Answer:
B. m∠B = 118°, a = 17, c = 18
Step-by-step explanation:
The answer choices all agree on the values of ∠B and c, so we only need to compute the value of side a.
We can verify angle B is ...
∠B = 180° -30° -32° = 118°
By the law of sines, ...
a/sin(A) = b/sin(B)
Multiplying by sin(A), we get ...
a = b·sin(A)/sin(B) = 30·sin(30°)/sin(118°) ≈ 16.98855
a ≈ 17.0 . . . units . . . . . matches choice B
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If you like, you can also verify side c:
c = b·sin(C)/sin(B) = 30·sin(32°)/sin(118°) ≈ 18.00512
c ≈ 18.0 . . . units
The answer to the question
Answer:
The first one/$9 an hour job.
Step-by-step explanation:
For every 32 hours he works at the $9 per hour job he makes $288.
On the other hand, for every 32 hours he works at the $7 per hour job he only makes $224.
So the only one that'll work where he gets at least $251 is the $9 an hour job.
<u>Hope this helps and have a nice day!</u>
Answer:
The solution is 
Step-by-step explanation:
The equation
can be rewritten as
and can be further simplified to
.
Now, taking the inverse sine of both sides we get:
The value of the right side on the interval 
is
,
which makes the equation (2)
solving for 
gives
which is our solution.
