If you want to put a 4x8 piece of plywood through a 3-foot square opening in your ceiling by turning it diagonally, is the opening big enough? use 45-45-90 triangle since it is a square

The first step is to calculate the length of the diagonal of the square opening.

The length of a diagonal of square = * side

Given side = 3 feet

Length of the square hole = *3 = 4.24 feet

since the diagonal is 4.24 feet and the shorter side of the plywood piece is only 4 feet, we can slide it through the square hole diagonally

Answer is YES since the diagonal 4.24 feet is greater than the shorter side of the plywood piece *4 feet

$53.50

step-by-step explanation:

you have to subtract the amount of money chuck earned ($72.50) by the cost of the gas for the mower ($11.25) and the new string for the trimmer he bought ($7.75).

72.50-11.25=61.25

and then subtract $61.25 by the second thing he bought (the new string for the trimmer)

61.25-7.75=53.5

so in total it's $53.50 (53 dollars and 50 cents)