Solve the equation if 0° < x < 360° cos x = - 1/2

120° and 240°

Step-by-step explanation:

The given info about the angle x is  cos x = - 1/2.

By definition, cos x = - 1/2 = (adjacent side) / hypotenuse, so here we can assume the adjacent side is -1 and the hypotenuse is 2.

A negative cosine tells us that the angle is in Quadrant II or Quadrant III.

If x is in Quadrant II, then its value is 120°

If x is in Quadrant III, then its value is  120° + 120°, or 240°

Check:  

  n=   0.0000 - 0.3750 i  

  n=   0.0000 + 0.3750 i

step-by-step explanation:

one of these should be correct

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