A cone shaped tepee has a radius of 4 feet and a slant height of 7feet. If joe is six feet tall, determine whether joe is shorter or taller than the height of the tepee.

Therefore Joe is taller than the height of the tepee.

Step-by-step explanation:

Cone:

Given that,

A cone shaped tepee has a radius of 4 feet and slant height of 7 feet.

The height of the cone is  

                                           feet

                                          feet

                                          ≈5.74 feet

Given that, Joe is 6 feet tall.

Since 6 feet> 5.74 feet

Therefore Joe is taller than the height of the tepee.

linear

step-by-step explanation:

the system of inequalities is

step-by-step explanation:

step 1

find the equation of the dashed line

we have the points

(0,0) and (3,1)

the line passes through the origin, so, is a direct variation

find the slope

the equation of the dashed line is

the solution of the inequality a s the shaded area above the dashed line

therefore

the equation of the inequality a is

step 2

find the equation of the solid line

we have the points

(4,0) and (0,4)

find the slope

the equation of the solid line is

the solution of the inequality b s the shaded area below the solid line

therefore

the equation of the inequality b is

step 3

the system of inequalities is