#Pre-cal 2

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round talon
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help needed

flat prawnBOT
#
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round talon
#

so

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@turbid ridge

turbid ridge
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ok

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note that

round talon
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i got the first one

turbid ridge
#

one revolution is just the same as travelling the circumference

round talon
#

it's 350 in/min

turbid ridge
round talon
#

idk the second part

valid tendon
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how were tere messages already

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i was reading the problem smh

round talon
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a is 18

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c is 200

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b is 4 and the gear is 7

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i think if im doing that correctly

valid tendon
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are you given distance from b to c really confused smh

round talon
#

no

turbid ridge
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wait

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u know the speed in in\min

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and u wanna find it in m\h right

round talon
#

yes

turbid ridge
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do u know how many foot 1 mile is?

round talon
#

5280

turbid ridge
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do u know how many inches 1 foot is

round talon
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in a mile

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nope

turbid ridge
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what

round talon
#

12 inches?

turbid ridge
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1 foot = 12 inches

round talon
#

oh ok

turbid ridge
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so

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u can write

valid tendon
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we know the speed in in/min already??

round talon
#

i think so

valid tendon
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wha

round talon
#

i jus did 7 x 200/4

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to find the linear speed

turbid ridge
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$1 \text{ mph} = \frac{5280 \times 12 \text{inches}}{\text{hour}}$

sinful pineBOT
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wolfqz

round talon
#

to find our mph?

turbid ridge
#

this is how u convert

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make the denominator in minutes too so u get it in in/min

round talon
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idk man

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im jus dumb

turbid ridge
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do u get how the numerator here is 1 mile

round talon
#

yea

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so do we put for our denominater 200?

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cause that's what we are given

turbid ridge
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Um no

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whats 1 hour in minutes

round talon
#

60

turbid ridge
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$1 \text{ mph} = \frac{5280 \times 12 \text{ inches}}{60\text{ min}}$

sinful pineBOT
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wolfqz

round talon
#

what next

turbid ridge
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just move everything around to get

round talon
#

wdym?

turbid ridge
sinful pineBOT
#

wolfqz

turbid ridge
#

now find your speed

round talon
#

200 is our revolution

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do add that ?

turbid ridge
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no

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you know the speed in in\min

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solve for the speed in mph

turbid ridge
round talon
#

0.1363636364

turbid ridge
#

wait what

round talon
#

or is it 1056

turbid ridge
#

what speed did u get in in\min

round talon
#

350

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i feel like im sped

turbid ridge
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wym

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if $1 \text{ in/min} = \frac{60}{5280 \times 12} \text{mph}$ then

$350 \text{ in/min} = \frac{60}{5280 \times 12} \times 350 \text{mph}$

round talon
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nvm

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thats for our in/min

sinful pineBOT
#

wolfqz

round talon
#

im tryna find mph

turbid ridge
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youre supposed to solve the RHS for mph

round talon
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what is the anwser than?

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for the linear speed

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like im so confused

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hello?

turbid ridge
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hello

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lets restart

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doing

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the question

round talon
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i didn't have enough time to study

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i can't restart

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i only have 7 min to finish

turbid ridge
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one revolution means youre travelling the length of the circumference

round talon
#

i've done every thing

turbid ridge
round talon
#

no hmw

turbid ridge
round talon
#

ok

round talon
#

this is a college class

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my life is on this

turbid ridge
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the circumference is $2\pi r$

sinful pineBOT
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wolfqz

round talon
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ok

turbid ridge
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but r is 9

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so it just becomes $9\pi$

sinful pineBOT
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wolfqz

turbid ridge
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now, 200rpm means travelling $9\pi$ 200 times per minute, so, it means $1800\pi$ inch per minute

sinful pineBOT
#

wolfqz

round talon
#

what about the mph is that 350

turbid ridge
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which is approx 5,657.14

round talon
#

or am i incorrect

turbid ridge
round talon
#

or are we doing the first part

valid tendon
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isnt the rpm the pedal thing or the c part

turbid ridge
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@valid tendon can u confirm

round talon
#

yea

valid tendon
round talon
#

3 min

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btw

valid tendon
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if youre biking and rotate the pedals once

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youre rotating the chain about the c circle...?

round talon
#

nvm spoon feed me

valid tendon
#

this still doesnt use the last gear tho i still dont get it

round talon
#

tell me the explanation later

valid tendon
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which is why ive stayed silent this whole thread

round talon
#

please bro

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slide

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jus this once

round talon
#

i don't wanna use a late pass

valid tendon
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neither of us get it

turbid ridge
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its not gon be useless given info

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but its not used either??

valid tendon
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let me just go to my bike rn and stare at it (i cant, its midnight and my paretns will question me)

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uh

round talon
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and it closed

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ima cry

valid tendon
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what do the answers say if you can get them

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we can prepare you for these in the future

round talon
#

it closed

valid tendon
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maybe

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oh it doesnt reveal ans?

round talon
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it does

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but it closed

turbid ridge
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what the answer then

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say

round talon
#

if i view it i can't fix my grade

turbid ridge
#

oh

round talon
#

ima have to use a late pass

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oml

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bruuuuuuuuuuuu

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my life

valid tendon
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i had a thought that the smaller circle, if spun once, spins the big wheel too

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but like

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idk how does that work

round talon
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ima jus cry

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@valid tendon

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are u here?

valid tendon
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yea

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although i cant solve the problem sadly

round talon
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also we are using pythagreom identidty

round talon
turbid ridge
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him

valid tendon
#

whos him

rich vessel
#

aight then where we at

valid tendon
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we have no idea what the gears have to do with anything

rich vessel
round talon
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it's a diagram

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is all i can say

rich vessel
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we are finding inch per min speed rn ?

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what are we finding and how much do we already have ๐Ÿ‘€

valid tendon
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basically how much the big wheel rotates i guess

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the main thing here is what is the relationship between the gears and wheel

rich vessel
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the back gear has radius 4 inchs, front gear 7

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so back gear will have greater rpm

rich vessel
round talon
#

yes

rich vessel
#

1 rotation of back gear is 2 pi 4

round talon
#

also

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it's a new problem now

rich vessel
#

so per front gear rotation we would have 7/4 back gear rotation

rich vessel
round talon
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i tried

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fr

rich vessel
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how did the problem change โ˜ ๏ธ

valid tendon
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timed out

round talon
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yup

rich vessel
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ohh

valid tendon
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and used a late slip i think

rich vessel
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okie then, lets start new one

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front is 6 inch, back is 4 inch, 180 RPM and 20 inch diameter for wheel

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6/4 rotation of back gear per rotation of front gear

sonic pelican
#

if i'm not mistaken, the rpm transfers through the gear and chain

round talon
#

another person in here?

sonic pelican
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so you can just do v = rw on the wheel

round talon
#

yup

valid tendon
#

the smart people have arrived

rich vessel
round talon
#

where were you when i needed you

sonic pelican
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sleeping

round talon
#

i have a 100 percent in the class and now a 94 percent

turbid ridge
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i woke them ๐Ÿ’ฏ

round talon
#

idk how

sonic pelican
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oh no

round talon
#

why is college like this

sonic pelican
round talon
#

no

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it's a new problem

sonic pelican
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ok so what's the angular speed

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in radians per minute

round talon
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i think it's 360 pi

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per minute

sonic pelican
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yes

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so then use v = rw and should be done

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unit conversion moment for #2

rich vessel
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the back gear is smaller

sonic pelican
#

you're right, i'm wrong

rich vessel
sonic pelican
rich vessel
#

just not same amound

round talon
#

can you slide me the answer :C

sonic pelican
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multiply by radius ratio or something idk

rich vessel
round talon
#

i have about 4 more different projects

rich vessel
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6/4

round talon
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before i have to do the psat

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at 6:50 am

sonic pelican
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oh psat is fun

round talon
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and than a quiz

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than another assingment

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my life

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is going down hill

rich vessel
#

okie @round talon 360 pi / min is front gear, gotta find back gear ๐Ÿ‘

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how much is back gear rotating per front gear rotation ๐Ÿ‘€

round talon
#

i found that :C

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u find it

rich vessel
rich vessel
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well I know its 540pi, but you gotta find it ๐Ÿฅฒ

round talon
rich vessel
round talon
#

bro i have to do this

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than this

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than this

rich vessel
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doing less questions but understanding them >>>>>> doing more questions but not understanding them

round talon
rich vessel
round talon
#

and look at my grade

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all day

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doing assingments

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after assingments

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studying after studying

rich vessel
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hmmm

round talon
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and all i wanted was someone to slide

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than

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explain

sonic pelican
#

someone to what?

round talon
#

-_-

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slide the anwser

rich vessel
#

I won't give straight answer โ˜ ๏ธ

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I can tell you the steps

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guide you there ๐Ÿคท

round talon
#

that's the thing

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it takes yall 40 minutes to explain

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bruuuuu

round talon
#

not even 40

rich vessel
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well I just came โ˜ ๏ธ

round talon
#

@turbid ridge

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where did u go

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u aint even helped :C

rich vessel
round talon
#

bro had to call support

rich vessel
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โ˜ ๏ธ

round talon
#

and the suport aint supportin

rich vessel
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no point in discussing this tho

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lets get back to the question

round talon
#

alr

rich vessel
#

faster answer for you too like that ๐Ÿคท

round talon
#

i wanna go to sleep man

rich vessel
rich vessel
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go sleepless like me ๐Ÿ’ช

round talon
#

it's 12:32

rich vessel
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ohh

round talon
#

for me

rich vessel
#

ohhhh

round talon
#

that's why

rich vessel
#

you have to submit at 6:50 my bad

round talon
#

the other problem was due 30 minutes ago

rich vessel
# rich vessel

okie now how much does back gear rotate per front gear rotation

round talon
#

180 degress ig

rich vessel
#

nah

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for front gear 1 rotation = 2*pi*6 rotation right ?

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in the chain

round talon
#

ye

rich vessel
#

how much is 1 rotation for back gear ?

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it has radius of 4 inch

round talon
#

2*pi6

rich vessel
#

back has different radius

round talon
#

-2*pi6

rich vessel
#

1 rotation for back gear would be 2*pi*4 right ?

round talon
#

yey

rich vessel
#

okie if front is 12 pi and back is 8 pi

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how much is 1 rotation of front for back ?

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if we rotate front once, chain would travel 12pi right ?

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in that 12 pi, how much would back rotate ?

round talon
#

i truly do not know

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3/2?

rich vessel
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yup

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you do know ye

round talon
#

nah

rich vessel
round talon
#

i truly did not know

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i used chat gpt

rich vessel
#

question asked for 180 rotations per minute front

rich vessel
round talon
#

continue bruda

rich vessel
round talon
#

are we doing a full 360?

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so 360-180

rich vessel
#

yup

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no no

round talon
#

u get it

rich vessel
#

we are rotating it full 360, 180 times

round talon
#

and we use that remiander

rich vessel
#

don't look at that 360 rn

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forget the 360

round talon
#

we are going 180 back

rich vessel
#

when we rotated it 1 time, back gear rotated 3/2 times

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when we rotate it 180 times

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how much will it rotate ?

round talon
#

180

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am i right?

rich vessel
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nope

round talon
#

or am i lost cause

rich vessel
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rotating it 1 time in front give 3/2 rotation in back

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rotating it 180 times in front

round talon
#

270

rich vessel
#

yes

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270

round talon
#

is what chat gpt said

rich vessel
round talon
#

how do i turn of an ai

rich vessel
#

you were talking about grade, but if you don't understand what would you do when you get these in exams ?

round talon
#

i think

rich vessel
round talon
#

i would look to the left

rich vessel
round talon
#

or bring that cheat sheet

rich vessel
#

if you got 1 apple in 5 coins, you get 180 apples in 180*5 coins

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we are doing that but with rotation

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1 rotation gave 3/2 rotation in back

round talon
#

what does apples and coins have to do with the equation

rich vessel
#

180 rotations gave 180*3/2 rotation in back

rich vessel
round talon
#

alr

#

alr

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continue

rich vessel
#

aight so 270 rotations per minute

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how much does wheel travel in 1 rotation ?

round talon
#

in miles?

rich vessel
#

first inches

round talon
#

or feet

rich vessel
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we will convert to miles in the very end

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inches

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the ones given in question

round talon
#

it had travel about

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....

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im not sure tho

rich vessel
#

a wheel would travel as much as its circumference is

round talon
#

18-

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180

rich vessel
#

how much is its circum ference ๐Ÿ‘€

rich vessel
#

we want inches

round talon
#

im to dumb for that

rich vessel
#

and in 1 rotation wheel travels 360 degrees not 180 thonk

rich vessel
#

a circle ?

round talon
#

ok

rich vessel
#

what is it ๐Ÿ‘€

round talon
#

360 :0

rich vessel
#

circumference of a wheel ?

round talon
#

revolution?

rich vessel
#

perimeter

round talon
#

in/min

rich vessel
round talon
#

im so confused

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i swear to god

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i am not trying to be a troll

rich vessel
#

what does circumference of a circle mean ?

rich vessel
round talon
#

the entire of a circle

rich vessel
round talon
#

i think

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it rad-

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i

rich vessel
#

what does 2pi r mean ๐Ÿ‘€

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what do you find by using it ?

round talon
#

the amount it rotates

rich vessel
#

okie, thats what we wanna find

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also

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2 pi r means circumference of a circle

round talon
#

oh

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ok

rich vessel
#

the big wheel

round talon
#

2 pi 1/2

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2pi r 1/2*

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worng

rich vessel
#

also put values inside

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we need the value

round talon
#

idk

rich vessel
#

whats r ?

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and why 1/2 ?

round talon
#

idk

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i truly do not know what i am doing

rich vessel
#

everything you write has to have a reason despair

rich vessel
#

moves while it rotates

round talon
#

alr

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if it pedals 180 rpm

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and the bicycle with a 20 in--diameter wheel

rich vessel
round talon
#

270

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per minute?

rich vessel
#

yup

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270 rotations

round talon
#

so

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270 x 5280 x

#

forgot the last one

rich vessel
round talon
#

in a mile

rich vessel
#

inches

round talon
#

and we are probaly gonna look at the a inches

rich vessel
#

no unit conversion

round talon
#

wich is 12

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in

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for 1 feet

rich vessel
#

no conversions yet

#

keep it in inches

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convert at the end

round talon
#

1 in

rich vessel
#

rotation ?

round talon
#

if 1 in/min = 270 / 5280 x 12 then mph??

rich vessel
#

its not 1in/min

round talon
#

what am i doing

rich vessel
#

you are supposed to find

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if something is rotating x times

round talon
#

yup

rich vessel
#

and has diameter 20 inches

round talon
#

yup

rich vessel
#

how much does it move

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diameter 20 inches

round talon
#

1 feet and .93-95 feet

rich vessel
#

โ˜ ๏ธ

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why feet ??

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give answer in inches

round talon
#

inches

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i mean

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1 in and 2/3

rich vessel
#

1.93 - 95 inches ??

round talon
#

no

#

am i dum

rich vessel
#

bruh I gtg for lunch now despair

round talon
#

just say

#

it

#

noo

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please

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i knew it

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i am dumb

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ima cry

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i wasn't even helped

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please

#

don't go

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help me solve this problem

rich vessel
round talon
#

i will stop playing around

rich vessel
#

but even then I gotta go for lunch

rich vessel
turbid ridge
#

akki continue helping him i cant despair

rich vessel
turbid ridge
#

akki do it for hotw

round talon
#

ain't no way bro was still watching us

rich vessel
rich vessel
turbid ridge
#

dont worry help him

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idk whats going om

rich vessel
#

270 times

#

per minute

round talon
#

yup

rich vessel
#

and has radius 10 inches

round talon
#

yup

rich vessel
#

find how much it travels per minute

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and then find how much it gravels in miles per hour

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:D

#

now bai baiiii , @turbid ridge I fr am going for lunch/brunch

turbid ridge
#

wait confirm this akki

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am i supposed to just use the fact it travels the length of its circumference per revolution

turbid ridge
#

ok

#

now i can help

round talon
#

16in/rotation

turbid ridge
#

no

#

umm

#

so

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per rotation, it travels the length of its circumference

round talon
#

2 * pi * 10 in???

#

aint that jus 62 inches

turbid ridge
turbid ridge
round talon
#

convert that too

#

62.83

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to be exact

turbid ridge
#

yeah 62.83

round talon
#

so than

#

it's

#

16

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963.1 inches/minute

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correct?

turbid ridge
#

wait what no

#

its just 62.83 in\revolution

round talon
#

than you multiply it by 270

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or do you not?

#

bro @rich vessel

#

he is a lost cause

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come backk

turbid ridge
#

and there are 270 revolution per minute
so 16964.1 in/min

round talon
turbid ridge
#

you do

round talon
#

so

#

thats our in/min for the first part right?

turbid ridge
#

yeah

round talon
#

than how do we get our mph

turbid ridge
#

okay how many inches in a mile?

round talon
#

12

#

wait

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if its for feetr

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than you do 12 times 5620

turbid ridge
#

5280 feet, and 12 inch per feet

round talon
#

to get a mile

turbid ridge
round talon
#

mb

turbid ridge
#

yh

#

so

round talon
#

but u get the idea

turbid ridge
#

1 mile = 12 times 5280 inch

round talon
#

yup

turbid ridge
#

1 hour = 60 minutes

round talon
#

yup

turbid ridge
round talon
#

yes sir

turbid ridge
#

so 1 inch/minute = $\frac{\frac{1}{63360} \text{ mile}}{\frac{1}{60} \text{ hour}}}$

round talon
#

um

sinful pineBOT
#

wolfqz
Compile Error! Click the errors reaction for more information.
(You may edit your message to recompile.)

turbid ridge
#

um wait

round talon
#

...

turbid ridge
#

because 1 inch = 1/63360 miles

#

remember?

round talon
#

yu

turbid ridge
#

we can simplify this a little using proeprties of fractions

#

$\frac{60}{63360}$ mph = 1 inch/min = $\frac{6}{6336}$ mph

round talon
#

1056

sinful pineBOT
#

wolfqz

turbid ridge
round talon
#

nvm

turbid ridge
#

it simplifies to 1/1056 yes

#

so now we know that 1 inch/min = $\frac{1}{1056}$ mph

sinful pineBOT
#

wolfqz

turbid ridge
#

so 16964.1 in/min = ?

round talon
#

so 1 something?

#

or do we divide

#

16,964.1 in/min by 12

turbid ridge
#

16964.1/1056

round talon
#

am i on the right track?

turbid ridge
#

will convert it to mph

round talon
#

oh

#

16.06

turbid ridge
#

ys

round talon
#

so the first anwser is 16964,.1

#

and the second is

narrow lotus
#

610 msgs thonk

round talon
#

16.06?

turbid ridge
#

yeah

round talon
#

that took forever bru

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can u help me with another thing tho?

turbid ridge
#

do u think i will be able to

round talon
#

lol

turbid ridge
#

send the question akki will do it if i cant

round talon
#

i sent it

#

and this

#

i would perfer if someone would help me on the secon one

rich vessel
#

Well both answers you guys got were right

#

I just came back

rich vessel
#

Too

round talon
#

huh

rich vessel
#

It asks for SinG

#

Did you find that ?

round talon
#

no

#

is it 1

rich vessel
#

Hmm ok

#

Nope

#

Sooo in a circle

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Radius say r

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Then coordinates of points are (rcos theta, rsin theta)

round talon
#

yup

rich vessel
#

I mean rcos theya

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And r sin theta

rich vessel
#

Whats special about unit circle ?

round talon
#

i think it's the midpoints and intersections

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and the quadrants

rich vessel
#

Nah

#

Any random circle at origin would have same midpoint, same quadrants

#

A unit circle is special because it is a circle with radius 1

round talon
#

yea

#

oh that too

rich vessel
#

Now that you know it's radius

rich vessel
#

Then you can find the answer ๐Ÿ‘€

round talon
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a and b

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right

rich vessel
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yup

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and you know r = 1

round talon
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yea

rich vessel
round talon
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r cant be bigger than 0-1

rich vessel
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tell me whats cos and whats sin

rich vessel
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only if r is 1

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then its a unit circle

round talon
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oh ok

rich vessel
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then tell me whats sinG

round talon
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1/2

rich vessel
round talon
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or

rich vessel
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ok @round talon whatever you say from now on, you must have a reason behind it

round talon
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sqrt 3/2

rich vessel
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no random numbers

rich vessel
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did I specify G to be 60 ?

round talon
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no

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so is it sqrt 3/2, 1/2

rich vessel
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why ?

round talon
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i do not know

rich vessel
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why is it those 2 ?

rich vessel
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otherwise I am going

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ok ?

round talon
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ookkkk

rich vessel
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you know that in a circle

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at any angle x

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the points lying on circle would be (rcosx,rsinx)

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right ?

round talon
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yea

rich vessel
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now at what angle is the point in our question ?

round talon
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90 degrees

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am i wrong

rich vessel
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yes

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where why ?

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read the question again

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what is it asking ?

round talon
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read it

rich vessel
round talon
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30 to 45 degree

rich vessel
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where is it given ?

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that its 30-45 degrees ?

round talon
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i coudn't tell

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it dosn't say

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so do we just gom with 90?

rich vessel
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nope

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did you actually read your question ?

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what does the first line of question say ?

round talon
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Consider the angle G shown in the unit circle below. The angle is in standard position with its vertex at the origin,

rich vessel
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G

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G is the angle

round talon
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im afraid

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if i this wrong

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0

rich vessel
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yes it is wrong

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angle is G

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no numeric value

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if your question doesn't give you numbers

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don't put in numbers

round talon
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ok

rich vessel
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until you question doesn't specify it, don't go around saying 30-45 90 0

rich vessel
round talon
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ok

rich vessel
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at that angle ?

round talon
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it dosn't specify

rich vessel
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not in numbers

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but it does give the coordinates

round talon
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1

rich vessel
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wha

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why 1 ?

round talon
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woudn't that be the number

rich vessel
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nope

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no numbers yet

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also

round talon
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cause it's on the mid line

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of intersection

rich vessel
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coordinates would be (x,y) right ?

round talon
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on a circle

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yes

rich vessel
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how is 1 your coordinate ??

round talon
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it isn't

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we don't know

rich vessel
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what are the coordinates ?

round talon
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it dosn't have it

rich vessel
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and at what angle are they ?

rich vessel
round talon
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oh

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i wanna say 9

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...

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0

rich vessel
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bruh

round talon
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but i am wrong

rich vessel
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why is it 90 ???

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did question say 90 anywhere ?

round talon
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no

rich vessel
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why 90 then ?

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its at G angle ๐Ÿ˜ญ

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now any in a circle coordinates of a point at angle x are ?

round talon
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it dosn't say

rich vessel
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that angle is G

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first sentence

rich vessel
round talon
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standard position

rich vessel
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just G

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G angle

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thats enough

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no more, no 90

round talon
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we don't knoooow

rich vessel
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no 0 no 30 no 45

rich vessel
round talon
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its g

rich vessel
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don't throw random numbers

rich vessel
round talon
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wait

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cos x

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sin x

rich vessel
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yes

round talon
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right?

rich vessel
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so what are coordinates at angle G ?

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if they were that at angle x

round talon
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1,0

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g=0

rich vessel
rich vessel
round talon
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im looking at the angel

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and it's orgin is 0

rich vessel
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every angle's origin is 0

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we don't want at origin

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we want coordinates at angle G

round talon
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we know it's in qudrant 1

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a and b are on the midline

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so then

rich vessel
round talon
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yea

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is what i ment

rich vessel
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what are coordinates at angle g ?

round talon
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cos g sin g

rich vessel
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(a,b) = (cosg,sing) ?

round talon
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yea

rich vessel
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what are 1st 2 questions asking you to find ?

round talon
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find the values

rich vessel
round talon
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a and b

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and explain

rich vessel
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have you read your question ???

round talon
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vertex at the origin, one side along the positive x-axis, and its other side intersects the circle at the coordinate point (a , b).

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first part

rich vessel
round talon
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second part

rich vessel
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it asks you to find

round talon
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yea

rich vessel
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sin(G_

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and give reasoning

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then cos(G)

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with reasoning

round talon
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alr

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and how do i do that

rich vessel
rich vessel
round talon
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cordinates

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for a and b

rich vessel
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cosG = a

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sinG = b

round talon
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and sin

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yu[

rich vessel
round talon
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idk

rich vessel
round talon
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im so confused

rich vessel
rich vessel
rich vessel
round talon
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forget that part

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i was gonna say

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sin (g + a pi)

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cos (g + b pi/2)

rich vessel
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wha

round talon
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since it makes sense

rich vessel
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does that mean, you can solve further questions ?

round talon
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maybe

rich vessel
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aight then

round talon
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so sin ( g - a pi/2?)

rich vessel
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you know sin(a-b) formula ?

round talon
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no

rich vessel
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sinacosb - sinbcosa

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@round talon put those values in this

round talon
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sin(Aโˆ’B)=sinAcosBโˆ’cosAsinB

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bro fr