George plans to cover his circular pool for the upcoming winter season. The pool has a diameter of 20 feet and the cover extends 12 inches beyond the edge of the pool. A rope runs along the edge of the cover to secure it in place.

a. What is the area of the pool cover?
b. What is the length of the rope?


You must show all of your work to receive credit

Answers

Answer 1

Answer:

The cover has diameter of:

20 feet + 2*12 inches = 20 feet + 2 feet = 22 feet

a.

Area of the pool cover:

A = πd²/4 = 3.14*22²/4 = 379.94 ft²

b.

The length of the rope:

C = πd = 3.14*22 = 69.08 ft
Answer 2

Answer:

346.19ft65.94ft

Step-by-step explanation:

Add the length of the pool and the extent the pool cover [ 12in = 1ft ] has over the pool.

20 + 2 = 22ft

Part A:

The formula for the area of a circle is πr².

To find the radius just divide by two; 22 / 2 = 11ft

= π(11)²

= 121π

≈ 379.94ft

Part B:

We can use the circumference formula [ dπ ] to find how long the rope is.

= 22(3.14)

= 69.08ft

Best of Luck!


Related Questions

(4x-1)(x^2+3) step by step

Answers

Answer:

4x + x^2 + 3

Step-by-step explanation:

First you are gonna drop the parenthesis. Then you are gonna combine -1 and +3 which gives you +2.

help please!!

angle 1 + angle 2 = ?
angle 7 + angle 8 = ?
angle 1 + angle 6 = ?

Answers

Answer:

angle 1 + angle 2 = ∠DEB

angle 7 + angle 8 = ∠NEG

angle 1 + angle 6 = ∠NEA

edward has $48 to spend at the grocery store. six cases of soda he has $21 left. how much does one case of soda cost? brainly

Answers

Answer: $4.50

Step-by-step explanation:

48-21=27

27 divided by 6= 4.50

Therefore each case costs 4.50

Answer:

$4.50

Step-by-step explanation:

48 - 21

27

divide by 6

4.50

a shea cd player costs $80 last year and $112 this year. what was the percent of increase in its price

Answers

Answer:

40% increase

Step-by-step explanation:

c = final value - initial value

     ------------------------------------

                initial value

112 - 80 = 32

32 / 80 = 0.4

0.4 = 40%

select all the ways that the sun supports life on earth

Answers

Answer:

all of the above

Step-by-step explanation:

Answer:

It gives heat and light on the earth.

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Sofia is driving to Texas. She travels at 70 kilometers per hour for 2 hours, and 63 kilometers per hours for 5 hours. Over 7 hours time period what was sofia's average speed ?

Answers

Answer:

65 kph

Step-by-step explanation:

There were a total of 7 hours. So two hours were at 70 and the other 5 hours at 63: the equation would be: (70+70+63+63+63+63+63)/7=65

write an equation of the line passing through point (3, -1) and perpendicular to y= -x+1​

Answers

am I supposed to do the picture one or the you type

Anthony travels 48 miles by car in the same time it takes him to travel 12 miles on his
bike. His average rate of speed by car is 24 miles per hour faster than his average rate of speed by bike. What is the average rate of speed for both the car and the bike?

Answers

Answer:

Anthony's average speed by car is 32 miles per hour and his average speed by bike is 8 miles per hour.

Step-by-step explanation:

Let the average rate (in miles per hour) at which Anthony travels by car be c and by bike be b.

His average rate of speed by car is 24 miles per hour faster than his average rate of speed on bike. In other words:

[tex]c = b + 24[/tex]

Anthony travels 48 miles by car in the same amount of time it takes him to travel 12 miles by bike.

Recall that distance is given by the rate multiplied by the time t.

Hence, c multiplied by time t equals 48 miles:

[tex]\displaystyle ct = 48[/tex]

Likewise, b multiplied by the same time t equals 12 miles:

[tex]bt = 12[/tex]

Solve. We can multiply the second equation by four:

[tex]4bt = 48[/tex]

Substitute:

[tex]ct = 4bt[/tex]

Divide:

[tex]c = 4b[/tex]

Since c = b + 24:

[tex](b + 24) = 4b[/tex]

Solve for b. Subtract:

[tex]24 = 3b[/tex]

And divide:

[tex]b = 8\text{ miles per hour}[/tex]

Hence, Anthony bikes at an average rate of 8 miles per hour.

Since his average speed by car is 24 miles per hour faster, his average speed by car is 32 miles per hour.

In conclusion, Anthony's average speed by car is 32 miles per hour and his average speed by bike is 8 miles per hour.

PLEASE HELP ME FAST I WILL GIVE 30 POINTS AND BRAINLIEST AND HEART
Questions 10-12
f(x)= 3x-13
g(x)= 2x^2-4x-5
h(x)=4^x-7

10. Find (f - g) (x)
11. Find (f - h) (x)'
12. Find (f + g) (x)

Answers

(f–g)(x)= (3x-13) – (2x²–4x–5)= –2x²+7x-8

(f–h)(x)= (3x-13) – ( 4^x –7) = 3x – 4^x–6

(f+g)(x)= (3x-13) + (2x²–4x–5) = 2x²–x – 18

I hope I helped you^_^

I need help on this problem

Answers

Answer:

x 1 / 2 / 3 / 4 / 5

y -3 / 3 / 11 / 21 / 33

you can figure this put by just putting the equation above in a calculator and replacing all the x's with numbers and press equal the answer is y

example

1^2 + 3(1) -7 = -3

x= 1

y=-3

and you can use those coordinates to graph them

(1,-3) (2,3) (3,11) (4,21) (5,33) and so on

IN NEED OF HELP LIKE ASAP!

Answers

Answer:

Below

Step-by-step explanation:

2^-3 / 2^2 is equal to 1 / 2^5

Write the expression in exponential form

     2^-5 = 2^-5

Set the exponents as equal

-5 = -5

So this is true

Hope this helps! Best of luck <3

The answer is 2^-5
Hope it helps

blue dot located on the number line?

Answers

Answer:

it's 4/5 cause no. of division is 5 and it's on 4 place therefore it's 4/5

Answer:

4/5 is the correct answer

the area of a children’s square playground is 50m squared, what is the exact length of the playground

Answers

Area=50m^2

Let side be a

[tex]\\ \rm\Rrightarrow Area=a^2[/tex]

[tex]\\ \rm\Rrightarrow a^2=50[/tex]

[tex]\\ \rm\Rrightarrow a=\sqrt{50}[/tex]

[tex]\\ \rm\Rrightarrow a=7.1m[/tex]

Answer:

[tex]\displaystyle 5\sqrt{2}\:m.[/tex]

Step-by-step explanation:

Sinse squares are equal in length all around, this formula applies:

[tex]\displaystyle s^2 = A → \sqrt{50} = \sqrt{s^2} \\ \\ 5\sqrt{2} = s[/tex]

Therefore, the length of the playground is [tex]\displaystyle 5\sqrt{2}[/tex] metres.

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[tex]\displaystyle \sqrt{50} → \sqrt{2 \times 25} \\ \\ 5\sqrt{2}[/tex]

Sinse we are dealing with measurements, we only want the NON-NEGATIVE root.

I am joyous to assist you at any time.

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Answers

Answer:

32/3 = 10 2/3

Step-by-step explanation:

Permudahkan 3/5xy × (-25x²y)

Simplify 3/5xy × (-25x²y)

A) -35x³y²
B) -35x²y²
C) -15x³y²
D) -15x²y²​

Answers

Answer:

C) -15x³y²

Step-by-step explanation:

[tex] \frac{3}{5} xy \: \times ( - 25 {x}^{2} y)[/tex]

[tex] = \frac{3}{5} \times ( - 25) \times x \times {x}^{2} \times y \times y[/tex]

[tex] = - 15 \times {x}^{3} \times {y}^{2} [/tex]

[tex] = - 15 {x}^{3} {y}^{2} (ans)[/tex]

the answer is C)!

i hope this helps! ;)

6+ 1 ( 7x17 )-7
im stuck

Answers

Answer:

118

Step-by-step explanation:

6+1(7×17)-7

=6+1(119)-7

=6+119-7

=125-7

=118

Please mark me brainliest.

Answer: 118

Step-by-step explanation:

Given expression

6 + 1 (7 × 17) - 7

Simplify values in the parentheses

=6 + 1 (119) - 7

Simplify by multiplication

=6 + 119 - 7

Simplify by addition/subtraction

=125 - 7

=[tex]\boxed{118}[/tex]

Hope this helps!! :)

Please let me know if you have any questions

. Define opposite numbers.

Answers

Answer:

Opposite numbers are numbers that, when placed on a number line, are the exact same distance away from the 0, but on opposite sides, or in opposite directions. They look the same except for their signs.

this is based off what I know I hope it helps

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Answers

Answer:

the value of x = 61

I hope it's helps you

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Answers

Answer:

7, 11, 15, 19, 23, ... To get the terms in the original sequence, we need to add on 3 to each of the terms in the 4n sequence. Hence, the general formula for the nth term of the original sequence is 4n + 3.

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c. Mr. champing travels 20 km duo East and then 25 km due west. respect to find his position with respect to his starting point. ​

Answers

He will be 5 km west of his starting point

A club has 34 members,and 18 of them are new。If two new members quit the club,what percentage of the remaining people in the club are not new members?

Answers

Answer:

its still 34 bcs there were 18 new members and 2 left they were new not old so we didn't exactly touch the number 34 so yeah hope i'm correct

Step-by-step explanation:

We know that corresponding angles of similar figures are congruent. Based on this example, are corresponding sides of similar figures always congruent?​

Answers

Answer:

no

Step-by-step explanation:

similar figures means that the corresponding angles are congruent and the corresponding sides are similar. this means if ABCD and EFGH are similar, A=E*x, B=F*x, C=G*x, and D=H*x, so they aren't congruent

Factor out the greatest common factor. If the greatest common factor is 1, just retype the
polynomial.
9d^ 2 - 27d^ 5 + 45d^ 3

Answers

Answer:

Below.

Step-by-step explanation:

The GCF of 9 , 27 and 45 = 9.

GCF of the d terms is d^2.

So the GCF of the whole expression is 9d^2.

Factors are 9d^2( 1 - 3d^3 + 5d)

Complete the set of ordered pairs for the relation.

{(x, y): y = 2 |x + 1| and x {-2, -1, 0, 1, 2}}.

(-2, __)

-2
-3
2

Answers

Answer:

Step-by-step explanation:

[tex]U=\{(x,y)\ \zeta\ y=|x+1| \ and\ x \in \{-2,-1,0,1,2\}\ \}\\\\\begin{array}{|c|c|}x&y\\---&---\\-2&2\\-1&0\\0&2\\1 & 4\\2&6\\---&---\\\end{array}\\\\U=\{(-2,2),(-1,0),(0,2),(1,4),(2,6)\}\\[/tex]

Answer:

2 / (-2,2)

Step-by-step explanation:

Solve with steps:
2 cos(x) = square root 3 = 0 0

Answers

i am not pretty sure if this is the correct but try

please help

answer choices

A. (-5, 2)

B. (5, 2)

C. (2, -5)

D (-2, 5)​

Answers

Answer:

The correct choice is option B. (5, 2)

Step-by-step explanation:

The rotation rule of 180° is = (x ,y) -> ( -x , -y) .

Coordinates of C before the rotation are ( -5 , -2) so according to the rule above they will now be = C'( 5 , 2 ) .

Therefore, the ordered pair for C' is (5, 2) after the 180 degrees rotation.

6x+6=-5+3x+17

I need help

Answers

Answer:

Get all the terms with x on the left. Get all the terms without x on the right. Simplify by adding and subtracting the terms without x and adding and subtracting the terms with x. Finally divide to get the value of x.

Step-by-step explanation:

6x+6 =- 5+3x+17

6x+6 -6 =- 5+3x+17 -6

6x = 5+3x+11

6x = 3x + 16

6x - 3x = 3x + 16 -3x

3x = 16

3x / 3 = 16 / 3

x = 15/3 + 1/3

x = 5 1/3

x = 5.33333...

[tex]\frac{\sqrt{a+b} }{\sqrt{a-b} } +\frac{\sqrt{a-b} }{\sqrt{a+b} }[/tex]

Answers

Answer:

[tex]\frac{(a+b)}{a^{2} -b^{2} }[/tex] + [tex]\frac{(a-b)}{a^{2} -b^{2} }[/tex] = [tex]\frac{2a}{a^{2} -b^{2} }[/tex]

Step-by-step explanation:

Step-by-step explanation:

[tex] \frac{ \sqrt{a + b} }{ \sqrt{a - b} } + \frac{ \sqrt{a - b} }{ \sqrt{a + b} } \\ squaring \: on \: both \: sides \\ \frac{a + b}{a - b} + \frac{a - b}{a + b} \\ \frac{(a + b) \times (a + b) + (a - b)(a - b)}{(a - b)(a + b)} \\ \frac{ {(a + b)}^{2} + {(a - b)}^{2} }{ {a}^{2} - {b}^{2} } \\ remaining \: in \: attachment[/tex]

[tex]thank \: you[/tex]

to complete a continuing pattern,identify pattern rule.true or false?​

Answers

Answer:

true

Step-by-step explanation:

please help easy maths gradient thanks so much

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Answer:

Y-2x=8

Y-x=8/2

Yx=4

Maths gradients

Answer:

b

Step-by-step explanation:

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