A metal strip 42 inches long is to be cut in two pieces. The smaller piece is to be 3 inches more inches than half of the larger. find the length of each piece

Piece 1 = 26 inches

Piece 2 = 16 inches

Step-by-step explanation:

42 inches long

Divided into two pieces

Piece 1: x

Piece 2: 0.5x + 3

Add the pieces together and set equal to 42, (or the total)

x + 0.5x + 3 = 42

1.5x + 3 = 42

Subtract 3 from both sides of the equation

1.5x = 39

Divide both sides of the equation by 1.5

x = 26

Piece 1 = 26 inches

Piece 2 = 42 - 26 = 16 inches

Hope this helps :)

(sin 42)/31. = sinx)/37

sinx = 37 (sin42)/31

= 37× 0.66/31 = 0.787

x= 51.9

other angle opposite to y = 180-51.9-42

= 180- 93.9 =86.1

so

sin42)/31 = sin 86.1)/y

0.021 = 0.997 /y

y= 0.997/0.021 =47.47

8

step-by-step explanation:

just put √(2) * √(32) into a calculator. that will make the answer be 8.