The diameter d in inches of a rope needed to lift a weight of w tons is given by the formula d = 15w π . how much weight can be lifted with a rope with a diameter of 19.5 in.?

0.41 tons can be lifted

Step-by-step explanation:

The diameter d in inches of a rope needed to lift a weight of w tons is given by the formula d = 15w π .

This means that the diameter of the rope varies with the weight to be lifted. d is the dependent variable

π is a constant which is approximately 3.142

To determine the amount of weight that can be lifted with a rope with a diameter of 19.5 in, we substitute d = 19.5 into the given equation. It becomes

19.5 = = 15w ×3.142

19.5 = 47.13w

w= 19.5/47.13 = 0.41 tons

a and c

step-by-step explanation: