Find the measure for the angle of theta

A.

Step-by-step explanation:

Recall: SOHCAHTOA

Reference angle = θ

Side Adjacent to θ = 8

Hypotenuse = 15

Therefore, we would apply CAH since we know the hypotenuse and the adjacent length.

Thus:

Cos θ = Adj/Hyp = 8/15

Cos θ = 0.5333

θ = Cos^{-1}(0.5333)

θ = 57.7713051°

θ = 57.8° (to nearest tenth)

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!