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anonymous
 one year ago
Please help!
anonymous
 one year ago
Please help!

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jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1Start by drawing any generic triangle ABC dw:1434070079074:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1A = 43 degrees B = 62 degrees we can find C A+B+C = 180 43+62+C = 180 C = 75 dw:1434070139361:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1yes, BC = 22 and AB = unknown Let x = AB dw:1434070198509:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0yes I know that much

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1now you use the law of sines sin(A)/a = sin(C)/c sin(43)/22 = sin(75)/x solve for x

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\frac{ \sin43 }{ 22 } = \frac{ \sin75 }{ x }\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I'm honestly not sure how to solve for x @jim_thompson5910

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1using a calculator, you should find that sin(75) = 0.96592582628907 sin(43) = 0.6819983600625

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1replace sin(43) and sin(75) with those approx values cross multiply and then solve for x

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0this is what I got...

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1you can also do it symbolically like this \[\Large \frac{\sin(43)}{22}=\frac{\sin(75)}{x}\] \[\Large \sin(43)*x=22*\sin(75)\] \[\Large x=\frac{22*\sin(75)}{\sin(43)}\] \[\Large x=???\] treating sin(43) and sin(75) as if they are variables

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1desmos is in radian mode by default

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1click the wrench icon and switch to degree mode

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Is there a place to put degrees in desmos?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1it's off to the right side

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0so the first one is D?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1yeah I get 31.1589725471071 which rounds to 31.2

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0Thanks I think I can get the 2nd on my own

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1434070810160:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1434070891025:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0sorry I'm just using this to walk myself through it you can leave @jim_thompson5910

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1alright, feel free to ask if you get stuck anywhere

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0great I'm already stuck .

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I'm not sure what to use to find r... @jim_thompson5910

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1you need qr to find r (with the law of sines) but before you can use the law of sines, you have to use the law of cosines to find qr

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1dw:1434071160502:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[c^{2} = 7.5^{2} + 8.4^{2}  2(7.5)(8.4)\cos(43)\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok I'm working it out now...

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0dw:1434071506507:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1now you can use the law of sines

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0can you set it up for me like you did with the last one? I'm very bad at this...

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1the law of sines works like this sin(A)/a = sin(B)/b = sin(C)/c dw:1434071589360:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1the letters pair up (upper and lower case) A pairs with a B with b C with c you'll have sin(A) pair with a, so that's how I got one fraction sin(A)/a same with sin(B)/b and sin(C)/c

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1normally you don't know the full picture of the triangle so instead of saying sin(A)/a = sin(B)/b = sin(C)/c you would use sin(A)/a = sin(B)/b or sin(B)/b = sin(C)/c or sin(A)/a = sin(C)/c

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[\frac{ \sin43 }{ 7.5 } = \frac{ \sin7.5 }{ x }\]

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1I would use the full decimal expansion of qr instead of 7.5 or you can use a longer version, say qr = 7.5409365

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1and the second fraction won't have sin(7.5)

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1dw:1434071876378:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1dw:1434071921347:dw

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh ok, so is this the right format (besides the larger decimal)?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1do you see how I have sin(r)/7.5 ?

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oooh ya I'll fix that

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0\[7.5= \frac{ 7.5*\sin x }{ \sin 43 }\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I'm just screwing this up aren't I?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1you're doing great

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0ok but how do I isolate x?

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1First cross multiply. Then isolate sin(x). Finally use arcsine to fully isolate x \[\Large \frac{\sin(43)}{7.5409365}=\frac{\sin(x)}{7.5}\] \[\Large 7.5*\sin(43)=7.5409365*\sin(x)\] \[\Large 7.5409365*\sin(x) = 7.5*\sin(43)\] \[\Large \sin(x)=\frac{7.5*\sin(43)}{7.5409365}\] \[\Large x=???\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0OOOH thank you so much!

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1what result do you get

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0um... I got lost after this far

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0I'm not sure what to do with the sin x to find x

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1the top 7.5 should use more decimal digits (say 4 or 5)

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1oops I meant the bottom 7.5

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1oh wait, I just realized that qr isn't 7.5 you were in radian mode on accident (I was too)

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1no wonder I'm not getting the answer choices

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0woooow XD ok then what is it??

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1this is the length of qr

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1QR = 5.887226 approximately dw:1434072742525:dw

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1\[\Large \frac{\sin(43)}{5.887226}=\frac{\sin(x)}{7.5}\] \[\Large 7.5*\sin(43)=5.887226*\sin(x)\] \[\Large 5.887226*\sin(x) = 7.5*\sin(43)\] \[\Large \sin(x)=\frac{7.5*\sin(43)}{5.887226}\] \[\Large x=???\]

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0oh oops I changed the other 7.5 XD

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1now evaluate the arcsine of that number

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1you nailed it

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1both seem to be D, yes I guess the makers weren't too creative

anonymous
 one year ago
Best ResponseYou've already chosen the best response.0haha well thank you SO much! *hugs*

jim_thompson5910
 one year ago
Best ResponseYou've already chosen the best response.1you're welcome
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