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Anna35 [415]
2 years ago
15

Stacy wants to build a patio with a small, circular pond in her backyard.The pond will have a 6-foot radius. She also wants to i

nstall tiles in the remaining area of the patio. The length of the patio is 13 feet longer than the width.
If the cost of installing tiles is $1 per square foot, and the cost of installing the pond is $0.62 per square foot, then which of the following inequalities can be used to solve for the width, x, of the patio, if Stacy can spend no more than $536 on this project?

A.) $1x^2 + $13x - $13.68\pi   \leq $536
B.) $0.62x^2 + $8.06x - $13.68\pi   \leq $536
C.) $1x^2 + $13x - $58.32\pi   \geq $536
D.) x^2 + $13x - $13.68\pi  \leq $536

Mathematics
2 answers:
qwelly [4]2 years ago
6 0

Answer:

The answer on Plato is this:

[$x²+$13x-$13.68*pi]   $536

BUT ON PLATO it's answer option C.

Step-by-step explanation:

Hope This Helps!!!

Brainliest???

Komok [63]2 years ago
4 0
We know that

step 1
the area to install tiles is equal to A
A=area rectangle-area of a circle

area of a rectangle=(13+x)*x-----> (13x+x²) ft²

area of a circle=pi*r²-----> pi*6²------> 36*pi ft²
A=(x²+13x)-36*pi  ft²

step 2
find the cost of installing tiles CT
CT=$1*[(x²+13x)-36*pi]-----> CT=$x²+$13x-$36*pi

step 3
find the cost <span>the of installing the pond CP
CP=$0.62*36*pi------> CP$22.32*pi

step 4
find the inequality
we know that
CT+CP </span>\leq<span> $536
[</span>$x²+$13x-$36*pi]+[$22.32*pi]  \leq $536

[$x²+$13x-$13.68*pi]  \leq $536

the answer is the option D
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