A right cone has a surface area of 628 cm squared and a diameter of 10cm what is the slant length

slant length = 35 cm

Step-by-step explanation:

A right cone has the vertex directly above the center of the base . The surface area of the right cone can be represented below.

surface area = πr(r + l)

where

r  = radius

l = slant height/length

surface area = πr(r + l)

r = 10/2 = 5 cm

surface area = 628 cm²

Therefore,

628 = π × 5(5 + l)

628 = 5π(5 + l)

628 = 25π + 5πl

628 = 25 × 3.14 + 5 × 3.14 × l

628 = 78.5 + 15.7l

628 - 78.5 = 15.7l

549.5 = 15.7l

divide both sides by 15.7

l = 549.5/15.7

l = 35 cm

slant length = 35 cm

d (5 x (-20)) * (100 x (0.7))

step-by-step explanation:

5÷1/100 * -.7 *-20

copy dot flip

5*100 * -.7 *-20

rearrange

5*-20   * 100 *-.7

-100   *-70

7000

- "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."