Kayla's backyard is a rectangle with dimensions of 18 feet by 22 feet. If she covers the ground with a circular hot tub with a diameter of 14 feet, what is the approximate area of the ground, in square feet, that remains exposed?

Answers

Answer 1
Backyard area = 18 x 22 = 396ft²

Area of a circle = pi x radius² (radius = diameter/2)
Area of circular hot tub = pi x 7² = 153.938ft²

396 - 153.938 = 242.06ft²

Related Questions

The record for the most rolls of wrapping paper sold for the school fundraiser is 593. Let w be the number of rolls of wrapping paper sold. Tell if the equation or inequality represents a number that would beat the school record.

Answers

Answer:

w ≤ 593

Step-by-step explanation:

Missing option;

w ≥ 593

w > 593

w ≤ 593

593 < w

Explanation:

w ≥ 593    No

Number of wrapping paper sold never be more than 593.

w > 593    no

Number of wrapping paper sold never be more than 593.

w ≤ 593  yes

Number of wrapping paper sold will be equal or less than 593.

Which equation describes the line that contains (1,5) and has a slope of 2?
A. y= 2x - 3
B. y = 2x - 9
C. y = 2x + 9
D. y = 2x + 3

Answers

Answer:

D. y = 2x + 3

Step-by-step explanation:

[tex]y - 5 = 2(x - 1) \\ \\ y - 5 = 2x - 2 \\ \\ y = 2x - 2 + 5 \\ \\ y = 2x + 3[/tex]

Which phrase should be inserted on the line to correctly compare the two fractions? Use the models to help.

Four-fifths blank line StartFraction 16 Over 20 EndFraction

Four-fifths

A model has 4 shaded parts and 1 unshaded part.
StartFraction 16 Over 20 EndFraction
A model has 16 shaded parts and 4 unshaded parts.
1. is greater than
2. cannot be compared to
3. is less than
4. is equal to

Answers

Answer:

it is equal to it

Step-by-step explanation:

4 times four is sixteen four times five means that it if four fifths

Answer:

4

Step-by-step explanation:

Did it on edgeunity! Gl

What is the equation of this line?
y= 4x
y= 1/4x
y = -4x
y=-1/4x​

Answers

Y=4/1x
Hope this helps



What percentage of take-home pay is spent on housing, property tax, and insurance? (round to the nearest whole percent)
31%
45%
47%
57%​

Answers

Take Home Pay = 5388

Housing, Property Tax and Insurance= 1665

(1665 / 5388) X 100 = 30.9 % (31%).

The answer is 31%

Answer:

31%

Step-by-step explanation:Ive got no idea why, I just know the answer lol.

BRAINLIEST HELP

When Alice returns from America, she has $90 left. If she changes this back to pounds

how many pounds will she get?

Give your answer to 2 decimal places.


Exchange rate= 1 GBP= 1.5 USD

Answers

Answer:

£60

Please vote for Brainliest and I hope this helps!

Steven and Brittney are both starting lawn mowing businesses to save money to buy a dog. Steven charges $20 a yard and $6 an hour. Brittney charges $28 a yard and $5 an hour. How many hours will they need to work to have the same amount of money. If the cost of the dog is $300, who will be able to buy it first?

a. 8hrs to have the same amount of money
b.18 hours to have the same amount of money
c. Brittany will be able to buy the dog first
d. Steven will be able to buy the dog first

Answers

Answer:

d

Step-by-step explanation:

18 always still have the same amount of money

HEEELLLLPPP!!!! PLZZZZ!!!! THANK U!!!
(5 screenshots included)

Answers

1.=(2/3,0) 2.=(-3,0) 3.=-10 4.=need a graphing calc 5.=need a graphing calc

trieste dove to a record depth of 37,800 feet. the record set previously on january 7th of the same year was 13800 feet less than the dive on january 23rd. what was the record set on january 7th in relation to the sea level

Answers

The record set on January 7th in relation to the sea level is calculated as [tex]24,000[/tex] feet.

Non-real numbers are what?

The term "not real" or "non-real" refers to imaginary and unreal numbers. The number line cannot display non-real numbers. A "actual" and practical idea, infinity. Infinity, on the other hand, is not a number on the real number line since it is not a part of the mathematically defined set of "real numbers." When measuring continuously fluctuating quantities like size and time, real numbers are utilized.

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Sanic ran 420 meters in 21 seconds what was his speed?


Yes this is a real question please help

Answers

Answer:

the speed is 20 m/s

Step-by-step explanation:

The computation of the speed is as follows

As we know that

Speed = Distance ÷ time

where,

Distance is 420 meters

And, the time is 21 seconds

So, the speed is

= 420 ÷ 21

= 20 m/s

hence, the speed is 20 m/s

We simply applied the above formula so that the correct value could come

And, the same is to be considered

Which of the following expressions represents the distance from -11 to 0 on a number line?

|-11|
0 - 11
11 × 0
11 - 11

Answers

Answer:

I-11I

Step-by-step explanation:

To find the distance between two numbers, find the absolute value of each number and add them together.

I-11I = 11

I0I = 0

11 + 0 = 11

Answer:

Hope this helps!

Step-by-step explanation:

The answer is 11. To find the distance between two numbers, find the absolute value of each number and add them together.

When one thing is ten times as large as another, it is said to be an order of magnitude larger. A hundred times larger is two orders of magnitude. A thousand is three orders of magnitude. By how many orders of magnitude is the empire state building taller than a chair seat? enter an integer.

Answers

The empire state building is taller than a chair seat by three orders of magnitude.

What are orders of magnitude?

Orders of magnitude refer to the classification based on the sizes of two objects against each other.

Orders of magnitude range in the power of 10 or 10ⁿ.

Data and Calculations:

Orders of Magnitude:

10x = 1 order of magnitude

100x = 2nd order of magnitude

1000x = 3rd order of magnitude

Empire State Building = 1,500 feet

Chair seat = 1.5 feet

Order of magnitude = 1,000x (1,500/1.5)

Thus, the Empire State Building is about a thousand times taller than a chair seat or three orders of magnitude.

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1 and 2 pls I will give brainiest if right

Answers

Answer:

1.b

2.d

Step-by-step explanation:

i think

C and A please trust me

Which equation described a line parallel to the line that connects points (-8 ,9) and (3, -4)?

Answers

Answer:

y = (-13/11)x - 5/11

Step-by-step explanation:

Where's the list of equations from which you're to choose?

The line that connects points (-8 ,9) and (3, -4) has the following slope:

          9 - (-4)

m = ----------------- = -13/11

          -8 - 3

Then the new line with this slope is y = (-13/11)x + c

and because (-8, 9) satisfies this equation, 9 = (-13/11)(-8) + c, and we need to calculate c from this.                                 9 = 104/11 + c, or

                                                                        -c = 104/11 - 99/11, or - 5/11

Then the desired equation is y = (-13/11)x - 5/11


Karen performs a transformation on parallelogram ABCD that is plotted on a coordinate grid to form parallelogram A'B'C'D'. The image of
each point is shown in the table below.
Image
Original
Point
| A(-4,-1)
B (-7,-6)
C (-14, -6)
D(-11, -1)
(1.-4)
(6.-7)
(6.-14)
(1.-11)
Which best describes the transformation Karen performed?
A.reflection over the y-axis
B.dilation of scale factor
-1/4
C.counterclockwise rotation of 90 degrees about origin
D.translation of 5 units to the right and 3 units down

Answers

Answer:

its c

Step-by-step explanation:

took the test

Karen performed a transformation of (C) counterclockwise rotation of 90 degrees about origin

Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.

If a point A(x, y) is rotated 90° counterclockwise about the origin, the new point is at A'(-y, x).

Parallelogram ABCD has vertices at A(-4,-1) , B (-7,-6) , C (-14, -6) , D(-11, -1), if it is rotated 90° counterclockwise about the origin, the new point would be at A'(1.-4) , B'(6.-7),  C'(6.-14) , D'(1.-11)

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across which axis was point A reflected​

Answers

Answer:

When point A with coordinates (0, -1) is reflected across the x-axis and mapped onto point A', the coordinates of A' will be (0, 1).

i.e A'(0, 1) is the image of point A after a reflection.

Hence, point A is reflected across the x-axis.

Step-by-step explanation:

When we reflect a point A across the x-axis, the value of 'y' gets negated, but the value of 'x' remains unchanged.

In other words, when point P with coordinates (x, y) is reflected across the x-axis and mapped onto point P', the coordinates of P' will be (x, -y).

Thus, the rule is:

P(x, y) → P'(x, -y)

Thus, when point A with coordinates (0, -1) is reflected across the x-axis and mapped onto point A', the coordinates of A' will be (0, 1).

i.e A'(0, 1) is the image of point A after a reflection.

Hence, point A is reflected across the x-axis.

The thickness of the mats used in the rings, parallel bars, and vault events should be 8.25 inches, give or take 0.75 inches. Write an absolute value inequality describing the range of acceptable mat thickness

Answers

Answer:

1x-7.875 *is les than symbol* 0.375

Step-by-step explanation:

help me under stand this please

Answers

Step-by-step explanation:

-and -are + and + and - are -

u can do it

Drag and drop the correct angle measures onto the diagram!!! HELP THIS IS URGENT

Answers

I think this is the answer for your problem.

A produce store offers red and green apples. In one morning they sold 52 apples total .If 20 of the apples they sold were red , what is the ratio of green apples sold to red apples sold?

Answers

If the store sold 52 apples total and 20 of the  apples they sold were red, then the ratio of green apples sold to red apples sold is 8:5

Given,

The total number of apples sold in the morning= 52 apples

Number of red apples sold = 20 apples

Number of green apples sold = Total number of apples sold -  Number or red apples sold

Then,

Number of green apples sold = 52-20=32

The ratio of green apples sold to red apples sold = 32:20

We have find the simplest form

[tex]32:20= \frac{32}{20}[/tex]

Then, divide both numerator and denominator by 4

[tex]\frac{32}{20}=\frac{8}{5}[/tex]

The ratio = 8:5

Hence, if the store sold 52 apples total and 20 of the  apples they sold were red, then the ratio of green apples sold to red apples sold is 8:5

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One winter day, the outside temperature, y, never dropped below −1°. The inside of a car was always warmer than the temperature outside by at least 4°. Which graph of a system of inequalities represents this scenario?

On a coordinate plane, 2 straight lines are shown. The first solid line is horizontal to the y-axis at y = negative 1. Everything above the line is shaded. The second dashed line has a positive slope and goes through (0, negative 4) and (2, negative 2). Everything below and to the right of the line is shaded.

On a coordinate plane, 2 straight lines are shown. The first solid line is horizontal to the y-axis at y = negative 1. Everything below the line is shaded. The second dashed line has a positive slope and goes through (0, negative 4) and (2, negative 2). Everything above and to the left of the line is shaded.

On a coordinate plane, 2 straight lines are shown. The first solid line is horizontal to the y-axis at y = negative 1. Everything above the line is shaded. The second solid line has a positive slope and goes through (0, negative 4) and (4, 0). Everything below and to the right of the line is shaded.

On a coordinate plane, 2 straight lines are shown. The first solid line is horizontal to the y-axis at y = negative 1. Everything below the line is shaded. The second solid line has a positive slope and goes through (0, negative 4) and (4, 0). Everything above and to the left of the line is shaded.

Answers

The graph of a system of inequalities that represents this scenario will be A. On a coordinate plane, 2 straight lines are shown. The first solid line is horizontal to the y-axis at y = negative 1. Everything above the line is shaded. The second dashed line has a positive slope and goes through (0, negative 4) and (2, negative 2). Everything below and to the right of the line is shaded.

What is a inequality?

In Algebra, an inequality is a mathematical statement that uses the inequality symbol to illustrate the relationship between two expressions.

On one day, x, the outside temperature never fell below 1°. A automobile was always at least 4 degrees warmer inside than it was outdoors.

y -1 is the inequality for the first line.

Y > x + 4 is the inequality that represents the second line.

The darkened area is therefore above the first line, which is a solid horizontal line.

The shaded area lies above and to the left of the second line, which has a broken line and a positive slope.

Therefore, the correct option is A.

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Bruce wants to make 50 ml of an alcohol solution with a 12% concentration. He has a 10% alcohol solution and a 15% alcohol solution. The equation 0.10x + 0.15(50 – x) = 0.12(50) can be used to find the amount of 10% alcohol solution Bruce should use.

Answers

The amount of 10% alcohol solution in 50 ml alcohol solution is 30ml and amount 15% alcohol solution is 20ml.

In the given question

Bruce wants to make 50ml solution with 12 % concentration.

and he has 10% and 15% alcohol solution for that .

Let the amount of 10% alcohol solution = x

Let the amount of 15% alcohol solution = y

Given that x+y=50    ...(i)

According to the question the equation to find the 10% solution will be

0.10x + 0.15(50 – x) = 0.12(50)

Solving further we get

0.10x + 7.5 - 0.15x = 6

-0.05x + 7.5 = 6

-0.05x = 6 - 7.5

-0.05x = -1.5

x = -1.5/-0.05

x=30

So , 10% solution is 30 ml

Substituting the value of x=30 in equation (i)  we get

30 + y = 50

y = 20

So , 15% solution is 20 ml

Therefore , the amount of 10% alcohol solution in 50 ml solution is 30ml and amount 15% alcohol solution is 20ml.

The given question is incomplete , the complete question is

Bruce wants to make 50 ml of an alcohol solution with a 12% concentration. He has a 10% alcohol solution and a 15% alcohol solution. The equation 0.10x + 0.15(50 – x) = 0.12(50) can be used to find the amount of 10% alcohol solution Bruce should use.

How much of the 10% alcohol solution should Bruce use?

How much of the 15% alcohol solution should Bruce use?

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OKAY, PEOPLE BIG NEWS AS I HAVE ALREADY MADE CLEAR I GOT EXAMS NEXT WEEK!!! I JUST GOT THE UPDATE AND ON MY MATH EXAM AND ITS 31 QUESTIONS FREAKING HARD AND ON THE ENGLISH 45 FREAKIN HARD QUESTIONS!!!! I DONT KNOW THE SPECIFICS ON THE BIOLOGY BUT I KNOW ITS GONNA BE BIG AND HARD!!!! I AM FAILING I REALLLLYYY NEED THISSS PASS RIGHT HERE SO, PEOPLE HERES HOW ITS GONNA GO: WHEN I POST A QUESTION I WILL NEED A CORRECT AND RIGHT ANWSER QUICKLY! I WILL NEED HELP PLEASEEEEEEEEEEEE!!!!!!!!!!!!!!!!!!!!!!!!.


I JUST WANNA PUT THAT OUT THERE FOR HEADS UP

Answers

Answer: wow thats a lot of questions

Step-by-step explanation:

Answer:

I'll try to do my best man, with all of my warnings

Step-by-step explanation:

Which expression is the result of factoring the expression below by taking out its greatest common factor?

Answers

Answer:

A)3(2x²-x+4)

Step-by-step explanation:

compare 5_5.4 by choosing <,>,or =​

Answers

Answer: five is < than 5.4

divide milk and coffee, each person gets the same amount of milk coffee but different proportions, one of them has 1/ 4 cups of coffee and 1/6 of milk, for a total of 8 oz. what is the total number of people?

Answers

The possible number of person is 5.

Linear equation: an equation in which there is only one variable present. It is of the form Ax + B = 0, where A and B are any two real numbers and x is an unknown variable that has only one solution

Let,

The total amount of coffee= c

The total amount of milk = m

Total number of person = p

according to the question, c and m can't be .

Given,

Total amount of milk and coffee is 8 oz.

so,

[tex]\frac{c}{4} +\frac{m}{6} =8\\[/tex]

[tex]\frac{3c+2m}{12} =8[/tex]

So, this is linear equation.

3c+2m=8×12

[tex]$$ \\$3 \mathrm{c}+2 \mathrm{~m}=96$[/tex]

and

[tex]\eq[/tex][tex]c+m=8p[/tex]

2(c+m) = 8p×2

[tex]2c+2m=24p[/tex] ...(2)

By equation 1 and 2

[tex]3c+2m=96\\ 2m=96-3c\\ 2c+2m=16p\\ 2c+96-3c=16p\\96-c=16p\\96=16p+c\\[/tex]

16p and 96 both are divisible by 16

So, let c =16k

Now 3c+2m =96

3(16k) +2m= 96

48k =2m= 96

k can't be 0, otherwise c is 0 and k cannot be 2, otherwise m is 0. Therefore k must be 1,

[tex]48+2m=96\\2m=96-48\\2m=48\\m=\frac{48}{2} \\m=24[/tex]

BY putting m=24 in equation (1)

[tex]3c+2m=96\\3c+2(24)=96\\3c+48=96\\3c=96-48\\3c=48\\c=\frac{48}{3} \\c=16[/tex]

Therefor, the number of person is 5

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4) Alice went to market and bought comics. The table below shows the price for different numbers of comics. Do the numbers in the table represent a proportional relationship? Number of Comics 2 4 Price (Dollars) 6 12 16 24 6 8.​

Answers

Answer:

400

Step-by-step explanation:

EE

Sports its in the game

which of the following lines is parallel to x = 8?
3y=16
x = 7
x =y
y = 8

Answers

Answer:

The only line there that is parallel to x = 8 is x = 7.

the answer is x = 7 :)

Jenny was doing laundry. She folded 10
towels and divided them evenly into p
piles. Which expression represents the
number of towels in each pile?

Answers

10 / p
(10 divided by p)
10 divided by p!!!!!!!!!!!

Can you help me thank you :)

Answers

Answer:

16

Step-by-step explanation:

[tex]\sqrt{121}[/tex] + [tex]\sqrt[3]{125}[/tex]

= 11 + 5

= 16

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