Please help 20 points The number of kilograms that an object weighs varies directly as the number of pounds. If an object weighs 45 kilograms or about 100 pounds, about how many kilograms is an object that weighs 70 pounds?

31.5

Step-by-step explanation:

To solve this ratio problem, you need the common ratio. Divide the amount of pounds by the amount of kilograms.

Step 1: Divide 100 pounds by 45 kilograms

100 ÷ 45 = 2.2

This is the common ratio

Step 2: Divide 70 pounds by 2.2

70 ÷ 2.2 = 31.5

This is the amount of kilograms in a 70 pound object

27 inches

Step-by-step explanation:

To find the length of the diagonal, we just need to use the cosine relation of the 48° angle.

The adjacent side to the angle is the height of the canvas, and the hypotenuse formed is the diagonal of the canvas. So, we have that:

cos(48) = height / diagonal

0.6691 = 18 / diagonal

diagonal = 18 / 0.6691 = 26.9 inches

Rounding to the nearest inch, the diagonal of the canvas measures 27 inches