Find all solutions in radians. approximate your answers to the nearest hundredth. (let k be any integer.) cos (2x − 1) = 0.9 x=

0.73 + πk, 0.28 + πk

Explanation:

      cos (2x - 1) = 0.9

cos⁻¹[cos (2x - 1)] = cos⁻¹ 0.9

               2x - 1 = +/- 0.45

               2x      = +/- 0.45 + 1

                  x      =

                  x      = ,   x  =

                  x      = 0.73, 0.28

For ALL Solutions:

x = 0.73 + πk         and        x = 0.28 + πk

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