Laws of ! find b round to the nearest second time posting this !

32.7°

Step-by-step explanation:

Use the formula for law of cosines, for this question we need so solve for angle B, so use...

b² = a² + c² - 2(a)(c)Cos B

We are given a, b, and c, so plug them in...

55² = 90² + 50² - 2(90)(50)Cos B

Now simplify...

3,025 = 8100 + 2500 - (9000)Cos B

   -7,575 = -(9000)Cos B   (subtract 8100 and 2500 from both sides)  

       0.841666667 = Cos B    (divide both sides by -9000)

       Cos^(-1) 0.841666667 = B  (use cosine inverse function on calculator)

          32.68346376° = B

           32.7° = B

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