In AWXY, the measure of ZY=90°, WY = 5, XW = 13, and YX = 12. What ratio represents the cosine of ZW?

Given:

In and .

To find:

The ratio represents the cosine of .

Solution:

In . It means the opposite side of angle Y, i.e., XW is the hypotenuse of the triangle.

In a right angle triangle,

In the given triangle,

Therefore, the required cosine ratio is .

the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet