The length of a board is 55 inches. The board needs to be cut into 2 pieces with one piece 5 inches longer than the other piece. What is the length of the longer piece? Use an equation with a variable.

Solution:

Let "x" be the length of longer piece

Let "y" be the length of shorter piece

The length of a board is 55 inches

Therefore,

x + y = 55 eqn 1

The board needs to be cut into 2 pieces with one piece 5 inches longer than the other piece

Therefore,

x = 5 + y eqn 2

Substitute eqn 2 in eqn 1

5 + y + y = 55

2y = 55 - 5

2y = 50

Substitute y = 25 in eqn 1

x + 25 = 55

x = 55 - 25

Thus the length of longer piece is 30 inches

step-by-step explanation:

the answer is 89 d

i took the test

answer would be 8.64 or s = 11π/4 inches

step-by-step explanation:

s = r θ  

where s = arc length  

r = radius = 3 inches  

θ = central angle in radians = ( π /180)*165  

s = 3(π/180)*165  

= 8.64 inches