#help-26

226100 messages · Page 236 of 227

wooden matrix
#

there's no vertical translation on the function

#

so the lowest you reach is purely b/c of the A value

keen kindle
#

We know that the minimal value of the function is -4, right?

#

And when x = 0 that the value of the function is -1

#

So the amplitude would be the value between these two

#

Is it (-4+(-1))/2?

#

So -5/2 🤔

wooden matrix
#

|y_min|=A

#

cause the lowest you reach is how much A makes the function stretch

keen kindle
#

When we write the absolute value of y_min, what does it mean?

wooden matrix
#

it means the absolute value of that number

#

🤨

keen kindle
#

No I mean like graphically

wooden matrix
#

nothing

knotty osprey
#

it’s the distance from that number to the x-axis

wooden matrix
#

the amplitude of a sinusoid is how far away the maximum/minimum values are from the axis of symmetry

wooden matrix
#

yes

#

A=4

knotty osprey
#

yes

keen kindle
#

So the amplitude is 4

#

What is the line of symmetry?

knotty osprey
#

yes

keen kindle
#

Or is that not important

wooden matrix
thorny flameBOT
wooden matrix
#

here c=0, so y=0 is the axis of symmetry

keen kindle
#

Interesting

knotty osprey
#

think, what is the maximum and minimum values of cos(x-v)?

keen kindle
#

So we've found A, now v?

wooden matrix
#

yes

keen kindle
#

4*cos(-v) = -1

#

cos(v) = -0.25

wooden matrix
#

yes.

keen kindle
#

v = ±104,477 + 360n…

wooden matrix
#

approximate, yes

keen kindle
#

My friend wrote ’-v = ±75,52… + 360n’

#

Hmm

wooden matrix
#

,w solve cos(x)=-1/4

thorny flameBOT
keen kindle
#

4*cos(180-v) = -1
cos(180-v) = -0.25
180-v = 104,477 + 360n
-v = −75,522… + 360n

#

Ah yes, same answer 😄

wooden matrix
#

Yeah

keen kindle
wooden matrix
#

Google

keen kindle
#

Like this ”axis of symmetry trigonometry”?

#

I only get stuff about trigonometric identities, you know anything @knotty osprey ?

wooden matrix
#

function transformations as a whole as well probably

knotty osprey
#

The axis of symmetry usually refers to graphs of polynomials, i think what your talking about is the sinusoidal axis (or the midline)

#

it’s the line that is perfectly in the middle of the maximum and minimum values of the sinusoid wave

#

so for your example, the maximum value is $4$ when $\cos(x-v)=1$ and $-4$ when $\cos(x-v)=-1$

thorny flameBOT
#

lgargaro

knotty osprey
#

so the midline would be the x-axis, the line y=0

knotty osprey
# thorny flame **Mosh**

the only time it would be different is if there was a constant being added/subtracted like here

topaz sinewBOT
#

@keen kindle Has your question been resolved?

keen kindle
#

If the vertical shift is 1, does that mean the axis of symmetry is at y = 1?

keen kindle
#

A should be -4

#

But it's essentially the same I think

#

For example, y = sin(x) + 2 has a midline at y = 2

#

I think that's the answer, the vertical shift is what determines the center line.

#

Thanks!

#

.close

topaz sinewBOT
#
Channel closed

Closed by @keen kindle

Use .reopen if this was a mistake.

#
Available help channel!

Send your question here to claim the channel.

Remember:
Ask your math question in a clear, concise manner.
Show your work, and if possible, explain where you are stuck.
After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

idle oracle
#

so this is really puzzling me at the moment; of all the questions so far that I've gotten through so far, none of them have asked me do find/write the equation out myself, given only a single point. Also no where in the lesson portion (writing the notes, showing how to use X formula for a given problem, etc.) has given me an example of one of these and now I'm at a lose as to how to go about doing this question.

solemn wigeon
#

well what does perpendicular to the x-axis mean?

#

first off

idle oracle
#

I'm probably wrong here, but it has a slope going through the x-axis and it has to pass through the given point

solemn wigeon
#

it does have to go through given point

#

and it does have to go through x-axis

#

but its more specific than that

#

here

#

parallel to y = perpendicular to x

#

so from here you should see that we need a vertical line that goes through that point

idle oracle
#

oh okay, yeah I had no clue what it was asking of me because like I said it never gave an example of one for me to later figure on my own.
So because it's asking for a perpendicular line, why is the quote, unquote answer the opposite of what it's asking for, exactly?

topaz sinewBOT
#

@idle oracle Has your question been resolved?

#
Channel closed

Closed by @idle oracle

Use .reopen if this was a mistake.

#
Available help channel!

Send your question here to claim the channel.

Remember:
Ask your math question in a clear, concise manner.
Show your work, and if possible, explain where you are stuck.
After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

broken steeple
topaz sinewBOT
broken steeple
#

Help?

solemn wigeon
#

find the slope

broken steeple
#

alr

solemn wigeon
#

then use either point to write an equation in point slope form

broken steeple
#

the slope is -3

#

how do I do the second part

solemn wigeon
#

okay so the point slope form of a line is:

#

$y - b = m(x-a)$

thorny flameBOT
#

M.E.G. Yottachad

solemn wigeon
#

where (a, b) is a point on the line

#

and m is the slope

broken steeple
#

how do i find the a,b

solemn wigeon
#

you already have it

#

any point on the line works

#

and it gives you two points

neon iron
#

(a, b) is a point on the line (which you already have 2 of)

broken steeple
#

I see

neon iron
#

gradient = change in y / change in x

#

so u could do

#

gradient aka slope

solemn wigeon
#

he already got slope

neon iron
#

diffrent name depending on where and when you were taught in the world

solemn wigeon
neon iron
#

miss scrolling down?

#

oh he already got it

#

i see

#

sorry

broken steeple
#

man i am confused

#

nvm

#

i got it

solemn wigeon
#

alright

#

if you have no more questions use .close to close channel

weak jay
#

.open

weak jay
#

pls help me

#

im a highschool math student

topaz sinewBOT
#

@broken steeple Has your question been resolved?

#
Channel closed

Closed by @broken steeple

Use .reopen if this was a mistake.

#
Available help channel!

Send your question here to claim the channel.

Remember:
Ask your math question in a clear, concise manner.
Show your work, and if possible, explain where you are stuck.
After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

pure frigate
#

Ay yo

topaz sinewBOT
pure frigate
#

My peeps that helped me for vectors

#

yall here?

static void
#

Just ask your question! :)

#

Someone will be able to help

pure frigate
#

ah oki oki

#

but is my peeps from before here tho?

#

21.364212231655

#

how do I find the ref and the theata?

maiden wave
#

Dude

pure frigate
#

AYY

#

😄

maiden wave
#

xD

pure frigate
#

yeh someone called me and I had to answer

#

MY MAN LETS GOO

maiden wave
#

xd

pure frigate
#

ndam your still here :DDDD

maiden wave
#

alr

#

Lets get this over with

pure frigate
#

yes please

maiden wave
#

You already found the x and y of the r vector

pure frigate
#

yee

maiden wave
#

You need the angle

pure frigate
#

360-21.364212231655?

maiden wave
#

where did 21 come from

pure frigate
#

Vr

maiden wave
#

uhm seems weird

#

Just sketch a triangle that has the x and y of the r vector

#

then use trigonometric

pure frigate
#

aight bet

maiden wave
#

sin cos tan whatever u want

#

So ?

pure frigate
#

sowwy I was cleaning my table

#

had bunch of ohm law

#

lol

maiden wave
#

Tan^-1(8/19)

maiden wave
pure frigate
#

other math course

maiden wave
#

thats electrical class

pure frigate
#

yee

#

alr so

#

you said draw

#

triangle

maiden wave
#

ye

#

Hurry up i gotta sleep

#

hop faster hop

#

xd

pure frigate
#

alr lol

#

sowwys

#

alr

maiden wave
#

u don’t even need to draw you can see the triangle in the picture

pure frigate
#

true

#

o/a

maiden wave
#

Yes

pure frigate
#

Tan= 8/19

maiden wave
#

Soh cah toa

#

Yes

pure frigate
#

tan-1 8/19

maiden wave
pure frigate
#

22.83365418

maiden wave
#

Idk if its right but it should

pure frigate
#

aight

maiden wave
#

Thats all ?

pure frigate
#

well

#

so we just found out the ref angle

#

yeh?

maiden wave
#

What is the other angle ?

pure frigate
#

it says determine theata=

maiden wave
#

what does that mean ?

pure frigate
#

this

maiden wave
#

no i can see it

#

But like

pure frigate
#

oh

maiden wave
#

What does theta mean

pure frigate
#

it says Determine the Theta ref angle from standart position

#

the circle with the uhh

maiden wave
#

thats what we did no ?

pure frigate
#

thing that cuts it

#

Theta ref=

#

theta=

#

that's the question

#

from standard posotion

maiden wave
#

Uhm

pure frigate
#

lemme reword for you

maiden wave
#

u did that in class

#

prob

pure frigate
#

Determine the ref angle and the angle in standard position

#

is the question

maiden wave
#

Ok

#

Do you know how to find the magnitude ?

pure frigate
#

uhh

#

naw

maiden wave
#

Do you know what is the magnitude?

pure frigate
#

hey ndam if you need to go then it's aight man

#

I can wait for another person yk

#

you need sleep

maiden wave
#

i dont know for the angles but the magnitude is the length of the arrow

#

so use pythagorean’s theorem

#

im sure you can solve these questions by your own just think well and apply basic math rules and you will 100% find the answers

#

I believe in u

#

U got this

pure frigate
#

aight thanks again

#

sleep well

maiden wave
#

thx have fun solving math stuff

pure frigate
#

.close

topaz sinewBOT
#
Channel closed

Closed by @pure frigate

Use .reopen if this was a mistake.

#
Available help channel!

Send your question here to claim the channel.

Remember:
Ask your math question in a clear, concise manner.
Show your work, and if possible, explain where you are stuck.
After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

hasty copper
#

question: let a,b,c be positive integers such that bc/(b+c), ca/(c+a), ab/(a+b) are all integers, prove that gcd(a,b,c)>1

hasty copper
#

i've assumed the gcd to be 1 and tried multiplying/adding the 3 terms given and i don't think i've found anything useful

mortal thunder
#

Do you want a hint?

hasty copper
#

sure

#

thank you :)

mortal thunder
#

given (a + b) divides ab, try pressing conditions on a, b for which $\frac{ab}{a+b}$ can be an integer.

thorny flameBOT
hasty copper
#

a+b is obviously bigger than either so it has to pull at least one prime factor from either number

#

is there anything else i should've gotten from that condition?

mortal thunder
#

so gcd(a, a + b) or gcd(b, a + b) > 1?

hasty copper
#

i see

mortal thunder
mortal thunder
hasty copper
#

so doing that through all 3 terms should give us the result

#

thank you!

#

.close

topaz sinewBOT
#
Channel closed

Closed by @hasty copper

Use .reopen if this was a mistake.

#
Available help channel!

Send your question here to claim the channel.

Remember:
Ask your math question in a clear, concise manner.
Show your work, and if possible, explain where you are stuck.
After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

paper umbra
topaz sinewBOT
paper umbra
#

It's C, correct?

#

100% = 1
50% = 0.5

#

1/0.5=2

#

2=200%

#

Just need to ask if i did any mistakes

#

Or am overlooking something

polar hemlock
#

i think that's correct @paper umbra

static void
#

Good job!

paper umbra
#

.close

topaz sinewBOT
#
Channel closed

Closed by @paper umbra

Use .reopen if this was a mistake.

#
Available help channel!

Send your question here to claim the channel.

Remember:
Ask your math question in a clear, concise manner.
Show your work, and if possible, explain where you are stuck.
After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

analog grove
#

Im currently looking over a problem sheet I have been given, and I made the mistake of using an estimate for the coin toss, rather than the probability equation given in the second image (from solution sheet). Could somebody explain why the probability is:

topaz sinewBOT
#

@analog grove Has your question been resolved?

analog grove
#

I've formed a probability mass function, but I dont understand how to form equation 14

frozen perch
#

you have the likelihood function i assume?

analog grove
#

Yeah, that part is ok, just struggling with understanding how to form this equation from the pmf

#
f(x) = { p, x=1
         1-p, x=0

frozen perch
#

and X_i is...?

analog grove
#

A random variable

frozen perch
#

i know it's a random variable

#

what does it represent?

analog grove
#

Im assuming at a coin toss i, Xi is the observation

frozen perch
#

right okay

#

in this case, X_i will be either 1 or 0

#

say for 1 it's heads and for 0 it's tails, yeah?

analog grove
#

ye

frozen perch
#

so $Pr(X_i = 1; p) = p$

thorny flameBOT
#

Camilleone

frozen perch
#

and $Pr(X_i = 0; p) = 1-p$

thorny flameBOT
#

Camilleone

frozen perch
#

this is precisely your pmf but written in one line because $X_i$ only takes 0 and 1 values

thorny flameBOT
#

Camilleone

analog grove
#

I follow

frozen perch
#

yay great

analog grove
#

The thing thats not clicking is why they are multiplied

frozen perch
#

well, you could really do anything as long as "it is p when X_i = 1 and 1-p when X_i = 0"

#

the simplest way is to use the fact that p^0 = 1 and (1-p)^0 = 1

analog grove
#

Oh I get it

#

Yeah

#

So, the $p^{X_i} = 1$ when $X_i=0$, and $(1-p)^{1-X_i} = (1-p)$

thorny flameBOT
frozen perch
#

yep

analog grove
#

Thanks so much

#

Brain wasn't computing that

#

Lmao

#

Have a nice day/night

frozen perch
#

🙂

analog grove
#

.close

topaz sinewBOT
#
Channel closed

Closed by @analog grove

Use .reopen if this was a mistake.

#
Available help channel!

Send your question here to claim the channel.

Remember:
Ask your math question in a clear, concise manner.
Show your work, and if possible, explain where you are stuck.
After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

carmine prism
#

I am trying to derive the second equation from the first equation. But I do not know how to proceed, could you please help me?

topaz sinewBOT
#

@carmine prism Has your question been resolved?

frozen perch
#

hint: it's an addition by zero trick. To the numerator of the first term, add $rB_0 - rB_0$. To the numerator of the second term, add $rB_1 - rB_1$. So on and so forth

thorny flameBOT
#

Camilleone

carmine prism
#

@frozen perch Thank you very much! 😊

#

.close

topaz sinewBOT
#
Channel closed

Closed by @carmine prism

Use .reopen if this was a mistake.

#
Available help channel!

Send your question here to claim the channel.

Remember:
Ask your math question in a clear, concise manner.
Show your work, and if possible, explain where you are stuck.
After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

topaz sinewBOT
rigid whale
#

u can divide the similar radicals and get 18 alone right

waxen flame
#

$\frac{18\sqrt{2}}{\sqrt{2}} = 18$

thorny flameBOT
#

Saccharine

rigid whale
#

mhm

#

ok thx

topaz sinewBOT
#
Channel closed

Closed due to the original message being deleted

#
Available help channel!

Send your question here to claim the channel.

Remember:
Ask your math question in a clear, concise manner.
Show your work, and if possible, explain where you are stuck.
After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

normal marsh
#

Show that if f is an odd function such that 0 is in the domain of f, then f(0) = 0.

normal marsh
#

I know how it came to be 0 but how do I write it down formally?

hollow hedge
#

you can start right with the definition of odd functions

normal marsh
#

so I should just say that they are symmetric wrt origin?

hollow hedge
#

well not quite

#

try to use the property, f(-x)=-f(x)

normal marsh
#

yes

#

zero doesn't have symmetric values about the origin

#

is that it?

hollow hedge
#

no you dont have too go too deep in the symmetry of the graph or how it looks

#

the property f(-x)=-f(x) is always true for all x in the domain

normal marsh
#

ah I see

hollow hedge
#

try to plug 0 in

#

and see what you can get from it

normal marsh
#

but we don't have a concrete function though

hollow hedge
#

we dont need to

#

here, if we plug 0 into the equation, we get f(-0)=-f(0) dont we?

#

and what is -0? it is still 0

#

so basically your equation now becomes f(0)=-f(0)

#

you now essentially have an equation in terms of f(0) which you can solve for

normal marsh
#

oh yes I see it now

#

thanks :')

topaz sinewBOT
#

@normal marsh Has your question been resolved?

#
Channel closed

Closed by @normal marsh

Use .reopen if this was a mistake.

#
Available help channel!

Send your question here to claim the channel.

Remember:
Ask your math question in a clear, concise manner.
Show your work, and if possible, explain where you are stuck.
After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

sturdy holly
#

How do I do this

topaz sinewBOT
sturdy holly
#

using index law

junior widget
#

You have a common factor that can be cancelled

abstract wadi
#

Do you know $\frac{a^m}{a^n}=a^{m-n}$

thorny flameBOT
#

Sakata Yaksha

sturdy holly
#

But what do I do with the ab

restive inlet
#

wdym

sturdy holly
#

the one on the bottom is ab to the power of 2

restive inlet
#

that's a bit vague and may be misinterpreted

sturdy holly
#

Wdym

restive inlet
#

the one on the bottom is ab to the power of 2
will most likely be interpreted as (ab)^2 which isn't what you have in the denomintor

#

if you wanted to express it in words, the denominator would be a times b squared

#

anyway consider properties of multiplication you could express your fraction as
$$\frac{a^3}{a} \cdot \frac{b^2}{b^2}$$

thorny flameBOT
#

ℝamonov

sturdy holly
#

idk

#

It's 2 am in the morning and I need to get this done idc as long as at least 50% of it is right

topaz sinewBOT
#

@sturdy holly Has your question been resolved?

#
Channel closed

Closed by @sturdy holly

Use .reopen if this was a mistake.

#
Available help channel!

Send your question here to claim the channel.

Remember:
Ask your math question in a clear, concise manner.
Show your work, and if possible, explain where you are stuck.
After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

fresh maple
#

I've been dealing with partial differentiation but I'm stuck on this question and don't even really know where to begin to solve it

fresh maple
#

jeez terrible quality image though

acoustic tangle
#

Rewrite that as $ee^xe^y$

thorny flameBOT
acoustic tangle
#

Maybe

#

Or just use chainrule

#

Must be easier

vital relic
#

You differentiate partial by treating the other variable as constant...

#

Surely you can differentiate wrt $f(x) = e^{x+c}$ normally?

thorny flameBOT
#

Shuri2060

fresh maple
#

wait so aren't they the same? ∂x and ∂y would both be e^x+y+1?

acoustic tangle
#

Wdym

fresh maple
#

i was looking at like

#

well the way you rewrote it

acoustic tangle
#

Yeah forget that that's not necessary

fresh maple
#

ok sorry i was doing $e e^y \frac{∂}{∂x} (e^x)

#

aw didnt work

#

i was doing

#

which im pretty sure is just

#

and then i dont think it goes any farther then this?

#

i think this is the same result for ∂y as well? i dont see why it would be any different then ∂x

#

.close

topaz sinewBOT
#
Channel closed

Closed by @fresh maple

Use .reopen if this was a mistake.

topaz sinewBOT
#
Available help channel!

Send your question here to claim the channel.

Remember:
Ask your math question in a clear, concise manner.
Show your work, and if possible, explain where you are stuck.
After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

remote grotto
#

how does one simplify this?

topaz sinewBOT
south island
#

use daddy pythagoras

#

cos^2 + sin^2 = 1

topaz sinewBOT
#

@remote grotto Has your question been resolved?

topaz sinewBOT
#
Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

#
Available help channel!

Send your question here to claim the channel.

Remember:
Ask your math question in a clear, concise manner.
Show your work, and if possible, explain where you are stuck.
After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

tall halo
#

Okay so I'm a bit confused about this problem and on how to approach it.

#

#20

tall halo
#

(believe this is non Euclidean geometry)

#

It's okay lol

#

Sorry, I wasn't specific

polar hemlock
#

👀

tall halo
#

I don't think I'm solving for angle measures

#

I think somehow, I gotta use Exterior Angle Inequality Theorem

polar hemlock
tall halo
#

👀

mortal thunder
#

🙈

tall halo
#

@mortal thunder sorry for the ping, but do you know a little about this problem?

mortal thunder
#

I'm just tryna read 21 for context blobsweat

tall halo
#

Ah

#

Well I could say that in this chapter, it introduces Exterior Angle Inequality Theorem, the Saccheri-Legendre Theorem,

mortal thunder
#

having knowledge only about Euclidean Geometry, the first thing that strikes every time I look at the figure is that
AC = CC' => CAC' = CC'A and by exterior angle property: 2y = x 🤦‍♂️ but I doubt that's anything nearly close to doing this one

tall halo
#

That would make sense

#

Hmmm

#

I've been having trouble with this problem and other ones

#

Took a break and studied abstract stuff for an exam ;(

#

I might just ask my professor about the problems I'm stuck on

#

.close

topaz sinewBOT
#
Channel closed

Closed by @tall halo

Use .reopen if this was a mistake.

#
Available help channel!

Send your question here to claim the channel.

Remember:
Ask your math question in a clear, concise manner.
Show your work, and if possible, explain where you are stuck.
After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

naive turtle
#

hi! can you help me finish the system of equations at the end?

naive turtle
#

or point me in a general direction - the numbers i'm getting don't seem right

topaz sinewBOT
#

@naive turtle Has your question been resolved?

topaz sinewBOT
#
Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

#
Available help channel!

Send your question here to claim the channel.

Remember:
Ask your math question in a clear, concise manner.
Show your work, and if possible, explain where you are stuck.
After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

whole sun
#

A pole leans away from the sun at an angle of 7° to the vertical, as shown in Figure 27. When the elevation of the sun is 55°, the pole casts a shadow 42 feet long on the level ground. How long is the pole? Round the answer to the nearest tenth. help

sweet shard
#

Figure 27?

whole sun
#

oops mb

narrow torrent
#

right off the bat you should be able to find angle BCA

#

and then you can just use law of sines

#

pretty simple!

#

@whole sun

whole sun
#

would that be sin55/7, sinB/b, sonC,42

whole sun
narrow torrent
#

not quite

#

let's let that point at the top of the vertical be point D

#

DBC = 7

#

so ABC = 90 - 7 = 83

#

then you can use law of sines

#

once you have found angle BCA

whole sun
#

for this because i got it wrong when i tried doing it

#

or is it just the sin55/a

topaz sinewBOT
#

@whole sun Has your question been resolved?

whole sun
#

.close

topaz sinewBOT
#
Channel closed

Closed by @whole sun

Use .reopen if this was a mistake.

#
Available help channel!

Send your question here to claim the channel.

Remember:
Ask your math question in a clear, concise manner.
Show your work, and if possible, explain where you are stuck.
After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

small rampart
#

An inverted conical container of height 3m and radius 1m is full of water, which is evaporating at a rate proportional to the water surface area exposed to air, i.e. $\frac{dV}{dt}=kS.$

(A) Show that the height of water in the container is h m, the bolume V and the water surface area S are $\frac{\pi h^3}{27}$ and $\frac{\pi h^2}{9}$ respectively (which i got)

(B) If it takes one hour to reduce the height of the water by half, find k and the time taken for the water to fully evaporate.

thorny flameBOT
#

Hamburglers

#

Hamburglers

#

Hamburglers

#

Hamburglers

small rampart
#

<@&286206848099549185>

topaz sinewBOT
#

@small rampart Has your question been resolved?

topaz sinewBOT
#

@small rampart Has your question been resolved?

topaz sinewBOT
#

@small rampart Has your question been resolved?

elder leaf
#

Maybe first try to make sense of the statements the exercise gives you. For example, if you have an inverted conical shape as the volume, you may draw something in order to represent the system you're working with

#

We are talking about the height that is at half of the conical shape

#

Proportionality seems to be the reasoning

topaz sinewBOT
#

@small rampart Has your question been resolved?

mortal thunder
#

@small rampartHammmmmmm burgler 👀

topaz sinewBOT
#
Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

#
Available help channel!

Send your question here to claim the channel.

Remember:
Ask your math question in a clear, concise manner.
Show your work, and if possible, explain where you are stuck.
After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

deep solar
#

How does one do this proof

topaz sinewBOT
#

@deep solar Has your question been resolved?

topaz sinewBOT
#
Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

#
Available help channel!

Send your question here to claim the channel.

Remember:
Ask your math question in a clear, concise manner.
Show your work, and if possible, explain where you are stuck.
After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

sturdy needle
#

hello

topaz sinewBOT
sturdy needle
#

So I have this question

#

That I do not know how to solve

#

it would be appreciated if you help me out

topaz sinewBOT
#

@sturdy needle Has your question been resolved?

topaz sinewBOT
#
Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

topaz sinewBOT
#
Available help channel!

Send your question here to claim the channel.

Remember:
Ask your math question in a clear, concise manner.
Show your work, and if possible, explain where you are stuck.
After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

real sierra
#

can someone see if i got 6) right

topaz sinewBOT
real sierra
sweet shard
#

no

#

$\sqrt{(a + b^2)} \neq a + b$

thorny flameBOT
#

riemann

sweet shard
#

you have to use the quadratic formula

topaz sinewBOT
#

@real sierra Has your question been resolved?

topaz sinewBOT
#
Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

topaz sinewBOT
#
Available help channel!

Send your question here to claim the channel.

Remember:
Ask your math question in a clear, concise manner.
Show your work, and if possible, explain where you are stuck.
After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

vast radish
#

i need help

topaz sinewBOT
vast radish
#

please

neon iron
#

what do you need help with

vast radish
#

The question is, find the perimeter of an isoscleles right triangle with a 6-cm hypotenuse

#

and i have to use pythagorean theorum

#

what does an isosceles right triangel look like?

neon iron
#

here i'll show

vast radish
#

ok

neon iron
vast radish
#

oh

#

where would i go from there

neon iron
#

set up the pythagorean theorem with what you have currently

vast radish
#

ok

#

X squared + X squared = 36?

neon iron
#

yes

vast radish
#

how do i combine x squareds

neon iron
#

you don't have to, you already know that the two sides that you need to find are the same

vast radish
#

og

#

oh

#

but what is the perimeter

neon iron
#

actually

#

hold on

vast radish
#

ok

neon iron
#

it would be 2a^2=36

vast radish
#

oh

#

so then i do x^2 = 18

#

and then x = √9 * 2

#

and then x = 3√2?

neon iron
#

yep

vast radish
#

yay

#

i have one more

neon iron
#

nice job

#

sure

vast radish
#

thx

#

i will take picture

neon iron
#

15?

vast radish
#

number 16

neon iron
#

oh right

vast radish
#

i know the hypotenuse of the big one is 10

#

but i dont know what else i am supposed to do

neon iron
#

alright let me see

#

sorry i'm doing my math hw and this at the same time

vast radish
#

oh

neon iron
#

give me a minute

vast radish
#

sorry to bug u

neon iron
#

no it's all good

vast radish
#

ok

neon iron
#

this ones confusing me lmao

#

i might just be overthinking it

vast radish
#

oh

#

i think we gotta do pythagyrean theorum

neon iron
#

yeah but we gotta find the length of the line AD or DB for that

vast radish
#

yeah

#

is there like some sort of median theorum or something

neon iron
#

never heard of it

vast radish
#

awww

#

i think im overthinking it too

#

i got it

#

2√6

#

because there is a similar triangle theoru,m

neon iron
#

oh 💀

#

i'm glad and disappointed at the same time

vast radish
#

if you rotate triangle CDB 90 degrees left at point d

#

i guess u were overthinking it

#

i overthink things too

neon iron
#

yeah

#

well nice

vast radish
#

i think im good for now

#

right now i am studying for quiz

#

and finding problems

#

i will tell you if i find hard one

neon iron
#

sounds good

#

what grade are you in if you don't mind me asking

vast radish
#

7th, but i go to high school for 10th grade honors geometry

neon iron
#

damn you must be smart

vast radish
#

thx

#

r u 10th grade too

neon iron
#

i'm in 11th

vast radish
#

oh

#

cool

neon iron
#

i skipped geometry so i'm not very good in that department

vast radish
#

it is ok

neon iron
#

forgot most of it

#

yeah it is what it is

vast radish
#

i skipped 6th, 7th and 8th

neon iron
#

lmaoo yeah

vast radish
#

so im not that good in pre algebra

#

lol

neon iron
#

algebra is way easier than geometry for me

vast radish
#

ooh i found a difficult

neon iron
#

cant be good at everything

vast radish
#

If the perimeter of a rhombus is 8√5 and one diagonal has a length of 4√2 find the length of the other diangonal

neon iron
#

i'm not even gonna try to help you with that 💀

vast radish
#

oh

neon iron
#

if i learnt it before, i completely forgot

#

sorrry man

vast radish
#

did you forgor that stuff💀

neon iron
#

you can post it again and im sure others can help

#

yep

vast radish
#

ok

neon iron
#

pre calc is hell

vast radish
#

is it scary

neon iron
#

yes

#

very

vast radish
#

oh

#

many spooky🎃

neon iron
#

it's like geometry algebra and trigonometry all together

vast radish
#

oh no

#

i do not want that

neon iron
#

welll it seems like you're gonna have to deal with it

#

good luck mate

vast radish
#

thx

#

it's weird going to high school when your in 7th grade

neon iron
#

yeah definitely

vast radish
#

because i get stared at, cuz im small for a high schooler

#

im small for a 7th grader

neon iron
#

yeah

#

oh

#

tough

vast radish
#

eh i dont mind

#

ok anyway

#

i will tell u when i have problem that is hard

#

ok

neon iron
#

I probably can't help much but of course

vast radish
#

ok

#

but u helped some

#

to me u are pretty heplful

neon iron
#

thanks lol

vast radish
#

i have one

#

17

#

it is super hard

#

is u still there

empty sail
vast radish
#

but how to apply it on 1

neon iron
#

sorry can't help i'm currently walking home

vast radish
#

oh

#

bye bye

neon iron
#

good luck

empty sail
#

Do you know Pythagorean theorem?

vast radish
#

yes

#

a√2 + b√2 =c√2

empty sail
#

No

vast radish
#

no i mean squared

empty sail
#

a^2 + b^2 = c^2

vast radish
#

yes

#

that is it

empty sail
#

Apply that, starting with the smallest triangle

vast radish
#

so 1 + 1 = c^2?

#

2 = c^2

empty sail
#

And so c is?

vast radish
#

√2

empty sail
#

Now do it again with the next triangle

vast radish
#

!?!?!

#

how to multiply that

empty sail
#

That’s all there is

vast radish
#

1 x √2

neon iron
#

you have to keep repeating until the last one

vast radish
#

yes but how to do 1 times √2

empty sail
#

It’s still Pythagorean theorem

neon iron
#

you have to use the theorem

empty sail
#

There’s no multiplying

vast radish
#

oh

neon iron
#

yeah i had to do corrections

vast radish
#

1 + √2

vast radish
neon iron
#

currently in a car right now actually

vast radish
#

you drive the car?

neon iron
vast radish
#

oh

neon iron
vast radish
#

tell your friend i said meow

neon iron
#

sure

empty sail
#

That sqrt(2) is the hypotenuse of the first triangle but it’s also the leg of the next one

vast radish
#

yes

empty sail
#

That’s the pattern

empty sail
#

That’s not applying Pythagorean theorem correctly

vast radish
#

is it √3?

empty sail
#

Yes

#

Now continue

vast radish
#

ok

#

it is 3 this time?

empty sail
#

No

#

The sides are sqrt(3) and 1

vast radish
#

yes √3 times 3 is √9?

#

ah yes 4

#

it is 4

empty sail
#

And then?

vast radish
#

16 + 1 = c^2

#

√17

#

x = √36

#

x = 3√4

empty sail
#

No

#

The side is 4 and 1

#

Wait

#

It's sqrt(4)

vast radish
#

why

empty sail
vast radish
#

im onto the last triangle tjough

empty sail
#

The side was sqrt(3) and 1

#

That hypotenuse isn't 4

#

It's sqrt(4)

#

If you applied pythagorean theorem correctly

vast radish
#

oh yeah

#

i am do different porblem now

empty sail
#

Did you get the other question?

vast radish
#

find the perimeter of a rectangle whose dagonal is 17 and base is 15

#

yes i did

#

it is being √5?

#

for the last one

empty sail
#

Yes

vast radish
#

ok

empty sail
vast radish
#

ok

#

hmmm what numbers go into 514

empty sail
#

1 and 514

vast radish
#

thats it?

#

oh wait

#

i did it wrong

#

diagonal is high pot in use

empty sail
#

You asked what numbers go into 514 and I gave you some

vast radish
#

other one is leg

#

does 2 go in it too

#

is 2 a perfect square

empty sail
#

2 is not a perfect square

vast radish
#

ok

#

so 225 + b^2 = 289?

#

b^2 = 64

#

b = 8

#

right?

empty sail
#

If you applied the formula right, sure

vast radish
#

yaaaaaaay

empty sail
#

Still not the end of the problem though

vast radish
#

oh yeah

#

8 + 17 + 15

#

is

#

40!

#

yay

#

😁

empty sail
#

No

vast radish
#

oh

#

46!

vast radish
#

it is defently 46?

#

i think

#

yes

empty sail
#

You have the sides

vast radish
#

yeah

#

and i add them

empty sail
#

Just add them

vast radish
#

15 + 15 + 8 + 8

#

😁

#

is that it?

#

oh no

#

he not respond 😮

#

oh wait

empty sail
#

Did you use a calculator correctly?

vast radish
#

what did i do

#

8 + 8 is 16?

#

15 + 15 is 30

#

30 + 16 is 46

#

AM I DOING SOMETHING SuPER DUMB AGAIN

empty sail
#

So then the question is, why are you second guessing yourself if you did everything properly?

vast radish
#

um

#

i thought that um

#

yeah

#

um

#

yeah

#

.

#

ok

#

next problem

#

find the peremiter of a rhombus with diagonals 12 and 16

empty sail
#

That one, don't know

vast radish
#

ah yes

#

oh no

#

he arent respond

#

he must be DEAD

#

NOOOoooooooo

#

ok

#

so i have new problem

#

find the length of the diagonal of a square with perimeter 12 cm

neon iron
#

im back

#

im not home but i think i can still help

vast radish
#

ok

neon iron
vast radish
#

hm

neon iron
#

obvious?

vast radish
#

i know this one

#

3 squar 2

#

are you dldh202

neon iron
#

no

#

thats a whole different person

vast radish
#

ah yes

#

did your friend say meow back

neon iron
#

unfortunately no

vast radish
#

did he say, what a weird child

neon iron
#

.

#

she didn't say anything

#

now get back to work

vast radish
#

Youre a SHE?!?!

#

wow

#

i didnt know

neon iron
#

no i'm a he

vast radish
#

Ah yes

#

ok

neon iron
#

my friend is a she

vast radish
#

so

neon iron
#

yeah

vast radish
#

ah

neon iron
#

we're studying for a test next week

#

lmao

vast radish
#

PM is alt of equilateral triangle PKO. if PK = 4. find PMblobsweat

#

I can help you studying

neon iron
#

i highly doubt it

vast radish
#

ok

#

what is one problem

neon iron
#

uh

vast radish
#

what is a tangent

#

is it like a tangerine

neon iron
#

a trig function

#

dude lmfao

vast radish
#

yum

#

u make me hungry

#

ok

#

back to my work

neon iron
#

yes

neon iron
#

draw it out first

vast radish
#

the base is OK, with M in the midpoint

#

and alt is P

neon iron
#

hmm, send a picture

vast radish
#

um

#

there is not one

neon iron
#

d r a w i t

vast radish
#

my math book didnt give one

#

oh

neon iron
#

if you're stuck always draw one

#

helps you process what you have and what you can do

vast radish
#

ok

#

i am paste it now

neon iron
#

paste it?

vast radish
#

i kinda put it over a game

#

that screenshot is old

#

like 6 month

neon iron
#

whatever works for you haha

#

wait you did this before?

vast radish
#

no

#

the game in the back

neon iron
#

oh

vast radish
#

oh no the screenshot shows my name 😦

#

dont look

#

at the top left corner

#

top right i mean

neon iron
#

yeah of course

#

i will look

#

i mean not

vast radish
#

ok

neon iron
#

ok so

vast radish
#

i should have been more careful 😮

neon iron
#

equilateral triangles sides' measurements are the same right

vast radish
#

yes

neon iron
#

here ill sketch it

vast radish
#

ok

neon iron
#

do you think this is correct

vast radish
#

yes

#

om is 4

#

om is 2

#

i mean

neon iron
#

yes

#

and there you can use the theorem

vast radish
#

you get paid in videos

neon iron
#

i appreciate it

vast radish
neon iron
#

that must hurt

#

how many problems did you have in the homework?

vast radish
#

i am studying

neon iron
#

ah ok

vast radish
#

the best one of all

neon iron
#

what am i watching

vast radish
#

idk

#

did u watch

#

isnt it epic

#

but u gotta turn it on full volume

#

oh wait

#

i gotta go

#

i am finished for to day

neon iron
#

niceee

vast radish
#

i have study for 2 hour

#

i hope i get good grade

neon iron
#

same

vast radish
#

is the person in ur proficle pic u

#

the person in my profile pic is me

neon iron
#

no haha

vast radish
#

the frog dude

neon iron
#

reasonable

vast radish
#

i am frog dude

neon iron
#

i see

vast radish
#

and i wear hat

#

and as an ultimate reward for helping me...

#

do you have a chromebook

#

for school and stuff

#

because i know how to play fortnite, and rocket league, and basically any console game on it

#

make a geforce now account

#

and connect your epic games account

#

and then you select a game

#

and thenplay

#

ok anyway good bye

neon iron
#

i'm good lol, good luck with your stuff though

vast radish
#

ok bye bye

neon iron
#

do .close if you don't have more questions

vast radish
#

ok

#

also what is your tag

#

friend me

neon iron
#

sure

vast radish
#

i am t0enail 6442

#

😄

neon iron
#

added

vast radish
#

ok

#

.close

topaz sinewBOT
#
Channel closed

Closed by @vast radish

Use .reopen if this was a mistake.

#
Available help channel!

Send your question here to claim the channel.

Remember:
Ask your math question in a clear, concise manner.
Show your work, and if possible, explain where you are stuck.
After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

topaz sinewBOT
#
Channel closed

Closed due to the original message being deleted

#
Available help channel!

Send your question here to claim the channel.

Remember:
Ask your math question in a clear, concise manner.
Show your work, and if possible, explain where you are stuck.
After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

real sierra
#

can someone help me with 6

topaz sinewBOT
topaz sinewBOT
#

@real sierra Has your question been resolved?

real sierra
#

.close

topaz sinewBOT
#
Channel closed

Closed by @real sierra

Use .reopen if this was a mistake.

#
Available help channel!

Send your question here to claim the channel.

Remember:
Ask your math question in a clear, concise manner.
Show your work, and if possible, explain where you are stuck.
After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

remote grotto
#

how is this incorrect?

topaz sinewBOT
solemn wigeon
#

look at the square root

#

have u made the problem simpler?

#

actually i think you just forgot that your sub was x = 3sin(theta)

topaz sinewBOT
#

@remote grotto Has your question been resolved?

topaz sinewBOT
#
Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

#
Available help channel!

Send your question here to claim the channel.

Remember:
Ask your math question in a clear, concise manner.
Show your work, and if possible, explain where you are stuck.
After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

uneven talon
#

The one with the blue arrow is right and the one with the red arrow is wrong. Ive tried 45 and its still wrong haha

topaz sinewBOT
#

@uneven talon Has your question been resolved?

uneven talon
#

Ive tried again -63 and 45 just to be sure and its wrong

uneven talon
#

😭

#

someone help plz

topaz sinewBOT
#

@uneven talon Has your question been resolved?

sweet shard
topaz sinewBOT
#

@uneven talon Has your question been resolved?

topaz sinewBOT
#
Channel closed

Closed due to timeout

Use .reopen if this was a mistake.

#
Available help channel!

Send your question here to claim the channel.

Remember:
Ask your math question in a clear, concise manner.
Show your work, and if possible, explain where you are stuck.
After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

mellow sequoia
topaz sinewBOT
mellow sequoia
#

woo alrighty

#

I just wanna make sure I have the right setup for this

#

one minute while I actually set it up lol

neon iron
#

2 = 4
Devide by 2
1 = 2
Raymeen hypothesis solved

mellow sequoia
#

wha

#

oh sorry

#

I need to find the volume in the enclosed region rotated about x=1

mellow sequoia
neon iron
#

No idea, out of my leauge, lol. Good luck though.

mellow sequoia
#

lol thanks

#

hopefully a calc1 person can help

#

is this the answer (once I actually solve the integral)?

#

.close

topaz sinewBOT
#
Channel closed

Closed by @mellow sequoia

Use .reopen if this was a mistake.

#
Available help channel!

Send your question here to claim the channel.

Remember:
Ask your math question in a clear, concise manner.
Show your work, and if possible, explain where you are stuck.
After 15 minutes, feel free to ping <@&286206848099549185>.
• Type the command .close to free the channel when you're done.
• Be polite and have a nice day!

Read #❓how-to-get-help for further information on how to ask a good question, and about conduct in the question channels.

delicate pine
topaz sinewBOT
delicate pine
#

Can someone help solve c

polar hemlock
thorny flameBOT
polar hemlock
#

Ah.

#

so you know the sum and product of roots

#

@delicate pine

#

?

delicate pine
#

U don't ;-;

#

I *

#

Wait sum should be 3 and product is -b

polar hemlock
#

wait

#

so how did you do (b)