#help-0 | Mathematics | Page 611

civic crypt May 15, 2021, 12:06 PM

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Now, if x>0 then y>x

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If x<0 then y-x<0 and y<x, but as y y is positive this cannot happen.

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Well y>x and y>0 has the solution y=5 x=-3

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right

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So 1/x > 1/y and y>0 forces x>0

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But y>x and y>0 doesnt force x>0

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@ashen wave Read #❓how-to-get-help

ashen wave May 15, 2021, 12:11 PM

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oh sorry I thought you were done

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Is this chanell open now ;-;

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channel

civic crypt May 15, 2021, 12:12 PM

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@ashen wave You have like 10 other channels

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Find a channel that did not have a message in last 30 min and post there

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For example in channel-9 noone has posted in last hour.

ashen wave May 15, 2021, 12:13 PM

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i am fully aware, but @alpine sable aren't you finished?

civic crypt May 15, 2021, 12:14 PM

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If you are aware then why you interupt us. I still have something to say.

ashen wave May 15, 2021, 12:14 PM

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nevermind

civic crypt May 15, 2021, 12:15 PM

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@alpine sable So is the answer none of above?

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I think the best way to solve it is to sketch the space of solutions for each of them.

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It was pretty tricky question, but yes, going the proper way and checking x>0 x<0 (or immediately concluding x>0) does it.

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Yea, was easy to make your mistake, I dont think I would get it on the exam. That was the trick of the poster.

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Np. Have a nice day.

tacit pollen May 15, 2021, 12:23 PM

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hii can someone help me with how to start this proof?
show that √(1001) - √(1000) < 1/[2√(1000)]

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sorry about the ugly formatting im not sure how to use the formatting bot properly yet

cinder lily May 15, 2021, 12:25 PM

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$\sqrt{1001} - \sqrt{1000} < \frac{1}{2\sqrt{1000}}$

ocean sealBOT May 15, 2021, 12:25 PM

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Yes ツ

tacit pollen May 15, 2021, 12:25 PM

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yes omg thank u lol:)

cinder lily May 15, 2021, 12:26 PM

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so i think we can start with multiplying the fractiom onn the right by sqrt1000

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so it would be sqrt1000 / 2

tacit pollen May 15, 2021, 12:30 PM

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wait if u multiplied the fraction by sqrt1000

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wouldn't it just be 1/2

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bc it cancels the denominator

cinder lily May 15, 2021, 12:30 PM

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5sqrt10 ?

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ok

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so

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$0 < \sqrt{1001} - \sqrt{1000} < \sqrt{1210} - \sqrt{1000}$

ocean sealBOT May 15, 2021, 12:37 PM

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Yes ツ

cinder lily May 15, 2021, 12:37 PM

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simplify the rhs

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its just \sqrt{10}

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which is less than 5\sqrt{10}

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and $5\sqrt{10} = \frac{10\sqrt{10}}{2} = \frac{1}{2\sqrt{1000}}$

ocean sealBOT May 15, 2021, 12:38 PM

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Yes ツ

cinder lily May 15, 2021, 12:38 PM

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@tacit pollen

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$0 < \sqrt{1001} - \sqrt{1000} < \sqrt{1210} - \sqrt{1000} = 11\sqrt{10} - 10\sqrt{10} = \sqrt{10} < 5\sqrt{10} = \frac{1}{2\sqrt{1000}}$

ocean sealBOT May 15, 2021, 12:40 PM

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Yes ツ

cinder lily May 15, 2021, 12:40 PM

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does that make sense

tacit pollen May 15, 2021, 12:41 PM

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wait does 5sqrt10 = 1/2sqrt1000

cinder lily May 15, 2021, 12:41 PM

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yes

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multiply by \sqrt{1000}

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and simplify to get 5sqrt10

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what is c

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i see

alpine sable May 15, 2021, 12:43 PM

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someone german who can help me

cinder lily May 15, 2021, 12:43 PM

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but

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you dont know that its smaller than 5root 10

tacit pollen May 15, 2021, 12:44 PM

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okay i'm still a bit confused ngl

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but i'll give what u said a go

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thank you so much!! to both of u:)

cinder lily May 15, 2021, 12:44 PM

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tacit pollen okay i'm still a bit confused ngl

what are you confused about

tacit pollen May 15, 2021, 12:45 PM

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the 5sqrt10 = 1/2sqrt1000 part

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when i put it into calc they have diff values

cinder lily May 15, 2021, 12:45 PM

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tacit pollen when i put it into calc they have diff values

let me check

tacit pollen May 15, 2021, 12:45 PM

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ohhhh okay

cinder lily May 15, 2021, 12:46 PM

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they look the same to me

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@tacit pollen what different answers are you getting

tacit pollen May 15, 2021, 12:48 PM

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i get 5√10 = 15.8...

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and 1/2√1000 = 0.0158...

cinder lily May 15, 2021, 12:49 PM

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:/

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my mistake :o

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sorry

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let me do it again

tacit pollen May 15, 2021, 12:51 PM

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omg nono that's okay

bronze grotto May 15, 2021, 12:59 PM

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Hey, can someone please help me with this question

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This is what I have done so far

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Don't quite understand how to approach part b

cinder lily May 15, 2021, 1:02 PM

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@tacit pollen ive got something

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maybe not what youre expected to do though

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but here it is

tacit pollen May 15, 2021, 1:02 PM

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omgosh thank u regardless

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yeee i read thru and i kind of get it but my school hasn't learnt that theorem yet

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so i dont know if im allowed to work it out like that

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thank u tho!!

cinder lily May 15, 2021, 1:05 PM

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First note that $10.01^2 = 100.2001 \newline 0 < \sqrt{1001} - \sqrt{1000} < \sqrt{1002.001} - \sqrt{1000} < 10.01\sqrt{10} - 10\sqrt{10} = 0.01\sqrt{10} = \frac{1}{100}\sqrt{10} < \frac{1}{20}\sqrt{10} = \frac{1}{2\sqrt{1000}}$

ocean sealBOT May 15, 2021, 1:06 PM

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Yes ツ

buoyant vale May 15, 2021, 1:06 PM

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8x-16=3x-2sqrtx

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could someone get the roots of that

cinder lily May 15, 2021, 1:06 PM

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multiply by x

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maybe

bronze grotto May 15, 2021, 1:07 PM

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#help-8

cinder lily May 15, 2021, 1:07 PM

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ocean seal **Yes ツ**

do you understand this? is it ok? @tacit pollen

bronze grotto May 15, 2021, 1:07 PM

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Already posted it there

tacit pollen May 15, 2021, 1:08 PM

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omgosh bro i hate to bring this up again but idk if √10/20 = 1/2√1000

cinder lily May 15, 2021, 1:08 PM

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aw let me check again

tacit pollen May 15, 2021, 1:08 PM

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buoyant vale 8x-16=3x-2sqrtx

u can rewrite as a quadratic in sqrtx

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HASHA nono its okay you've been helping me w this question for agess

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i'll go think abt it some more myself

cinder lily May 15, 2021, 1:09 PM

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nooo i must do this

tacit pollen May 15, 2021, 1:10 PM

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HAHA okay i will think abt it too i'll update u if i get it

cinder lily May 15, 2021, 1:10 PM

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ok yes but we can modify the proof slightly

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but before

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$\frac{1}{2\sqrt{1000}} = \frac{1\sqrt{10}}{200}$

ocean sealBOT May 15, 2021, 1:11 PM

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Yes ツ

cinder lily May 15, 2021, 1:11 PM

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right? @tacit pollen

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we can choose a smaller initial value

tacit pollen May 15, 2021, 1:12 PM

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yupp

cinder lily May 15, 2021, 1:14 PM

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$10.001^2 = 100.020001 \newline 0 < \sqrt{1001} - \sqrt{1000} < \sqrt{1000.20001} - \sqrt{1000} = 10.001\sqrt{10} - 10\sqrt{10} = 0.001\sqrt{10} = \frac{1}{1000}\sqrt{10} < \frac{1}{200}\sqrt{10}$

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@tacit pollen

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IM SO SORRY FOR MAKING MISTAKES

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EARLIER

tacit pollen May 15, 2021, 1:16 PM

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BRO WHAT no need to apologise AT ALL

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OMG ASDHDH okay this makes sense

cinder lily May 15, 2021, 1:16 PM

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is this correct now thoug?

tacit pollen May 15, 2021, 1:17 PM

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wait idk if the last step is obvious tho

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wait jkjk

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YEAH

cinder lily May 15, 2021, 1:17 PM

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:D

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so you understand and its clear to you?

tacit pollen May 15, 2021, 1:17 PM

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YAYAY

cinder lily May 15, 2021, 1:17 PM

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YEEE

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fml

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lol

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its wrong

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omg

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i keep making mistakes!!!

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ill dm you a correct solution

tacit pollen May 15, 2021, 1:19 PM

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omg what i didnt even realise

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okayiee

cinder lily May 15, 2021, 1:20 PM

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small error but ill fix hopeuflly

tacit pollen May 15, 2021, 1:22 PM

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OHH OKAY OMG i got it

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i'll dm u then hehe

sly mantle May 15, 2021, 1:40 PM

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@lucid ember don't multipost

desert kernel May 15, 2021, 1:44 PM

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Help:)

civic crypt May 15, 2021, 1:45 PM

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What have you tried?

desert kernel May 15, 2021, 1:45 PM

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Not really anything, I don’t understand what to do:,(

tacit pollen May 15, 2021, 1:46 PM

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rewrite -3(log5)4 !!

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lol sorry idk how to format but basically rewrite the power thingy

desert kernel May 15, 2021, 1:46 PM

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Alright I’ll try

tacit pollen May 15, 2021, 1:47 PM

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after u rewrite that as a log5(something)

desert kernel May 15, 2021, 1:47 PM

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Just use an unknown?

tacit pollen May 15, 2021, 1:47 PM

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oh wait it's not an unknown

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u can use log laws

civic crypt May 15, 2021, 1:47 PM

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no. the thing in front the algorithm put inside as an exponent

tacit pollen May 15, 2021, 1:47 PM

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to move the -3

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i just didn't know if i should give the answer or let you work it out

desert kernel May 15, 2021, 1:49 PM

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Like this?

tacit pollen May 15, 2021, 1:49 PM

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not quitee

civic crypt May 15, 2021, 1:49 PM

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https://en.wikipedia.org/wiki/List_of_logarithmic_identities#Using_simpler_operations

tacit pollen May 15, 2021, 1:49 PM

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yeahh^^

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the third law

desert kernel May 15, 2021, 1:49 PM

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tacit pollen not quitee

Ah:,)

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Alright

tacit pollen May 15, 2021, 1:50 PM

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anyways once u rewrite it in the form log base 5 (something)

desert kernel May 15, 2021, 1:50 PM

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Yea?

tacit pollen May 15, 2021, 1:51 PM

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u can cancel the 5 and the log

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bc the base is 5

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and the answer is (something)

tacit pollen May 15, 2021, 1:51 PM

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civic crypt

so just use the third law down from this pic to rewrite the exponent

desert kernel May 15, 2021, 1:51 PM

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Ok..

civic crypt May 15, 2021, 1:52 PM

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This also says on wiki page.

desert kernel May 15, 2021, 1:53 PM

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Woah this is confusing

tacit pollen May 15, 2021, 1:53 PM

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do u want me to write it down for you

desert kernel May 15, 2021, 1:53 PM

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I think I kinda get it?

quaint trout May 15, 2021, 1:54 PM

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The most important thing to know about logs is the one thing they never teach anyone. They just yell about log rules.

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log_b (a) is the exponent of b that gives you a.

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That's what it means

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So when log_b (a) is the exponent of b, the answer is a.

desert kernel May 15, 2021, 1:55 PM

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Alright

quaint trout May 15, 2021, 1:55 PM

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So it's not a rule you should memorize. It's how you should intetpret what a log is.

desert kernel May 15, 2021, 1:55 PM

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Thanks guys!! 😄

nova anvil May 15, 2021, 1:56 PM

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in this problem were dealing with solution in an interval

Screen_Shot_2021-05-15_at_9.55.43_PM.png

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so should the solution be: $u = e^{Re(\lambda)t}cos(bt)$?

ocean sealBOT May 15, 2021, 1:57 PM

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Anticipation

charred heron May 15, 2021, 2:05 PM

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this

alpine sable May 15, 2021, 2:13 PM

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Could someone dm me to help me with geometry? Im really struggling and I need some help.

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ok yeah, its just a lot of questions

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ive been having trouble focusing in class so im kind of behind

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these are a few of them

quaint trout May 15, 2021, 2:16 PM

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Is this a test?

alpine sable May 15, 2021, 2:16 PM

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quaint trout Is this a test?

no its a classwork

quaint trout May 15, 2021, 2:16 PM

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Asking because of the I'm Done button

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Okay

languid prism May 15, 2021, 2:17 PM

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Use distance formula for ques1

alpine sable May 15, 2021, 2:18 PM

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ok thanks i just finished the first one

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i got 27.9

quaint trout May 15, 2021, 2:19 PM

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,w sqrt(26^2 + 10^2)

ocean sealBOT May 15, 2021, 2:19 PM

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Results provided by WolframAlpha

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copper heath May 15, 2021, 2:26 PM

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Does anyone know the difference between Spearman and Pearson correlation coefficient?

upper kayak May 15, 2021, 2:31 PM

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alpine sable

The midsegment of a trapezoid is the average of the parallel sides

upper kayak May 15, 2021, 2:32 PM

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alpine sable

Diameter is twice radius

half cobalt May 15, 2021, 2:51 PM

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How do we find the height of a triangle knowing an angle and only one side?

alpine sable May 15, 2021, 2:55 PM

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quasi sable May 15, 2021, 2:55 PM

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right so I would probably have to drag the line down a little, thanks

alpine sable May 15, 2021, 2:55 PM

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pls help

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quasi scarab May 15, 2021, 3:02 PM

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alpine sable

take the root of it

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and round up

alpine sable May 15, 2021, 3:02 PM

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ok

half cobalt May 15, 2021, 3:03 PM

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yeah my height cuts my angle

latent iron May 15, 2021, 3:05 PM

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Say I am told x<3+sqrt(36+a), how can I find when f(x) is smaller than 0

nova anvil May 15, 2021, 3:11 PM

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nova anvil so should the solution be: $u = e^{Re(\lambda)t}cos(bt)$?

<@&286206848099549185> could someone confirm if this is true?

half cobalt May 15, 2021, 3:19 PM

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so the angle a equals 40° and the side AC is 8cm. The point of the exercise is to find the area of the triangle in gray. I would like to find the height to find the side BC.

alpine sable May 15, 2021, 3:26 PM

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@modern surge?????

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ah k

mystic palm May 15, 2021, 3:28 PM

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someone can help me ?

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i'm french i need help

alpine sable May 15, 2021, 3:35 PM

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@modern surgedude

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hes speaking english

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so just speak english

half cobalt May 15, 2021, 3:35 PM

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no I understand french dw

alpine sable May 15, 2021, 3:35 PM

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i know ur french

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but

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this is an english server

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uh

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i am not gonna be a karen but yeah u can continue

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i dont wanna be a fun ruiner and cause a drama for no reason

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So what are you doing here

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Nobody said this has to be an English speaking server

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but @modern surge i appreciate that ur taking time into helping a needy man a mate who needs help. u can continue

alpine sable May 15, 2021, 3:37 PM

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alpine sable Nobody said this has to be an English speaking server

well okay

alpine sable May 15, 2021, 3:38 PM

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alpine sable well okay

ok so what are you doing...

alpine sable May 15, 2021, 3:38 PM

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alpine sable ok so what are you doing...

nothing

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just chilling

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ok? So why are you here?

alpine sable May 15, 2021, 3:38 PM

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alpine sable ok? So why are you here?

i can be? this server is public

alpine sable May 15, 2021, 3:38 PM

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alpine sable ok? So why are you here?

Hey don't be rude

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You infiltrated their help session just to say "speak english"

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when they clearly are both french speakers

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its cool

alpine sable May 15, 2021, 3:39 PM

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alpine sable i can be? this server is public

He/She is right this server is public

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i thought this server is an english server

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plus this is not an English speaking server, it's just we all speak English cause it's a generic language

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i didnt knew you could speak any language

alpine sable May 15, 2021, 3:39 PM

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alpine sable plus this is not an English speaking server, it's just we all speak English caus...

bruh i said

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stop poking me for no reason

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So what would you do if someone spoke only Mandarin CHinese

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Tell them to speak english?

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fresh

alpine sable May 15, 2021, 3:40 PM

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alpine sable So what would you do if someone spoke only Mandarin CHinese

Hey man its over

alpine sable May 15, 2021, 3:40 PM

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alpine sable Hey man its over

Ok then why are you here?

viscid lagoon May 15, 2021, 3:41 PM

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Hey, calm down. We're here because we struggling with maths shit, that's the reason why we're here, fighting won't solve anything. So please respect each other

alpine sable May 15, 2021, 3:41 PM

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You really think we're arguing?

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well idk about them

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I was just informing them

viscid lagoon May 15, 2021, 3:42 PM

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alpine sable I was just informing them

I know but still, arguing with each other is pointless. So hey, just chill and ignore them. Do maths idk

alpine sable May 15, 2021, 3:43 PM

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@viscid lagooni know right but this guy is just exacerbating the fight and making it worse

half cobalt May 15, 2021, 3:44 PM

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je sais pas ce que représente D et O

alpine sable May 15, 2021, 3:45 PM

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@modern surge@half cobaltbonjour

viscid lagoon May 15, 2021, 3:45 PM

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alpine sable <@!331474039459545090>i know right but this guy is just exacerbating the fight a...

it's all good, just chill with each other for now. I don't wanna interrupt people with their maths rn. Good luck buddy

alpine sable May 15, 2021, 3:46 PM

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viscid lagoon it's all good, just chill with each other for now. I don't wanna interrupt peopl...

yes same thanks good luck

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anneyongahseyo

fringe robin May 15, 2021, 4:02 PM

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Can some one take me through this

shell widget May 15, 2021, 4:07 PM

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what are u confused about

sly mantle May 15, 2021, 4:07 PM

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you didn't post a problem

fringe robin May 15, 2021, 4:09 PM

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can i send pic to show?

shell widget May 15, 2021, 4:09 PM

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Yes

fringe robin May 15, 2021, 4:10 PM

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K 2 min

alpine sable May 15, 2021, 4:12 PM

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can anyone help me with this question?

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An infinite geometric series begins at 15 and converges to 9. The second term of this series is

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I think its -10 but im not too sure

tight locust May 15, 2021, 4:13 PM

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a/1-r = 9

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and in this case a = 15

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-10 is way far off

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but at least you knew it was negative!

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wait i'm sorry

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i thought you wanted to find r

alpine sable May 15, 2021, 4:14 PM

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nah its the second term

tight locust May 15, 2021, 4:14 PM

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what did you get for r?

alpine sable May 15, 2021, 4:14 PM

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-2/3

tight locust May 15, 2021, 4:15 PM

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right

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so 15* -2/3 =

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-10

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good job!

alpine sable May 15, 2021, 4:16 PM

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awesome thanks!

tight locust May 15, 2021, 4:16 PM

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sorry that i misread the question

alpine sable May 15, 2021, 4:16 PM

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i got a couple more about series/sequences if you dont mind helping me out

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A sequence has the following explicit definition: An = ((n+1)/n)^n. Which of the following statements best describes this sequence?

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This sequence does not converge

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this sequence converges to 0

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this sequence converges to 1

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this sequence converges to a different number

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I think its another number

manic quail May 15, 2021, 4:19 PM

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$$A_n = {(\frac{n+1}{n})}^n$$

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This?

ocean sealBOT May 15, 2021, 4:19 PM

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𝔙eryhappyperson

alpine sable May 15, 2021, 4:19 PM

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yep

gray isle May 15, 2021, 4:20 PM

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what number do you think it converges to

manic quail May 15, 2021, 4:20 PM

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You could split the fraction in the middle first, if that makes it more obvious.

alpine sable May 15, 2021, 4:20 PM

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I got around 3.5 ish, not too sure if its right

gray isle May 15, 2021, 4:20 PM

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this might be more recogniseable:
$$A_n = \br{1 + \frac 1n}^n$$

ocean sealBOT May 15, 2021, 4:20 PM

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ℝamonov

alpine sable May 15, 2021, 4:22 PM

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ahhhh so it converges to 1

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thanks

strong furnace May 15, 2021, 4:23 PM

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Does it?

manic quail May 15, 2021, 4:23 PM

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alpine sable ahhhh so it converges to 1

wut

alpine sable May 15, 2021, 4:23 PM

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shit im slow

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mb lol

manic quail May 15, 2021, 4:23 PM

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,w lim as n to infty (1+1/n)^n

strong furnace May 15, 2021, 4:24 PM

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Bruh

ocean sealBOT May 15, 2021, 4:24 PM

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gray isle May 15, 2021, 4:25 PM

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I got around 3.5 ish
how high were you testing

fringe robin May 15, 2021, 4:25 PM

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if n-inf the lim f(x) ^ g(x) is equal to e^(f(x)-1)*(g(x))

gray isle May 15, 2021, 4:25 PM

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even a relatively small number like 100 gets you pretty close to e

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,calc (1 + 1/100)^100

ocean sealBOT May 15, 2021, 4:26 PM

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Result:

2.7048138294215

manic quail May 15, 2021, 4:26 PM

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even 1 doesn't give you 3.5 xD

gray isle May 15, 2021, 4:26 PM

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,w solve (1 + 1/x)^x = 3.5

ocean sealBOT May 15, 2021, 4:27 PM

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gray isle May 15, 2021, 4:27 PM

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lol

strong furnace May 15, 2021, 4:27 PM

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That is close to -e

manic quail May 15, 2021, 4:27 PM

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,w (1+1/-e)^(-e)

alpine sable May 15, 2021, 4:28 PM

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hmm honestly i have no idea what i did last night to get that

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rip

ocean sealBOT May 15, 2021, 4:28 PM

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alpine sable May 15, 2021, 4:28 PM

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If a sequence converges, then the corresponding series will also converge.

If a series converges, then the corresponding sequence must converge to zero.

If a sequence converges to zero, then the corresponding series must also converge.

If a series converges it must be geometric.

If an arithmetic sequence has a common difference that is between -1 and zero, it may converge

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I think its

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the middle 3

manic quail May 15, 2021, 4:29 PM

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huh

gray isle May 15, 2021, 4:29 PM

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what do they mean by corresponding

strong furnace May 15, 2021, 4:30 PM

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Series is the sum of a sequence

manic quail May 15, 2021, 4:30 PM

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I mean, you hit one correct one xD

alpine sable May 15, 2021, 4:30 PM

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MAN

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Im taking this on my own and the vids hasnt been of too much help

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so i have just been grinding questions

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wait can you guys explain pls

manic quail May 15, 2021, 4:32 PM

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For the third statement, consider this:
$$\sum_{n=1}^{\infty}\frac{1}{n}$$

ocean sealBOT May 15, 2021, 4:32 PM

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𝔙eryhappyperson

manic quail May 15, 2021, 4:33 PM

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The limit of the corresponding sequence is 0, but the sum diverges.

alpine sable May 15, 2021, 4:34 PM

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so its second and fourth?

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sorry im still getting kinda lost here

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so just second in that one

strong furnace May 15, 2021, 4:35 PM

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How?

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That is not a geometric sequence either

manic quail May 15, 2021, 4:37 PM

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alpine sable ```Indicate all of the following statements that are TRUE. If a sequence conver...

For the 4th one, consider something like the sum of the reciprocal of the Fibonacci numbers.

upbeat talon May 15, 2021, 4:37 PM

#

I don’t get it either lmfao

manic quail May 15, 2021, 4:37 PM

#

upbeat talon I don’t get it either lmfao

What don't you get?

strong furnace May 15, 2021, 4:38 PM

#

This was a good counterexample for 4th as well

alpine sable May 15, 2021, 4:38 PM

#

alpine sable ```Indicate all of the following statements that are TRUE. If a sequence conver...

So just 2 for this one then

upbeat talon May 15, 2021, 4:39 PM

#

So 2,4,5?

#

:/

alpine sable May 15, 2021, 4:40 PM

#

lol sorry I am so lost at this

alpine sable May 15, 2021, 4:41 PM

#

upbeat talon So 2,4,5?

I think this is prob it?

upbeat talon May 15, 2021, 4:42 PM

#

Ye I don’t rly remember any of this... my b

#

Any of this that well*

#

Gl on the rest of ur questions!

reef spindle May 15, 2021, 4:45 PM

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How do I solve this? If M's coords are (u,v), then the midpoint of OQ is (u,v), which would be the coordinates of point P, meaning that point P lies on OQ, yes?

#

Would u be the magnitude of vector(u)?

alpine sable May 15, 2021, 4:48 PM

#

i need help

reef spindle May 15, 2021, 4:48 PM

#

@alpine sable occupied channel #❓how-to-get-help

alpine sable May 15, 2021, 4:48 PM

#

sadcat

strong furnace May 15, 2021, 4:49 PM

#

reef spindle Would u be the magnitude of vector(u)?

There is a problem in the way you have named things but if you mean x-ordinate of M is magnitude of position vector of P then you are incorrect

strong furnace May 15, 2021, 4:50 PM

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reef spindle How do I solve this? If M's coords are (u,v), then the midpoint of OQ is (u,v), ...

Also to solve this do you know the matrix equation for rotation of points in 2D Cartesian plane?

reef spindle May 15, 2021, 4:50 PM

#

strong furnace Also to solve this do you know the matrix equation for rotation of points in 2D ...

Yeah, that's part of the previous question

strong furnace May 15, 2021, 4:51 PM

#

And do you know the relation between the coordinates of M and Q?

reef spindle May 15, 2021, 4:51 PM

#

This is it, yes?

strong furnace May 15, 2021, 4:51 PM

#

Yes

#

You have to use this result with the relation between vector OM and OQ or matrix M and Q

reef spindle May 15, 2021, 4:53 PM

#

ohh

reef spindle May 15, 2021, 4:58 PM

#

strong furnace You have to use this result with the relation between vector OM and OQ or matrix...

Vector OM would be (x, y), yes?

strong furnace May 15, 2021, 4:58 PM

#

Should be (u,v) no?

reef spindle May 15, 2021, 4:58 PM

#

Yeah

#

And u = (x,0) and v = (0,y)

strong furnace May 15, 2021, 4:59 PM

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u is an ordinate and v is an ordinate they are not individual points

reef spindle May 15, 2021, 4:59 PM

#

Ohh wait

#

oop

strong furnace May 15, 2021, 4:59 PM

#

If you're looking for a relation between u and x

#

You should be looking at u and x' first

bronze grotto May 15, 2021, 5:09 PM

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Hey, could someone please help me with the last part of this?

#

Part circled in orange is my working for the last bit

buoyant vale May 15, 2021, 5:48 PM

#

#

could soemone help me with this?

cloud vapor May 15, 2021, 5:54 PM

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You need to prove that 2 opposite sides are parallel, and then that the other pair of sides aren't.So to prove that 2 sides are parallel, their vectors must be multiples of one another. You find OC and see if that's a multiple of AB. Then find CB and see if that's parallel to OA. The question tells that it is a trapezium, so you will have one pair of parallel sides and another won't be making it a trapezium

buoyant vale May 15, 2021, 5:55 PM

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thank you

indigo storm May 15, 2021, 5:57 PM

#

Is this correct?

shell widget May 15, 2021, 5:59 PM

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3rd line

#

last part

indigo storm May 15, 2021, 5:59 PM

#

Last answer

shell widget May 15, 2021, 5:59 PM

#

-6(a-2)(a-1)

#

is wrong

#

you wrote -6a + 12(a-1)

#

when it should be -6a(a-1) + 12(a-1)

indigo storm May 15, 2021, 6:00 PM

#

Which line?

shell widget May 15, 2021, 6:00 PM

#

3rd line

#

last part

#

1st line being the question itself

alpine sable May 15, 2021, 7:13 PM

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i happen to be stuck on some hw i need some help pls

oak chasm May 15, 2021, 7:14 PM

#

@alpine sable Which number are you doing first?

alpine sable May 15, 2021, 7:14 PM

#

oak chasm May 15, 2021, 7:14 PM

#

OK, do you know how to find the hypotenuse?

alpine sable May 15, 2021, 7:15 PM

#

no

oak chasm May 15, 2021, 7:15 PM

#

OK, do you know how to find the right angle?

alpine sable May 15, 2021, 7:17 PM

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tbh I dont remember mostly everything. Im so confused to the point where i dont even know how to approach the problem

oak chasm May 15, 2021, 7:17 PM

#

OK, we'll start with finding the right angle.

#

See point C on the triangle? It has a tiny square next to it. That means right angle.

#

Does that make sense?

alpine sable May 15, 2021, 7:18 PM

#

yes

oak chasm May 15, 2021, 7:18 PM

#

OK, now see the two sides of the triangle that touch the right angle?

alpine sable May 15, 2021, 7:19 PM

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yea

oak chasm May 15, 2021, 7:19 PM

#

OK, cover them up with your fingers.

#

What side is left over?

alpine sable May 15, 2021, 7:20 PM

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25 is the hypotenuse?

oak chasm May 15, 2021, 7:20 PM

#

Right.

#

That's how you find the hypotenuse. Cover up the two sides touching the right angle. The other side is the hypotenuse.

#

Does that make sense?

alpine sable May 15, 2021, 7:20 PM

#

yeah i remember doing that

oak chasm May 15, 2021, 7:20 PM

#

OK, now the other two sides are called the legs.

#

Let's look at angle A.

#

Cover up the hypotenuse. See the other side that touches A?

alpine sable May 15, 2021, 7:22 PM

#

yes

oak chasm May 15, 2021, 7:23 PM

#

The 7 side is A's adjacent side. Adjacent means "next to".

#

Does that make sense?

alpine sable May 15, 2021, 7:23 PM

#

yup

oak chasm May 15, 2021, 7:23 PM

#

OK, cover up the two sides next to A. What side is uncovered?

alpine sable May 15, 2021, 7:24 PM

#

7?

oak chasm May 15, 2021, 7:24 PM

#

No, 7 is a side that touches A.

#

It should be covered up.

alpine sable May 15, 2021, 7:24 PM

#

OH

#

24?

oak chasm May 15, 2021, 7:24 PM

#

Right.

#

The 24 side is A's opposite side. Opposite means all the way on the other side of the triangle.

#

OK, so let's switch to angle B.

#

Cover up the hypotenuse again. What uncovered side is touching B?

alpine sable May 15, 2021, 7:26 PM

#

24

oak chasm May 15, 2021, 7:26 PM

#

Right. The 24 side is B's adjacent side. Adjacent means "next to".

#

Now cover up both sides that touch B. What side is uncovered?

alpine sable May 15, 2021, 7:27 PM

#

7

oak chasm May 15, 2021, 7:27 PM

#

Right. The 7 side is B's opposite side. Opposite means all the way on the other side of the triangle.

#

OK, now have you heard of SOH CAH TOA?

alpine sable May 15, 2021, 7:27 PM

#

i dont think so

oak chasm May 15, 2021, 7:28 PM

#

OK, say SOH CAH TOA (so cuh toe-uh) out loud a few times.

#

It's important to memorize saying it.

alpine sable May 15, 2021, 7:28 PM

#

ah ok

oak chasm May 15, 2021, 7:29 PM

#

OK, so the first letters are SOH CAH TOA.

#

They stand for sine, cosine, and tangent.

#

The other letters stand for Adjacent, Opposite, and Hypotenuse.

#

The middle letter is on top of a fraction. The last letter is on bottom of a fraction.

#

So, SOH means "sine equals opposite over hypotenuse".

#

CAH means "cosine equals adjacent over hypotenuse".

#

TAH means "tangent equals opposite over adjacent".

#

Does that make sense?

alpine sable May 15, 2021, 7:31 PM

#

yes

oak chasm May 15, 2021, 7:31 PM

#

OK, so let's do the first one. sin(A).

#

Which of SOH, CAH, or TOA is for sin?

alpine sable May 15, 2021, 7:32 PM

#

cah

#

i think

oak chasm May 15, 2021, 7:33 PM

#

Nope. Let's make it easier.

#

sin(A). Do we use SOH, CAH, or TOA?

alpine sable May 15, 2021, 7:33 PM

#

soh?

oak chasm May 15, 2021, 7:33 PM

#

Right.

#

The first letter of sin matches the first letter of SOH.

#

OK, now remember how we had something over something with SOH CAH TOA?

#

We have O over H with SOH. What do O and H stand for?

alpine sable May 15, 2021, 7:36 PM

#

opposite over hypotenuse

oak chasm May 15, 2021, 7:36 PM

#

Right. Now what's the opposite side from A?

alpine sable May 15, 2021, 7:36 PM

#

24

oak chasm May 15, 2021, 7:36 PM

#

Right.

#

What's the hypotenuse?

alpine sable May 15, 2021, 7:37 PM

#

25

ocean sealBOT May 15, 2021, 7:37 PM

#

Chai T. Rex

oak chasm May 15, 2021, 7:37 PM

#

See how we did that?

#

We used SOH to help us.

#

Sine equals opposite over hypotenuse.

alpine sable May 15, 2021, 7:38 PM

#

ok

#

so the first answer would be 24/25?

oak chasm May 15, 2021, 7:39 PM

#

Yes, that's right.

alpine sable May 15, 2021, 7:39 PM

#

ah ok

oak chasm May 15, 2021, 7:39 PM

#

Ready for the cos(A)?

alpine sable May 15, 2021, 7:39 PM

#

yes

oak chasm May 15, 2021, 7:40 PM

#

OK, for cos(A), which of SOH, CAH, or TOA do we want?

alpine sable May 15, 2021, 7:40 PM

#

cah

oak chasm May 15, 2021, 7:40 PM

#

Right.

#

So, what do A and H stand for in CAH?

alpine sable May 15, 2021, 7:41 PM

#

adjacent over hypotenuse

oak chasm May 15, 2021, 7:41 PM

#

Right.

#

What's A's adjacent side?

alpine sable May 15, 2021, 7:43 PM

#

25?

oak chasm May 15, 2021, 7:43 PM

#

No, adjacent means "next to", but it means the one that's not the hypotenuse.

#

So, to find adjacent, cover up the hypotenuse and look at what other side is touching A.

alpine sable May 15, 2021, 7:43 PM

#

oh so 7

oak chasm May 15, 2021, 7:43 PM

#

Right.

#

So, what's the hypotenuse?

alpine sable May 15, 2021, 7:44 PM

#

25

ocean sealBOT May 15, 2021, 7:44 PM

#

Chai T. Rex

oak chasm May 15, 2021, 7:45 PM

#

Ready for tan(A)?

alpine sable May 15, 2021, 7:45 PM

#

yup

oak chasm May 15, 2021, 7:45 PM

#

OK, for tan(A), which do we use: SOH, CAH, or TOA?

alpine sable May 15, 2021, 7:46 PM

#

toa

oak chasm May 15, 2021, 7:46 PM

#

OK, what does O and A stand for?

alpine sable May 15, 2021, 7:46 PM

#

opposite over hypotenuse

oak chasm May 15, 2021, 7:46 PM

#

Nope.

#

What does A stand for?

alpine sable May 15, 2021, 7:47 PM

#

Adjacent

oak chasm May 15, 2021, 7:47 PM

#

Right, so what does OA stand for?

alpine sable May 15, 2021, 7:48 PM

#

opposite Adjacent?

oak chasm May 15, 2021, 7:48 PM

#

Right, opposite over adjacent.

#

Does that make sense?

alpine sable May 15, 2021, 7:48 PM

#

kinda

oak chasm May 15, 2021, 7:49 PM

#

OK, the last two letters in SOH, CAH, or TOA are two sides from Opposite, Hypotenuse, and Adjacent.

#

The first one is over the second one.

#

So, with SOH, it's Opposite over Hypotenuse.

#

Does that make sense?

alpine sable May 15, 2021, 7:51 PM

#

yes

oak chasm May 15, 2021, 7:51 PM

#

OK, what does CAH mean?

alpine sable May 15, 2021, 7:51 PM

#

adjacent over hypotenuse

oak chasm May 15, 2021, 7:51 PM

#

OK, what does TOA mean?

alpine sable May 15, 2021, 7:52 PM

#

opposite Adjacent

oak chasm May 15, 2021, 7:52 PM

#

Almost. Don't forget the "over".

#

What is TOA with "over" in it?

alpine sable May 15, 2021, 7:53 PM

#

opposite over Adjacent

oak chasm May 15, 2021, 7:53 PM

#

OK, so we're doing tan(A).

#

What's the opposite side from A?

alpine sable May 15, 2021, 7:53 PM

#

24?

oak chasm May 15, 2021, 7:53 PM

#

Right, what's the adjacent side to A?

alpine sable May 15, 2021, 7:54 PM

#

7

ocean sealBOT May 15, 2021, 7:54 PM

#

Chai T. Rex

oak chasm May 15, 2021, 7:54 PM

#

Does that make sense?

alpine sable May 15, 2021, 7:55 PM

#

yes

oak chasm May 15, 2021, 7:55 PM

#

OK, now say SOH CAH TOA (so cuh toe-uh) a few times out loud to help memorize it a little more.

alpine sable May 15, 2021, 7:56 PM

#

alright

oak chasm May 15, 2021, 7:56 PM

#

OK, now we switch to angle B.

#

We want to find sin(B). Which of SOH, CAH, TOA do we want?

alpine sable May 15, 2021, 7:57 PM

#

soh

oak chasm May 15, 2021, 7:57 PM

#

OK, what does OH mean?

alpine sable May 15, 2021, 7:57 PM

#

opposite over hypotenuse

oak chasm May 15, 2021, 7:57 PM

#

OK, what's the opposite side from B?

alpine sable May 15, 2021, 7:57 PM

#

7

oak chasm May 15, 2021, 7:58 PM

#

OK, what's the hypotenuse?

alpine sable May 15, 2021, 7:58 PM

#

25

ocean sealBOT May 15, 2021, 7:58 PM

#

Chai T. Rex

oak chasm May 15, 2021, 7:59 PM

#

OK, now let's change things up a little.

#

We're going to find cos(B).

#

Tell me the steps you'd take to find it.

alpine sable May 15, 2021, 8:00 PM

#

so i assume we going to use CAH

oak chasm May 15, 2021, 8:00 PM

#

Right.

alpine sable May 15, 2021, 8:01 PM

#

ah meaning adjacent over hypotenuse

oak chasm May 15, 2021, 8:01 PM

#

Good.

alpine sable May 15, 2021, 8:01 PM

#

and adjacent to b would be 24?

oak chasm May 15, 2021, 8:01 PM

#

Yes, that's right.

alpine sable May 15, 2021, 8:02 PM

#

so it would be 24/25

oak chasm May 15, 2021, 8:02 PM

#

Right!

#

Now, tell me how you'd find tan(B).

alpine sable May 15, 2021, 8:02 PM

#

I'd use TAH

oak chasm May 15, 2021, 8:02 PM

#

Nope.

#

Remember what you said out loud?

alpine sable May 15, 2021, 8:03 PM

#

TOA

oak chasm May 15, 2021, 8:03 PM

#

Right.

alpine sable May 15, 2021, 8:03 PM

#

Opposite Adjacent

oak chasm May 15, 2021, 8:03 PM

#

OK.

alpine sable May 15, 2021, 8:03 PM

#

25/24?

oak chasm May 15, 2021, 8:04 PM

#

What's the opposite side from B?

alpine sable May 15, 2021, 8:04 PM

#

7

tight locust May 15, 2021, 8:04 PM

#

TANGENT = OPPOSITE over ADJACENT

oak chasm May 15, 2021, 8:04 PM

#

What's the adjacent side to B?

alpine sable May 15, 2021, 8:04 PM

#

24

oak chasm May 15, 2021, 8:04 PM

#

OK, what's opposite over adjacent?

alpine sable May 15, 2021, 8:04 PM

#

7/24?

oak chasm May 15, 2021, 8:04 PM

#

Right.

thorn kindle May 15, 2021, 8:05 PM

#

sotrue

oak chasm May 15, 2021, 8:05 PM

#

OK, now say SOH CAH TOA a few more times out loud to help memorize it.

alpine sable May 15, 2021, 8:06 PM

#

ok

oak chasm May 15, 2021, 8:06 PM

#

OK, now what problem are you doing next?

alpine sable May 15, 2021, 8:07 PM

#

i think i can do 2 now on my own can we do 3?

oak chasm May 15, 2021, 8:07 PM

#

OK, but be careful with TOA.

alpine sable May 15, 2021, 8:07 PM

#

alright

oak chasm May 15, 2021, 8:07 PM

#

Make sure to check that you get the correct O and the correct A.

#

OK, question 3.

#

Set your calculator to degrees mode (usually DEG shows up).

alpine sable May 15, 2021, 8:08 PM

#

is there a website i can go to i don't have my calculator charged at the moment

oak chasm May 15, 2021, 8:08 PM

#

Sure, just do this here:

tight locust May 15, 2021, 8:08 PM

#

https://wolframalpha.com

Wolfram|Alpha: Making the world’s knowledge computable

Wolfram|Alpha brings expert-level knowledge and capabilities to the broadest possible range of people—spanning all professions and education levels.

oak chasm May 15, 2021, 8:09 PM

#

,w sin(85 degrees)

ocean sealBOT May 15, 2021, 8:09 PM

#

Results provided by WolframAlpha

Click here to refine your query online
Upgrade to WolframAlpha Pro!

oak chasm May 15, 2021, 8:09 PM

#

Make sure to say "degrees" in it.

tight locust May 15, 2021, 8:09 PM

#

,w sin(85)

oak chasm May 15, 2021, 8:09 PM

#

See how I did that?

ocean sealBOT May 15, 2021, 8:09 PM

#

Results provided by WolframAlpha

Click here to refine your query online
Upgrade to WolframAlpha Pro!

alpine sable May 15, 2021, 8:09 PM

#

kinda confused

tight locust May 15, 2021, 8:09 PM

#

WA is usually pretty good at determining whether you need deg or rad

oak chasm May 15, 2021, 8:09 PM

#

@alpine sable OK, so what does your problem ask for?

tight locust May 15, 2021, 8:10 PM

#

PepoG

alpine sable May 15, 2021, 8:11 PM

#

it says " sin63° "

oak chasm May 15, 2021, 8:11 PM

#

OK, say ,w sin(63 degrees)

alpine sable May 15, 2021, 8:11 PM

#

,w sin(63 degrees)

ocean sealBOT May 15, 2021, 8:11 PM

#

Results provided by WolframAlpha

Click here to refine your query online
Upgrade to WolframAlpha Pro!

oak chasm May 15, 2021, 8:11 PM

#

OK, see the decimal approximation part?

alpine sable May 15, 2021, 8:11 PM

#

yup

oak chasm May 15, 2021, 8:11 PM

#

What's that rounded to four decimal places?

alpine sable May 15, 2021, 8:11 PM

#

.8910

oak chasm May 15, 2021, 8:12 PM

#

OK, that's your answer.

alpine sable May 15, 2021, 8:12 PM

#

oh thats easy

oak chasm May 15, 2021, 8:12 PM

#

You can also go to https://wolframalpha.com and ask sin(63 degrees).

#

Try that and see where the decimal approximation shows up.

alpine sable May 15, 2021, 8:13 PM

#

ok

#

for cos24° do i replace sin with cos

oak chasm May 15, 2021, 8:14 PM

#

Yep. ,w cos(24 degrees)

alpine sable May 15, 2021, 8:14 PM

#

,w cos(24 degrees)

ocean sealBOT May 15, 2021, 8:14 PM

#

Results provided by WolframAlpha

Click here to refine your query online
Upgrade to WolframAlpha Pro!

alpine sable May 15, 2021, 8:15 PM

#

,w tan(24 degrees)

ocean sealBOT May 15, 2021, 8:15 PM

#

Results provided by WolframAlpha

Click here to refine your query online
Upgrade to WolframAlpha Pro!

alpine sable May 15, 2021, 8:16 PM

#

,w tan(42 degrees)

ocean sealBOT May 15, 2021, 8:16 PM

#

Results provided by WolframAlpha

Click here to refine your query online
Upgrade to WolframAlpha Pro!

oak chasm May 15, 2021, 8:16 PM

#

Be careful. Check problem 5.

alpine sable May 15, 2021, 8:18 PM

#

,w tan(86 degrees)

ocean sealBOT May 15, 2021, 8:18 PM

#

Results provided by WolframAlpha

Click here to refine your query online
Upgrade to WolframAlpha Pro!

alpine sable May 15, 2021, 8:18 PM

#

ah

#

thank you

oak chasm May 15, 2021, 8:18 PM

#

No problem.

alpine sable May 15, 2021, 8:19 PM

#

i want to make sure these are correct?

harsh swallow May 15, 2021, 8:20 PM

#

cos = cal

oak chasm May 15, 2021, 8:20 PM

#

Check cos(A).

harsh swallow May 15, 2021, 8:20 PM

#

which is adjacent/long

oak chasm May 15, 2021, 8:20 PM

#

Other ones look good.

alpine sable May 15, 2021, 8:20 PM

#

12/37?

oak chasm May 15, 2021, 8:21 PM

#

Right.

#

You're doing pretty well.

alpine sable May 15, 2021, 8:21 PM

#

thank you. im now on number 7

oak chasm May 15, 2021, 8:22 PM

#

OK, now it says to use tangent ratio. Which of SOH CAH TOA is tangent?

alpine sable May 15, 2021, 8:22 PM

#

toa?

oak chasm May 15, 2021, 8:22 PM

#

Right.

#

So, here's what we do.

#

Tangent equals opposite over adjacent.

harsh swallow May 15, 2021, 8:22 PM

#

toa stands for tan = opposite/adjacent

ocean sealBOT May 15, 2021, 8:23 PM

#

Chai T. Rex

oak chasm May 15, 2021, 8:23 PM

#

See how I have the angle, then the opposite over adjacent (TOA)?

alpine sable May 15, 2021, 8:24 PM

#

yes

oak chasm May 15, 2021, 8:24 PM

#

OK, now you do normal algebra to solve for x.

#

One thing to not do. Don't do anything to what's inside tan's parentheses.

ocean sealBOT May 15, 2021, 8:25 PM

#

Chai T. Rex

#

Chai T. Rex

oak chasm May 15, 2021, 8:25 PM

#

Does that make sense?

alpine sable May 15, 2021, 8:26 PM

#

kinda

harsh swallow May 15, 2021, 8:26 PM

#

another way of looking at that can be to say tan(41) = a

oak chasm May 15, 2021, 8:26 PM

#

For example, you can't divide the angle by 2 or something.

ocean sealBOT May 15, 2021, 8:27 PM

#

Chai T. Rex

#

Chai T. Rex

oak chasm May 15, 2021, 8:27 PM

#

So don't do that without a good reason.

#

Does that make sense?

alpine sable May 15, 2021, 8:28 PM

#

bruh this sounds hard not gonna lie 😭

oak chasm May 15, 2021, 8:28 PM

#

It takes some practice to get used to.

ocean sealBOT May 15, 2021, 8:28 PM

#

Chai T. Rex

alpine sable May 15, 2021, 8:29 PM

#

multiply it ?

oak chasm May 15, 2021, 8:30 PM

#

Multiply both sides by what?

#

x?

alpine sable May 15, 2021, 8:31 PM

#

12?

ocean sealBOT May 15, 2021, 8:32 PM

#

Chai T. Rex

oak chasm May 15, 2021, 8:32 PM

#

If you do that, x isn't any closer to being by itself.

alpine sable May 15, 2021, 8:33 PM

#

i thought 12 would cancel out

#

i guess not

oak chasm May 15, 2021, 8:33 PM

#

You can cancel it by dividing both sides by 12.

#

That'll put a 12 in the bottom on the right.

#

Then it'll cancel with the 12 in the top on the right.

ocean sealBOT May 15, 2021, 8:34 PM

#

Chai T. Rex

oak chasm May 15, 2021, 8:34 PM

#

See how that worked?

alpine sable May 15, 2021, 8:34 PM

#

yea

oak chasm May 15, 2021, 8:35 PM

#

OK, now here's a trick.

#

If you flip both sides over, you get x on the right.

ocean sealBOT May 15, 2021, 8:35 PM

#

Chai T. Rex

oak chasm May 15, 2021, 8:35 PM

#

See how I flipped both fractions?

alpine sable May 15, 2021, 8:36 PM

#

yes

oak chasm May 15, 2021, 8:36 PM

#

OK, so that's the exact value of x.

#

If you want an approximate value, ,w 12/tan(41 degrees)

alpine sable May 15, 2021, 8:37 PM

#

,w 12/tan(41 degrees)

ocean sealBOT May 15, 2021, 8:37 PM

#

Results provided by WolframAlpha

Click here to refine your query online
Upgrade to WolframAlpha Pro!

oak chasm May 15, 2021, 8:37 PM

#

If you ask that on https://wolframalpha.com, it'll have a more digits button.

#

You can then get as many digits as you need.

#

Hmm, never mind, not on this, apparently.

#

You can also Google search for 12/tan(41 degrees). Try it https://google.com/search?q=12%2Ftan(41+degrees).

alpine sable May 15, 2021, 8:46 PM

#

ok

simple dragon May 15, 2021, 8:52 PM

#

can someone explain something for me

#

#

#

why is the 81/4 x^4 crossed out

civic crypt May 15, 2021, 8:55 PM

#

cos^2(3x) - 1 = - (sin^2(3x)) = -(3x)^2 = -9x^2

#

And denominator 2x(3x/4) = 3x^2/2

#

So -18/3 = -6

#

I guess it is crossed out cause x^4 is much smaller than x^2 in small x values, so it is ignore

simple dragon May 15, 2021, 8:56 PM

#

ok but why was the 81/4 x^4 crossed out in this example though?

rigid pollen May 15, 2021, 8:56 PM

#

i see

simple dragon May 15, 2021, 8:57 PM

#

as in because its very small its basically zero?

civic crypt May 15, 2021, 8:57 PM

#

yes

simple dragon May 15, 2021, 8:57 PM

#

oh ok thanks g

civic crypt May 15, 2021, 8:57 PM

#

If x is for example 0.001 then x^2 is 0.00001, and x^4 is 0.000000001

#

So x^4 term is ignored

simple dragon May 15, 2021, 8:57 PM

#

yh yh i got it now thank u very much bro

#

https://tenor.com/view/catdancingcatdancecatdancandodancasengracado-gif-18132843

Tenor

alpine sable May 15, 2021, 9:01 PM

#

is this right i wanna make sure?

harsh swallow May 15, 2021, 9:02 PM

#

tan(27) = x/15

#

,w tan(27) = x/15

alpine sable May 15, 2021, 9:03 PM

#

hm

ocean sealBOT May 15, 2021, 9:03 PM

#

Results provided by WolframAlpha

Click here to refine your query online
Upgrade to WolframAlpha Pro!

harsh swallow May 15, 2021, 9:03 PM

#

thanks wolfram

#

thank

#

fucking idiot

#

😄

rigid pollen May 15, 2021, 9:03 PM

#

crap i put sin instead of tan

#

i don't deserve to be studying maths

harsh swallow May 15, 2021, 9:03 PM

#

,w 15tan(27)

ocean sealBOT May 15, 2021, 9:03 PM

#

Results provided by WolframAlpha

Click here to refine your query online
Upgrade to WolframAlpha Pro!

alpine sable May 15, 2021, 9:04 PM

#

i was right orrrrrrrrrrrrrrr

oak chasm May 15, 2021, 9:04 PM

#

@alpine sable Yes, I get that answer.

alpine sable May 15, 2021, 9:04 PM

#

ah thank you

#

?

harsh swallow May 15, 2021, 9:05 PM

#

tan(58) = 22/x

#

,w tan(58) = 22/x

oak chasm May 15, 2021, 9:06 PM

#

Hit the blue more button under it.

ocean sealBOT May 15, 2021, 9:06 PM

#

#

Results provided by WolframAlpha

Click here to refine your query online
Upgrade to WolframAlpha Pro!

oak chasm May 15, 2021, 9:06 PM

#

Hmm, guess it doesn't like approximate solutions.

harsh swallow May 15, 2021, 9:06 PM

#

wolfram i hate you sometimes

oak chasm May 15, 2021, 9:06 PM

#

,calc 22/tan(58 degrees)

ocean sealBOT May 15, 2021, 9:06 PM

#

Result:

13.747125742005

harsh swallow May 15, 2021, 9:07 PM

#

,w 22/tan(58)

ocean sealBOT May 15, 2021, 9:07 PM

#

Results provided by WolframAlpha

Click here to refine your query online
Upgrade to WolframAlpha Pro!

alpine sable May 15, 2021, 9:07 PM

#

hm

oak chasm May 15, 2021, 9:07 PM

#

@alpine sable We get a different answer.

harsh swallow May 15, 2021, 9:07 PM

#

,w 22 tan(58)

alpine sable May 15, 2021, 9:07 PM

#

where did i plug into wrong?

harsh swallow May 15, 2021, 9:08 PM

#

you put in 18 for b

#

b = 22

oak chasm May 15, 2021, 9:08 PM

#

@alpine sable Don't use online calculators to help yet. You still need practice doing it by hand for later tests and such.

alpine sable May 15, 2021, 9:12 PM

#

ok

#

need help with this

harsh swallow May 15, 2021, 9:12 PM

#

it says use sine

oak chasm May 15, 2021, 9:12 PM

#

OK, which of SOH CAH TOA do you use for sine?

alpine sable May 15, 2021, 9:12 PM

#

soh

oak chasm May 15, 2021, 9:12 PM

#

Yep.

#

So, what's the starting equation?

alpine sable May 15, 2021, 9:14 PM

#

no idea

oak chasm May 15, 2021, 9:14 PM

#

OK, what does SOH stand for?

alpine sable May 15, 2021, 9:15 PM

#

sine equals opposite over hypotenuse

oak chasm May 15, 2021, 9:15 PM

#

OK, so write sin(angle) = opposite/hypotenuse.

#

Then fill in the angle, the opposite side, and the hypotenuse.

#

That's an equation, so it's your starting equation.

alpine sable May 15, 2021, 9:16 PM

#

sin(35 degrees) =

#

what would the opposite be?

oak chasm May 15, 2021, 9:17 PM

#

Cover up the two sides that touch the angle.

#

What side is left?

alpine sable May 15, 2021, 9:17 PM

#

e is left

oak chasm May 15, 2021, 9:17 PM

#

Yes, e is all the way across the triangle from the angle, so it's the opposite.

alpine sable May 15, 2021, 9:18 PM

#

can u put it in the bot

ocean sealBOT May 15, 2021, 9:18 PM

#

Chai T. Rex

oak chasm May 15, 2021, 9:18 PM

#

Now fill in the hypotenuse.

alpine sable May 15, 2021, 9:19 PM

#

12

ocean sealBOT May 15, 2021, 9:19 PM

#

Chai T. Rex

oak chasm May 15, 2021, 9:19 PM

#

This is your starting equation.

alpine sable May 15, 2021, 9:20 PM

#

alright so

#

i kinda forgot the next step

oak chasm May 15, 2021, 9:20 PM

#

What can you do to get e on a side by itself?

#

Want to know a trick?

#

You said earlier to cancel, right?

alpine sable May 15, 2021, 9:21 PM

#

multiply?

oak chasm May 15, 2021, 9:21 PM

#

The thing other than e on the right is 12, right?

#

So, you need to cancel 12.

#

So, the 12 now is in the bottom.

#

So you need to put a 12 on top.

#

So, multiplying by 12 puts a 12 on top.

#

Dividing by 12 puts a 12 on bottom.

#

So, we multiply.

#

Does that make sense?

alpine sable May 15, 2021, 9:30 PM

#

yea

ocean sealBOT May 15, 2021, 9:32 PM

#

Chai T. Rex

alpine sable May 15, 2021, 9:32 PM

#

?

oak chasm May 15, 2021, 9:32 PM

#

,calc 12 sin(35 degrees)

ocean sealBOT May 15, 2021, 9:32 PM

#

Result:

6.8829172362126

oak chasm May 15, 2021, 9:32 PM

#

Almost.

#

Rounding is off a little.

alpine sable May 15, 2021, 9:33 PM

#

ah ok

#

this one im not to sure about cuz i dont know what side is what

oak chasm May 15, 2021, 9:34 PM

#

OK, how do you find the adjacent side?

#

Oh, wait.

#

Let me check it.

#

@alpine sable Yes, that's correct. Do you need a refresher on how to identify sides?

alpine sable May 15, 2021, 9:36 PM

#

for a triangle like that yea

oak chasm May 15, 2021, 9:36 PM

#

OK, find the right angle.

#

Which angle is it?

alpine sable May 15, 2021, 9:36 PM

#

that would be where a and b meet

#

?

oak chasm May 15, 2021, 9:36 PM

#

I don't know what you mean by a and b.

#

Is it the left, right, or top angle?

alpine sable May 15, 2021, 9:37 PM

#

top angle

oak chasm May 15, 2021, 9:37 PM

#

Right, it has the little square next to it.

#

OK, so cover up the sides that touch the right angle.

#

What side is left?

alpine sable May 15, 2021, 9:38 PM

#

n

oak chasm May 15, 2021, 9:38 PM

#

Right. That's the hypotenuse.

#

Now, let's find the opposite side from 39 degrees.

#

Cover up the two sides that touch the 39 degree angle.

#

What side is left?

alpine sable May 15, 2021, 9:39 PM

#

25

oak chasm May 15, 2021, 9:39 PM

#

Right. That's the opposite side from 39 degrees.

#

Now, let's find the adjacent side to 39 degrees.

#

Cover up the hypotenuse.

#

What other side touches 39 degrees?

alpine sable May 15, 2021, 9:40 PM

#

25

oak chasm May 15, 2021, 9:40 PM

#

No, 25 doesn't touch the 39 degree angle.

alpine sable May 15, 2021, 9:41 PM

#

oh

#

its the side with no number

oak chasm May 15, 2021, 9:41 PM

#

Right.

#

So that's how you find the adjacent side.

alpine sable May 15, 2021, 9:42 PM

#

i see

#

oak chasm May 15, 2021, 9:43 PM

#

Yes, that's right.

dusty oxide May 15, 2021, 9:50 PM

#

https://cdn.discordapp.com/attachments/326138757474680852/843241880694292510/20210515_234137.jpg

#

I need to calculate h can someone help me? I dont understand how to do it

#

I checked the answer and it was h = 30-30sin(35) but I dont understand how and why

#

<@&286206848099549185> Hi 👋

#

Ahh

#

I think I get it

#

Yeah makes sense

#

Thanks alot 👍

#

Very simple when u made such a good drawing

#

Wher

#

I mean I understand what u did

alpine sable May 15, 2021, 10:05 PM

#

hey

dusty oxide May 15, 2021, 10:06 PM

#

Np 👌

alpine sable May 15, 2021, 10:06 PM

#

question

#

im currently doing geometry work, can someone help me with my homework

dusty oxide May 15, 2021, 10:06 PM

#

Something I see everywhere people say "Dont ask to ask, just ask"

#

^

alpine sable May 15, 2021, 10:07 PM

#

ok ._.

#

ill send a pic of the paper im doing rq

#

#

its with like circles and stuff but i dont really get how to do it and im terrable at math

dusty oxide May 15, 2021, 10:09 PM

#

I need to get this verified but from what I think I know all the corners on those quadrillaterals will add up to 360

alpine sable May 15, 2021, 10:10 PM

#

uhhhhhhh

#

im not sure

dusty oxide May 15, 2021, 10:11 PM

#

Ah true

alpine sable May 15, 2021, 10:11 PM

#

the quadrilateral is the shape in the circle right?

dusty oxide May 15, 2021, 10:12 PM

#

Yeah

alpine sable May 15, 2021, 10:12 PM

#

ok

#

ive been trying to use this website called cheg but they dont explain it lmao they just kinda throw awnsers at me with no context

#

ok

#

yes

#

uhhhhh

#

theres alot of numbers there

#

ok

#

btw i have no clue on how to solve these, my teacher doesent rly "teach"

dusty oxide May 15, 2021, 10:17 PM

#

But if we would make a line from L to J the angles would be 180 but L wouldnt be 92 anymore but that might not matter at all

#

Or wait

#

Oh yeah nvm I understand I believe (I dont even need to know this but its interesting)

worldly gulch May 15, 2021, 10:20 PM

#

My math is bad

#

sully

alpine sable May 15, 2021, 10:20 PM

#

i dont understand what yall r saying ._.

worldly gulch May 15, 2021, 10:20 PM

#

alpine sable i dont understand what yall r saying ._.

Me neither

#

I'm rlly dumb when it comes to math

alpine sable May 15, 2021, 10:21 PM

#

me too

#

i have 9 papers due monday

worldly gulch May 15, 2021, 10:21 PM

#

I mean it's not that bad for me

#

but

#

it's still bad

#

yk

alpine sable May 15, 2021, 10:21 PM

#

bro do you know geometry

#

somewhat

dusty oxide May 15, 2021, 10:22 PM

#

@alpine sable Read the article he sent it makes sense if u just read it for a bit

alpine sable May 15, 2021, 10:22 PM

#

ok

fallow sun May 15, 2021, 10:24 PM

#

can someone hop in vc and help me out? Just 8 questions and we both can work on it sinc eill also need to learn this material eitherway :c

#

<@&286206848099549185>

fallow sun May 15, 2021, 10:54 PM

#

30 minutes before request <@&286206848099549185> if possible :3

hollow owl May 15, 2021, 11:15 PM

#

please help

remote heron May 15, 2021, 11:32 PM

#

hollow owl please help

when is an implication always true

hollow owl May 15, 2021, 11:32 PM

#

when the left is F

#

but I need to use axiom and all of this here

#

and I dont know how to prove it by using axioms

remote heron May 15, 2021, 11:34 PM

#

thonk

#

i guess me either

#

i think a good way would be to let $L(x) = \neg x \to x$

ocean sealBOT May 15, 2021, 11:35 PM

#

jan Niku

remote heron May 15, 2021, 11:35 PM

#

but idk if thats what youre being asked to do here

alpine sable May 15, 2021, 11:43 PM

#

,tex $n^{3}-(n-y)\times n\times (n+y)=y^{2}\times n$

hollow owl May 15, 2021, 11:45 PM

#

remote heron but idk if thats what youre being asked to do here

if I am use 2 axiom I must put the same x,y,z in both of them or it dosent metter?

ocean sealBOT May 15, 2021, 11:45 PM

#

Ranok Hui

remote heron May 15, 2021, 11:46 PM

#

hollow owl if I am use 2 axiom I must put the same x,y,z in both of them or it dosent mette...

i dont understand the question

#

you only have the statement x

#

so you should be okay to just use x

#

if youre applying an axiom that uses other letters thats fine as long as its applicable

alpine sable May 15, 2021, 11:46 PM

#

I haven't learn arrows and that thingy in front of the first x

alpine sable May 15, 2021, 11:47 PM

#

ocean seal **Ranok Hui**

And also is this true?

#

I just kind of made that discovery on the calculator.

hollow owl May 15, 2021, 11:47 PM

#

remote heron if youre applying an axiom that uses other letters thats fine as long as its app...

I mean if on the first axiom I put alpha = X can i put on the second alpha = \neg X?

remote heron May 15, 2021, 11:48 PM

#

second alpha?

#

you need to make alpha consistent

#

if you have a second alpha just use another letter

#

i mean you probably wanna use something like $P \to Q = \neg P \lor Q$ then $P = \neg Q$...

ocean sealBOT May 15, 2021, 11:50 PM

#

jan Niku

remote heron May 15, 2021, 11:50 PM

#

youll end up with something like $\neg P \lor P$ or whatever

ocean sealBOT May 15, 2021, 11:50 PM

#

jan Niku

remote heron May 15, 2021, 11:50 PM

#

idk if you have that as an identity?

alpine sable May 15, 2021, 11:55 PM

#

Idk, and can anybody explain what the arrow and the thing that looks like 7 mean?

#

$\neg$

ocean sealBOT May 15, 2021, 11:55 PM

#

Ranok Hui

remote heron May 15, 2021, 11:55 PM

#

logical negation

#

same as like

#

NOT

alpine sable May 15, 2021, 11:55 PM

#

So $\neg x$ is not x

ocean sealBOT May 15, 2021, 11:55 PM

#

Ranok Hui

alpine sable May 15, 2021, 11:55 PM

#

?

remote heron May 15, 2021, 11:56 PM

#

yea

alpine sable May 15, 2021, 11:56 PM

#

How about arrows?

remote heron May 15, 2021, 11:56 PM

#

https://en.wikipedia.org/wiki/List_of_logic_symbols

List of logic symbols

In logic, a set of symbols is commonly used to express logical representation. The following table lists many common symbols, together with their name, pronunciation, and the related field of mathematics. Additionally, the third column contains an informal definition, the fourth column gives a short example, the fifth and sixth give the Unicode ...

#

catthumbsup

alpine sable May 15, 2021, 11:57 PM

#

Thanks

remote heron May 15, 2021, 11:57 PM

#

theres a lot of symbols

alpine sable May 15, 2021, 11:59 PM

#

Yeah

#

So the definition of your question is (not x implies x) implies x

#

?

remote heron May 16, 2021, 12:00 AM

#

idk if that person is still here

alpine sable May 16, 2021, 12:02 AM

#

$(\neg x \to x)\to x$ = (not x implies to x) implies to x?

#

Oh my

ocean sealBOT May 16, 2021, 12:03 AM

#

Ranok Hui

remote heron May 16, 2021, 12:03 AM

#

sort of yea

alpine sable May 16, 2021, 12:04 AM

#

I still can't understand it.

#

It has another definition of if then

#

If not x then x?

#

Then if x then x?

remote heron May 16, 2021, 12:05 AM

#

you should check out the wiki article or something if youre curious

#

its primarily using definitions of a logical statement

#

or if you track down a book on proofs theyll usually cover logic before anything else

storm solar May 16, 2021, 12:06 AM

#

#linear-algebra message

alpine sable May 16, 2021, 12:07 AM

#

So does the example mean: if x = 2, then $x^2$ = 4?

Screenshot_2021-05-16-08-06-42-452_com.android.chrome.jpg

ocean sealBOT May 16, 2021, 12:07 AM

#

Ranok Hui

oak chasm May 16, 2021, 12:08 AM

#

@alpine sable Yes.

remote heron May 16, 2021, 12:08 AM

#

if x=2, then is x^2 necessarily 4

woeful pulsar May 16, 2021, 12:08 AM

#

the aim of the example is to show that implications are not necessarily equivalent to their converse

remote heron May 16, 2021, 12:09 AM

#

"all dogs are mammals" doesnt mean that "all mammals are dogs"

alpine sable May 16, 2021, 12:09 AM

#

Ok

remote heron May 16, 2021, 12:09 AM

#

that kind of thing

ocean sealBOT May 16, 2021, 12:09 AM

#

Chai T. Rex

remote heron May 16, 2021, 12:10 AM

#

the most fascinating thing is that A-> B doesnt mean B->A but it does mean NOT B -> NOT A

#

well at least its cool to me

woeful pulsar May 16, 2021, 12:10 AM

#

i.e. implications are equivalent to their contrapositive

#

that allows you to do proof by proving the contrapositive

alpine sable May 16, 2021, 12:11 AM

#

Because not A and not B just needs to be different from its original value, so just chose any value that is neither A nor B?

oak chasm May 16, 2021, 12:11 AM

#

No, not A doesn't mean any proposition but A.

#

Not A means that A isn't true.

remote heron May 16, 2021, 12:11 AM

#

these things are a little more tightly defined than youre treating them

alpine sable May 16, 2021, 12:11 AM

#

Oh

remote heron May 16, 2021, 12:12 AM

#

were not really picking a value for x

#

were dealing with the statement A: "x=2"

#

so x isnt equal to anything really

#

A is either true or false

alpine sable May 16, 2021, 12:14 AM

#

So if A: x = 2, B: $x^2$ =4, then $A \to B$ is true, but $B \to A$ is false?

oak chasm May 16, 2021, 12:15 AM

#

No.

ocean sealBOT May 16, 2021, 12:15 AM

#

Chai T. Rex

remote heron May 16, 2021, 12:15 AM

#

the converse isnt always false

#

its just generally not true

ocean sealBOT May 16, 2021, 12:15 AM

#

Ranok Hui

oak chasm May 16, 2021, 12:15 AM

#

$A \to B$ doesn't disprove $B \to A$, it just doesn't prove it.

ocean sealBOT May 16, 2021, 12:15 AM

#

Chai T. Rex

alpine sable May 16, 2021, 12:15 AM

#

So most of the time the converse is not true?

remote heron May 16, 2021, 12:16 AM

#

yea

oak chasm May 16, 2021, 12:16 AM

#

No, that's not true.

remote heron May 16, 2021, 12:16 AM

#

well

#

yea most is a weird word

#

usually you dont assume the converse because its not true

oak chasm May 16, 2021, 12:16 AM

#

You can't rely on the converse being true or false.

remote heron May 16, 2021, 12:16 AM

#

like you define these implications as statements right

#

C: A->B

#

D: E->F

#

yadda

alpine sable May 16, 2021, 12:16 AM

#

Yes?

remote heron May 16, 2021, 12:17 AM

#

well wait thonk

#

lets do this

#

$C:= A \to B \ D:= B \to A$

ocean sealBOT May 16, 2021, 12:17 AM

#

jan Niku

remote heron May 16, 2021, 12:17 AM

#

so C is either true or false

#

D is either true or false

#

but $C\to D$ isnt given

ocean sealBOT May 16, 2021, 12:17 AM

#

jan Niku

remote heron May 16, 2021, 12:17 AM

#

idk its not important lol

#

assuming the converse is a really common mistake early on

#

you can trivially create examples where its true

#

tautological statements like if x is 2 then x is 2

#

if x is a multiple of 2 then x is even

#

stuff like that

oak chasm May 16, 2021, 12:19 AM

#

@alpine sable The mistake you're making is in thinking that the truth or falsehood of A -> B tells you something about B -> A. It doesn't. They can be the same. They can be different.

alpine sable May 16, 2021, 12:19 AM

#

So for example the example given by wikipedia, C is true, D is false so C -› D is false?

#

And sometimes the converse can be true?

#

And $\neg A \to \neg B$ is true because if A is false, B can't be true?

ocean sealBOT May 16, 2021, 12:21 AM

#

Ranok Hui

alpine sable May 16, 2021, 12:21 AM

#

I'm feel like I'm mixing everything up

#

Idk

remote heron May 16, 2021, 12:21 AM

#

$\neg A \to \neg B \leftrightarrow B \to A$

ocean sealBOT May 16, 2021, 12:21 AM

#

jan Niku

remote heron May 16, 2021, 12:21 AM

#

catThink

#

@alpine sable for real if youre curious pick up a prepositional logic bok

#

you can find good ones for free

#

or khan academy

#

do the whole thing of building truth tables and looking at all this stuff

#

its less complicated than it probably seems at first

oak chasm May 16, 2021, 12:23 AM

#

Also, a non-free option is Language, Proof and Logic, which is excellent. It comes with software to let you practice in a more intuitive manner.

alpine sable May 16, 2021, 12:28 AM

#

ocean seal **jan Niku**

$B \to A \leftrightarrow \neg A \to \neg B$

ocean sealBOT May 16, 2021, 12:28 AM

#

Ranok Hui

alpine sable May 16, 2021, 12:28 AM

#

?

#

Is this still true

#

Because the left right arrow means iff, the converse is also true.

remote heron May 16, 2021, 12:30 AM

#

the implication being true implies its contrapositive is true

#

and the converse is true since the contrapositive being true implies the implication is true

nova anvil May 16, 2021, 1:24 AM

#

nova anvil <@&286206848099549185> could someone confirm if this is true?

<@&286206848099549185> could someone verify if this is true?