15. given the right triangle in the diagram below,
what is the value of x, to the nearest foot?
a. 11
b. 17
c. 18
d. 22

The answer to your question is 18 feet

Step-by-step explanation:

Data

hypotenuse = x

angle = 40°

adjacent side = 14 ft

Process

1.- To solve this problem we use trigonometric functions. The trigonometric function that relates the adjacent side and the hypotenuse is cosine.

            cos Ф  =

Solve for hypotenuse

             hypotenuse =

2.- Substitution

              hypotenuse =

3.- Simplification

               hypotenuse =

4.- Result

               hypotenuse = x = 18.27 ≈ 18 ft

15

step-by-step explanation:

we are given the following expression and we are to solve it and find the product:

-13 × (-5)

solving the given expression in the standard order of solving a mathematical expression, beginning with the opening of brackets and then multiplying the terms and changing their signs.

-3 × -5 = 15 (answer is positive because when negative is multiplied with negative, it gives a positive answer)