Factor each.

5x to the 3rd ppwer + 25x to the 2nd power -4x -20 = 0

z = 12.53 inches.

Step-by-step explanation:

Given : A right triangle. One angle measures 37 degrees. The side adjacent to the 37-degree angle measures 10 inches. The hypotenuse is labeled as z.

TO find : What is the value of z in the triangle? Enter your answer in the box. Round your final answer to the nearest hundredth.

Solution : We have given that a right triangle with one angle 37 degree and  

side adjacent of 37 degree = 10 inches

Hypotenuse =  z

By the cosine ration :

Cos (Ф) =

plugging the values of adjacent side and hypotenuse

Cos (37) =

On multiplying both side by z

z (0.798) = 10

On dividing by 0.798 both sides

z =

z = 12.53 inches.

Therefore, z = 12.53 inches.