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expeople1 [14]
2 years ago
8

A swimming pool is shaped like the figure below. Each end is a semicircle, and the length and

Mathematics
1 answer:
Mnenie [13.5K]2 years ago
7 0

The area of the border around the pool is determined as 145.97 ft².

<h3>Area of the pool</h3>

Diameter of the circle = 20 ft

Radius of the circle = 10 ft

<h3>Area of circular portion:</h3>

Area = π(10²) = 314.16 ft²

<h3>Area of rectangular portion</h3>

A = 40 ft x 20 ft = 800 ft²

Pool area = 314.16 ft² + 800 ft² = 1,114.16 ft²

<h3>Overall area which include 1 foot border</h3>

Diameter of the circle = 20 ft + 1ft + 1 ft = 22 ft

Radius of the circle = 11 ft

<h3>Area of circular portion:</h3>

A = π(11²) = 380.13 ft²

<h3>Area of rectangular portion:</h3>

A = 22 ft x 40 ft = 880 ft²

Total area = 880 ft² + 380.13 ft² = 1,260.13 ft²

<h3>Area of the border</h3>

Area of border = Total area - pool area

Area of border = 1,260.13 ft² - 1,114.16 ft²

Area of border = 145.97 ft²

Thus, the area of the border around the pool is determined as 145.97 ft².

Learn more about area of circle here: brainly.com/question/12269818

#SPJ1

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x - y = - 11   .............( 1 )

y + 7 = - 2x ...............( 2 )

from equation ( 1 )

x - y = - 11

x   = -11 + y  ...........( 3)      

putting x in equation  ( 2 )

y + 7 = - 2 x  

y  + 7 = -2 ( -11 + y )             y + 7 = 22 - 2 y                       y + 2 y =22 - 7            

3 y = 15                  y = 15 / 3

putting value of y in equation 3

x   = -11+ ( 13 /5 )                       x = -33 /3 + 15 / 3         ( l.c.m)

x  = -17 / 5                      

check      

x = -11 + y

- 17 / 5 = -11 + 13 / 5

-17 /5   = -17 / 5

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3 years ago
When f(x)=-3, what is x?
Anna35 [415]

Answer:

Step-by-step explanation:

For example, if f(x)   =  2x   + 7

      then         f(-3) = 2(-3) + 7

                     f(-3) = 1

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3 years ago
Given rectangle QUAD, if QU = 13, find DA.
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Step-by-step explanation:

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Read 2 more answers
441 is 63% of what number
blagie [28]
<span>Question: 441 is 63% of what number?
=> 63% = 63% / 100% = 0.63
Since 441 is the 63% let’s find the value of 37% to get the toal of 100%
Solution, follow the formula
=> 0.63x = 441 – where x will be the value of the missing 100% value.
=> x = 441 / 0.63
=> x = 700 – the 100% value that have 441 as 63%
let’s check if we have the correct answer:
=> 700 * .63 = 441 </span>



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4 years ago
An item that cost $5.50 is marked up %60. What is the new price of the item after the markup? Show work please​
r-ruslan [8.4K]

Answer:

$8.80

Step-by-step explanation:

In order to find the new price, you need to add 60% of the original price (5.50) to the original price. You have two options:

1) multiply $5.50*0.6 to get 60% of the original price. You would get $3.30. Then add $3.30+$5.50, which equals $8.80. This way takes longer but shows you all the steps.

2) The shorter way is to simply multiply $5.50*1.6, which also equals $8.80. This works because the "1" automatically adds the 5.50 to 60% of the original price, this way you don't have to multiply then add.

If you don't understand how the second way works or your teacher taught you #1, just do it the first way.

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