Sin(A) / a = Sin(C)/c
Sin(A) = a * Sin(C)/c
Sin(A) = 32 * Sin(30)/16
Sin(A) = 32 * 0.03125
Sin(A) = 1
A = 90°
<span>By the law of sines, angle A must be 90 degrees. That makes side a the hypotenuse of a 30-60-90 triangle. There is only one triangle. The third side is 16</span>√<span>3, and the third angle 60</span>°<span>.</span>
Answer:
Step-by-step explanation:
As you can see from the graph I attached you, the possible solutions in the interval from 0 to 2π are approximately:

So, it's useful to solve the equation too, in order to verify the result:

Taking the inverse sine of both sides:

Using this result we can conclude the solutions in the interval from 0 to 2π are approximately:

Answer:

Step-by-step explanation:
Let
and
.
The slope of AC can be found using

Substitute the variables to get;

This is an arithmetic sequence
f(1) = 7(0) -10 = -10
f(2) = 7(1) -10 = -3
f(3) = 7(2) -10 = 4
f(4) = 7(3) -10 = 11
Answer:
0.30
Step-by-step explanation:
They are independent, so:
P(A and B) = P(A) P(B)
0.24 = 0.80 P(B)
P(B) = 0.30