A right cone has a slant height of 17 feet, and the diameter of the base is 16 feet. What is the height, h, of the cone?

The height of the cone is 18.79 ft.

Step-by-step explanation:

Given,

The slant height (l) of the cone = 17 ft

The diameter = 16 ft

So, the radius (r) = 8 ft

To find the height (h) of the cone.

Formula

By Pythagoras theorem,

Perpendicular²+ base² = height²

Now,

Height² = 17²+8²

= 289+64

= 353

h = - 18.7888 = 18.79 (approx)

Hence,

The height of the cone is 18.79 ft.

x = 25/2304

step-by-step explanation:

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."