A roof on a castle tower is shaped like a cone with a diameter of feet and has a slant height of feet. One bundle of shingles covers square feet. How many bundles should you buy to cover the roof?

i'm sure goog can you get that answer

both equations and proportions are better.

1 number

if we use a graphing calculator, there is only one such number that satisfies the conclusion of the mean value theorem, that is, a number such that

where the right-hand side is the average rate of change of f on the interval [0.5,0.75], which is the slope of the secant line.

in the attached graph, the black line is the secant line which has its slope as the average rate of change of f on [0.5,0.75], while the orange line is the only tangent line to the graph of f in the interval that satisfies the mvt conclusion.