Mathematics
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OpenStudy (anonymous):
One questions! LAW OF SINES ALGEBRA 2
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OpenStudy (anonymous):
OpenStudy (anonymous):
Answer choices:
A. 110. 0 degrees
B. 153. 9 degrees
c. 26.1 degrees
D. 70.0 degrees
OpenStudy (anonymous):
lol very tricky
OpenStudy (anonymous):
Can you help me?
OpenStudy (anonymous):
it says use the law of sines to find angle B, but you cannot find angle B yet
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OpenStudy (anonymous):
oh
OpenStudy (anonymous):
you want to use
\[\frac{\sin(B)}{b}=\frac{\sin(A)}{a}\] but you can't because you do not know \(b\)
OpenStudy (anonymous):
what you really need to do is find angle C first
that you can do using the law of sines, since you know 3 out of the four numbers for the ratio needed
OpenStudy (anonymous):
\[\frac{sin(C)}{19}=\frac{\sin(40)}{13}\] is where you have 3 out of the four numbers
OpenStudy (anonymous):
so
\[\sin(C)=\frac{19\times \sin(40)}{13}\] making
\[C=\sin^{-1}\left(\frac{19\times \sin(40)}{13}\right)\]
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OpenStudy (anonymous):
obviously you need so use some kind of calculator for this
i can show you what i use
OpenStudy (anonymous):
okay
OpenStudy (anonymous):
that is not your final answer of course, that is just C
OpenStudy (anonymous):
okay
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OpenStudy (anonymous):
once you have \(C=69.69^\circ\) you can find \(A\)
OpenStudy (anonymous):
you good from there?
OpenStudy (anonymous):
Okay, how would I write the equation?
OpenStudy (anonymous):
Not quite..
OpenStudy (anonymous):
@satellite73
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OpenStudy (anonymous):
@triciaal pease help!
OpenStudy (anonymous):
will you help me? @triciaal
OpenStudy (misty1212):
you have two angles right?
OpenStudy (misty1212):
the total is 180
OpenStudy (misty1212):
\[180-40-69.96\]
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OpenStudy (misty1212):
oops
\[180-40-69.69\]
OpenStudy (triciaal):
do you see that Angle C is 70?
OpenStudy (triciaal):
Angles in a triangle add up to 180
40 + B + 70 = 180
solve for B
OpenStudy (anonymous):
I tried to tag him but hedidn't come back
OpenStudy (anonymous):
Yes, I see that angle C is 70
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OpenStudy (anonymous):
70
OpenStudy (triciaal):
sorry I saw that after 2 tags together
OpenStudy (anonymous):
is that all? It's just that equation?
OpenStudy (triciaal):
that's what I got
OpenStudy (anonymous):
okay, thank you for your help!
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OpenStudy (triciaal):
you are welcome