Write an inequality to describe the region. The solid upper hemisphere of the sphere of radius 5 centered at the origin

for

Step-by-step explanation:

Given

--- radius

Required

Determine the inequality of the region

The inequality of a region of a sphere is determined using:

Substitute 5 for r

Solving further: The question says only the upper hemisphere is considered.

This implies that:

So, the equation is:

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step-by-step explanation:

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the smallest possible measurement of the width is 14 feet

step-by-step explanation:

let's assume length of parallelogram is 'l'

width of parallelogram is 'w'

the perimeter of a parallelogram must be no less than 40 feet

so, we get

we are given

length of parallelogram is 6 feet

so,

l=6

we can plug it

now, we can solve for w

subtract both sides by 12

divide both sides by 2

and we get

so,

the smallest possible measurement of the width is 14 feet