Find the missing value to the nearest hundredth

cos___ = 9/20

26.74
80.63
63.26
24.23

The correct answer is 63.26.

To find the missing value, we can use the inverse cosine function (cos⁻¹) which tells us the angle that has a cosine of a given value.

cos⁻¹(9/20) ≈ 63.26°

Therefore, the missing value is approximately 63.26 to the nearest hundredth.