To the nearest hundredth, what is the value of x?

a. 62.25
b. 100.25
c. 101.12
d. 128.32

B

Step-by-step explanation:

Using the cosine ratio in the right triangle

hypotenuse = x and adjacent = 79

cos38° = =

Multiply both sides by x

x × cos38° = 79 ( divide both sides by cos38° )

x = ≈ 100.25 → A

34.5 cm

step-by-step explanation:

generally for a circular segment of angle, θ° and radius r

arc length

= (θ/360) x circumference

= (θ/360) x 2πr

in our case, θ = 60°, π=3.142 and r = 33 cm

substitute into above formula

arc length

= (60/360) x 2(3.142)( 33) = 34.5 cm