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

the distance from any point on the parabola to the focus is the exact same as the distance from that point to the directrix.

if you could provide answer choices that might allow me to answer the question easier if my above answer isn't an option! (: