MATHEMATICS HIGH SCHOOL

A backyard pool has a concrete walkway around it that is 3 feet wide on all sides. The total area of the pool and the walkway is 950 ft2. If the length of the pool is 8 feet longer than the width, find the dimensions of the pool.

Answers

Answer 1

Answer:

Answer:

$x \approx 21.080\,ft$ , $y = 29.080\,ft$

Step-by-step explanation:

The total area of the pool and the walkway is:

$(x + 6\,ft)\cdot (y + 6\,ft) = 950\,ft^(2)$

$(x + 6\,ft)\cdot (x + 14\,ft) = 950\,ft^(2)$

$x^(2) + 20\cdot x + 84\,ft^(2) = 950\,ft^(2)$

$x^(2) + 20\cdot x - 866\,ft^(2) = 0$

The roots of the second-order polynomial is:

$x_(1) \approx 21.080\,ft$ and $x_(2) \approx -41.081\,ft$

The only possible root is:

$x \approx 21.080\,ft$

The other dimension of the pool is:

$y = x + 8\,ft$

$y = 21.080\,ft + 8\,ft$

$y = 29.080\,ft$

Related Questions

I have a square with an area that equals 184 cm^2. How do I find the side and put the answer in simplest radical form?
If the ratio of surface areas of 2 similar figures is 144/25 ; What is the ratio of their volumes?Please explain how to solve this also :)
F(x) = 4x - 7 find the range value for a domain value of { -3 }
Which is set to ring whenever the system temperature rises above –10°c. What Fahrenheit value should you write on the label?
Can someone please help me with this attachment below

Select the word that correctly completes the sentence.Every function pairs __________ output value with one input value.
(1 point)
more than one
at least one
exactly one

Answers

Every function pairs exactly one output value with one input value.

the last one because for every functoin pair their is exactly one output value fo the function pair.

Justin wants to buy a new bike that costs $115. He has $40 and plans tosave $15 each week. What is the equation the represents this situation.

Answers

15x+40=115

15x means 15 per week solve for x if you want to know how many weeks 40 is what he has only once

What value completes the square for the expression? x2 - 18x

i got -9

Answers

I hope this helps you

URGENT PLEASE HELP ME WITH THIS MATH QUESTION

Answers

Answer: 90

Step-by-step explanation:

Basically you reflect twice and then rotate it

Answer :

22.5 is the answer

MARK ME AS BRANILIST

Which of the following shows 27/54 written in prime factored form to help in reducing the fraction to simplest form? A. 9x3/9x6
B. 27x1/27x2
C. 3x3x3/3x3x3x2
D. 1/2