Shauna is making accessories for the soccer team. She uses 843.81 inches of fabric on headbands for 29 players and 4 coaches. She also uses 279.56 inches of fabric on wristbands for just the players. How much fabric was used on a headband and wristband for each player?

the  25.57 inches and 9.64 inches is the fabric used for headband and wristband for each player

Step-by-step explanation:

The computation of the fabric used on a headband and wristband for each player is as follows:

For headband

= 843.81 inches ÷ (29 players + 4 coaches)

= 843.81 inches ÷ 33

= 25.57 inches

And, for the wristband, it would be

= 279.56 inches ÷ 29 players

= 9.64 inches

Hence, the  25.57 inches and 9.64 inches is the fabric used for headband and wristband for each player

7,24

step-by-step explanation:

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240