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The Cosmic Pool company is building a pool in Mary’s back yard. The pool is to be 8ft longer than it is wide and cover 240 square feet of the back yard. Determine both dimensions of the pool and the perimeter.
Group of answer choices

(A) Dimensions: width = 20ft & length = 12ft
Perimeter: 32ft

(B) Dimensions: width = 20ft & length = 12ft
Perimeter: 64ft

(C) Dimensions: width = 12ft & length = 20ft
Perimeter: 32ft

(D) Dimensions: width = 12ft & length = 20ft
Perimeter: 64ft

Answers

Answer 1

Answer:

(D) Dimensions: width = 12ft & length = 20ft / Perimeter: 64ft

Step-by-step explanation:

Let the length be x and width be y.

We have:

x = y + 8Area = 240 ft²

Set equation and solve

xy = 240y(y + 8) = 240y² + 8y = 240y² + 8y + 16 = 256(y + 4)² = 16²y + 4 = 16y = 12 ft

The length is:

x = 12 + 8 = 20 ft

The perimeter is:

P = 2(x + y) = 2(20 + 12) = 2(32) = 64 ft

Correct choice is D

Answer 2

Let they be l and b

l=b+8l-b=8--(1)

And

lb=240

So

(l+b)^2=(l-b)^2+4b=(8)^2+4(240)=64+960=1024l+b=32--(2)

From both equations

2l=40l=20

And.

b=20-8=12ft

Option D


Related Questions

If I had a grade of 81 in a mathematics class and earned a 90 on a TEST grade, what would be the grade then be?

Answers

Answer:

It depends how much percent the test is worth on your grade, and how much test grades you have. It would definitely raise to at least an 83 though.

Let's check

Mark before=81Mark after=90

Total

81+90171

Grade

171/285.5

What’s 1+7+6+8+10-12+5+22-4-12+16

Answers

Answer:

The answer to your question is 47

Step-by-step explanation:

You just add and subtract the question the your answer will be 47. Brainly patrol, stop deleting me.

The answer is 72

Step-by-step explanation:

1+7=8

8+6=14

14+8=22

22+10=32

32+12=44

44+5=49

49+22=70

70-4=66

66-12=56

56+16=72

which ordered pair represents
(fg)(3) on the graph of the combined function?

A. (9,-3)

B. (3,25)

C. (3,5)

D. (9,25)

Answers

b bc b is just the answer

There are 31 passengers split between 3 cars in the Metrolink. How many passengers per car?

Answers

Answer:

10 passengers in every car

One left he choose the car which he want

explanation:

MAY IT HELP U

Answer:

Since the answer is a decimal we have to state that two cars had 11 passangers while one car had 10 passangers.

Step-by-step explanation:

Step 1:  Determine the unit rate

Passangers per car

Passangers / car

(31 passangers) / (3 cars)

10.333 passangers / car

Answer: Since the answer is a decimal we have to state that two cars had 11 passangers while one car had 10 passangers.

The volume, V, of a cylinder is equal to this area base, B, times it’s height h. The diameter of a cylinder is 18 feet and its height is 2.8 feet

Answers

Answer:

what was the importance of the meetings of the second continental Congress quizlet answers

64÷7890 su resultado y lo que sobra plis :/

Answers

Answer:

0.008111533587 o 32/3945​

Step-by-step explanation:

Find the range: 40, 90, 36, 68, 90, 11, 88, 54

Answers

Answer:

79

Step-by-step explanation:

90-11=79

Answer:

79

Step-by-step explanation:

To find the range, subtract the biggest number and the smallest number. In this case, it would be 90-11 which is 79.

divide 100 in the ratio 2:3.​

Answers

100/2+3 = 20
2*20= 40
3*20 = 60

Which phrase best describes the translation from the graph y = 2(x - 15)2 + 3 to the graph of y = 2(x - 11)2 + 3?

4 units to the left
4 units to the right
8 units to the left
8 units to the right

Answers

What change has been caused?

y=2(x-15)²+3y=2(x-15+4)²+3y=2(x-11)²+3

Change in x (+4)

Means

translation is 4units left

Option A

Answer:

translate 4 to the left

Step-by-step explanation:

ED 2022

The following graph shows the feasible region for which system of inequalities?

Answers

[tex]\bold{ANSWER:}[/tex]
3RD OPTION

[tex]\bold{EXPLANATIONS:}[/tex]

The feasible region which is shown is the graph of is of the solution of  inequalities y<4,x>=0,x<4 and y>=1. which is option C.

What is inequality?

An inequality is like an equation but is expressed in greater than ,less than, greater than or equal to, less than or equal to signs. It is equated to find the range of variables.

How to graph inequality?

The given graph has three lines showing different inequality.

One which is parallel to x axis and present at y=4 is doted and because the region from this line is towards origin so the sign between y and 4 is of < sign and we don't use equal to sign as it is doted. The inequality will be y<4

Other line is also parallel to x axis at y=1 but it is not doted and the region shaded is away from the line and origin so we use > than sign and equal to sign. The inequality will be y>-1.

The solution lies in first quadrant so x>=0.

One line is parallel to y-axis at x=4 and because the solution is towards origin so we will use <=0 sign as it is not dotted also.

Hence the inequalities are y<4,x>=0<x<4, y>1.

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Given that k // I, identify the congruent angles in the
triangles.
212
v
m
22
v
23

Answers

V 23 is the correct answer

Philippe went to the farmer's market and spent $2.35 on apples, $1.85 on bananas, and $3.10 on blueberries. How much did Phillipe spend in total? (3 points) a $7.30 b $7.55 c $8.30 d $8.55

Answers

Answer:

a. $7.30

Step-by-step explanation:

2.35 + 1.85 + 3.10 = 7.30

-5x-15+25x-30


Help me please

Answers

Answer:

[tex]\boxed{\sf{20x-45}}[/tex]

Step-by-step explanation:

To solve this problem, all you have to do is isolate the x from one side of the equation.

-5x-15+25x-30

First, you have to combine like terms.

→ -5x+25x-15-30

Then, you subtract the numbers from left to right.

→ -15-30=-45

Rewrite the problem down.

→ -5x+25x-45

By similar, add to elements.

→ -5x+25x=20x

Rewrite the problem down.

⇒ 20x-45

Therefore, the correct answer is 20x-45.

I hope this helps you! Let me know if my answer is wrong or not.

Answer:

20x - 45

Step-by-step explanation:

Start by grouping like terms ( -5x and 25x) , ( -15 and -30):

= -5x + 25x - 15 - 30

Subtract the numbers: -15 -30 = -45

= -5x + 25x - 45

Combine like terms ( 5x and 25x):

= 20x - 45

Find the perimeter of each figure.
6 cm
2 cm
2 cm
6 cm

Answers

Answer:

Assuming that you are listing the length of each side of the figure, we can add the values together.  The perimeter is 16 cm.

Step-by-step explanation:

6+2+2+6=16 cm

dr. orchid has 9 paintings she wants to hang side by side on her wall. (a) in how many ways can she arrange all 9 paintings? show your work. (b) if she only wants to display 4 of the paintings, in how many ways can she choose the paintings she wishes to display? show your work.​

Answers

She can arrange the 9 paintings in 362,880 different ways, and she can select 126 different combinations of 4.

In how many ways can she display the 9 paintings?For the first position, she has 9 options.For the second position, she has 8 options (one is already taken).

And so on for the rest of the positions.

The total number of different combinations is equal to the product between the numbers of options:

C = 9*8*7*6*5*4*3*2*1 = 9! = 362,880

b) This will be given by the combinations of 4 out of 9, or:

C(9, 4), where:

[tex]C(9, 4) = \frac{9!}{(9 - 4)!*4!} = \frac{9*8*7*6}{4*3*2*1} = 126[/tex]

She can select 126 different combinations of 4 paintings.

If you want to learn about combinations:

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when you reverse the digits in a certain two-digit number you increase its value by 45. Find the number if the sum of its digits is 13​

Answers

The answer is 58.

First, we need to find "x", being the number.

13+45=58X=58

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

How did we get 58 though?----------Steps---------Add 3+53+5=8Then add 1+41+4=5

Therefore, the answer is 58.

X=58

Hope this heIps!

If this helped...

Give it a good ratingGive it a thanksAnd maybe brainliest!-------------------------------------------------~*This has been*~

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At noon, there are 700 juniors and 1,100 seniors at a college fair. After 12:00 p.m., 20 juniors arrive every 15 minutes and 45 seniors leave every 15 minutes.

What is the ratio of juniors to seniors at 2:00 p.m. in fraction form?

Answers

The ratio of juniors to seniors at 2:00 p.m. in fractional form is 43 / 37

What is ratio?

Ratio is a term that is used to compare two or more numbers.

Therefore,

At 12 pm(noon) there are 700 juniors and 1100 seniors at the college fair. After 12:00 pm 20 juniors arrive every 15 minutes and 45 seniors leave every 15 minutes. Therefore,

The Junior population at 2:00 pm is as follows;

12 pm to 2pm is 120 minutes

Then, 120 / 15 = 8

20 × 8 = 160 students

The junior student increased by 120 by 2pm.

The Senior population at 2:00 pm is as follows;

45 × 8 = 360 students

360 senior student left by 2 pm.

Therefore,

Junior student by 2pm = 700 + 160 = 860 students

Senior student by 2 pm  = 110 - 360 = 740 students

The ratio of juniors to seniors at 2:00 p.m. in fraction form is 860 / 740 = 43 / 37

learn more on ratio here: https://brainly.com/question/20331008

Find the area of the composite figure.

A: 96.75 units2
B: 112.5 units2
C: 139.5 units2
D: 192

Answers

The area of the composite figure from the image attached is 112.5 units²

What is the area of a composite figure?

The area of a composite figure refers to the sum total of all the areas of the shapes in that composite figure. This can be done by first identifying the shapes in that composite figure, then finding each area, followed by the addition of all the areas to determine the area of the composite figure.

From the given figure; we can break it down into:

A parallelogramA rectangleA triangle

The area of a parallelogram = b × h

where;

b & h refers to the length of the two opposite diagonal lines.

The area of a parallelogram =  9 × 6

The area of a parallelogram = 54 units²

The area of a rectangle = Length × breadth

The area of a rectangle = (9 × 3) units²

The area of a rectangle = 27 units²

The area of the triangle [tex]\mathbf{=\dfrac{1}{2}\times b \times h}[/tex]

where;

Base = b Height = h

The area of the triangle [tex]\mathbf{=\dfrac{1}{2}\times b \times h}[/tex]

The area of the triangle [tex]\mathbf{=\dfrac{1}{2}\times 9 \times 7}[/tex]

The area of the triangle [tex]\mathbf{= 31.5 units^2}[/tex]

Therefore, the area of the composite figure is:

= 54 + 27 + 31.5

= 112.5 units²

Learn more about composite figures here:

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Fill in the table using this function rule

y=5+4x

please help like u don’t know how many times I’ve posted this :,)

Answers

hello!

Plug in the values of x and solve for y:-

y=5+4x

y=5+4(4)

y=5+16

y=21

________________________________

y=5+4x

y=5+5(5)

y=5+20

y=25

_________________________________

y=5+4x

y=5+4(8)

y=5+32

y=37

___________________________________

y=5+4x

y=5+4(10)

y=5+40

y=45

__________________________________

note:-

Hope everything is clear; if you need any clarification/explanation, kindly let me know, and I will comment and/or edit my answer :)

Answer:

see explanation

Step-by-step explanation:

substitute the values of x from the table into the rule and evaluate for y

x = 4 → y = 5 + 4(4) = 5 + 16 = 21

x = 5 → y = 5 + 4(5) = 5 + 20 = 25

x = 8 → y = 5 + 4(8) = 5 + 32 = 37

x = 10 → y = 5 + 4(10) = 5 + 40 = 45

then

     x   y

    --------

    4   21

    5   27

    8   37

   10   45

In the following expression, 6 and -6 are like terms.

6- 6 + 8a

a) True
b) False

Answers

Answer:

no there not

Step-by-step explanation:

6 and 6 are like terms because they have no negative sign but -6 and -6 are like terms because they have a negative sign

Spencer cut a square cake vertically to make two rectangle slices. Each rectangle had a perimeter of 27 inches. How long is each side of the original square cake?Solve on paper.Each side of the original square cake is 9 in. What is the area of the original square cake?

Answers

Answer:

81 square inches. square have equal length for all sides area for square is any side times another side so 9x9=81

To buy an article marked Rs. 20,000, we get a discount of 15% and have to pay the value added tax (VAT) at the rate of 13%. How much value added tax amount we have to pay to buy that article ? ​

Answers

Answer:

Based on the given conditions, formulate:: 13%×20000×(1−15%)

Calculate the sum or difference: 0.13×20000×0.85

Calculate the product or quotient: 2210

PLEASE HELP !! #24 & #26

Answers

Answer:

Step-by-step explanation:

Sum of exterior angles of any Polygon = 360°

23.  x + 65 + 106 + 78 = 360

                    x  + 249   = 360    

{To find the value of x, subtract 249 from both sides}

                               x    = 360 - 249

                                  x = 111°

_________________________________________

24.  x + x + 59 + 48 + 50 + 39 + 58 = 360

                                       2x + 254   = 360

                                                    2x = 360 - 254

                                                    2x = 106

                                                       x = 106 ÷ 2

                                                       x = 53°

____________________________________________

25. 2x + 3x + 44 +85 + 71 = 360

                         5x + 200  = 360

                                    5x  = 360 - 200

                                     5x = 160

                                       x = 160 ÷ 5

                                       x = 32°

_______________________________________________

26.  x+ 2x + 77 + 40 + 45 = 360

                          3x +  162 = 360

                                    3x  = 360 - 162

                                    3x  = 198

                                      x = 198 ÷ 3

                                     x = 66°

Is the following shape a rectangle? How do you know?

Answers

Answer:

B.Yes,the adjacent sides are perpendicular,and the opposite sides are parallel

Answer:

B. Yes, the opposite sides are perpedicular, and the opposite sides are parallel

Step-by-step explanation:

This is because for a rectangle to be a rectangle, it has to have four sides whose opposite sides are equal (so parallel) and adjacent sides meets at 90° (so perpendicular), both of which this shape is shown to be.

Hope this helps. If you have any further questions, let me know!

- profparis

What is the volume of a cone in cubic inches with a radius of 2 inches and a height of 3 inches use 3.14 for pie round your answers to the nearest hundredth

Answers

radius r = 2 in

height h = 3 in

slant height s = 3.60555128 in

volume V = 12.5663706 in3

lateral surface area L = 22.6543468 in2

base surface area B = 12.5663706 in2

total surface area A = 35.2207174 in2

In Terms of Pi π

volume V = 4 π in3

lateral surface area L = 7.21110255 π in2

base surface area B = 4 π in2

total surface area A = 11.2111026 π in2

Researchers used two footballs of the same size to examine the effect of helium on kicking distance. One football was filled with air, and the other was filled with helium. Eleven people participated in the study. Each person kicked the football filled with air and the football filled with helium, and the kicking distances, in yards, were recorded. The football that was kicked first was determined by the flip of a fair coin, and the people did not know which football was filled with air and which was filled with helium. What type of study was conducted by the researchers and, of the following, which is the appropriate t-interval for inference?.

Answers

For the study conducted by the researchers,

The type of study that was conducted is a matched-pairs designThe appropriate t-interval for inference is a t-interval for a mean difference

How to determine the type of study?

From the question, we have the following highlights:

One football was filled with air (the control group)The other was filled with helium (the experimental group)

When a study used a control group and an experimental group, then such study is a matched-pairs design.

How to determine the appropriate t-interval for inference?

The appropriate t-interval for inference for a matched-pairs design is the  t-interval for a mean difference

Read more about matched-pairs design at:

https://brainly.com/question/16448112

find the length of the missing side.

1) 52 cm
2) 42cm
3) 25 cm
4) 48 cm

Answers

Answer:

52 cm

Step-by-step explanation:

Use the pythagorean theorem to solve for missing sides in a right triangle.

20²+48²= missing side

20²+48²=2704

Take the square root of 2704 to get the missing side.

[tex] \sqrt{2704 } = 52[/tex]

Answer :

52 cm

Explanation :

This is Right Angled Triangle.

Solution :

We'll solve this using the Pythagorean Theorem.

where,

AB (20 cm) is the perpendicular

BC (48 cm) is the Base.

AC is the Hypotenuse.

We know that,

[tex]{\longrightarrow \bf \qquad (AC) {}^{2} = (AB) {}^{2} +( BC) {}^{2} } \\ \\ [/tex]

Now, we will substitute the given values in the formula :

[tex]{\longrightarrow \sf \qquad (AC) {}^{2} = (20) {}^{2} +( 48) {}^{2} } \\ \\ [/tex]

We know that, (20)² = 400 and (48)² = 2304. So,

[tex]{\longrightarrow \sf \qquad (AC) {}^{2} = 400 + 2304 } \\ \\ [/tex]

Now, adding 400 and 2304 we get :

[tex]{\longrightarrow \sf \qquad (AC) {}^{2} = 2704 } \\ \\ [/tex]

Now, we'll take the square root of both sides to remove the square from AC :

[tex]{\longrightarrow \sf \qquad \sqrt{ (AC) {}^{2}} = \sqrt{2704} } \\ \\ [/tex]

When we take the square root of (AC)² , it becomes AC,

[tex]{\longrightarrow \sf \qquad AC = \sqrt{2704} } \\ \\ [/tex]

We know that, square root of 2704 is 52 .

[tex]{\longrightarrow \sf{\pmb{ \qquad AC = 52 }}} \\ \\ [/tex]

So,

The measure of the missing side (AC) is 52 cm .

The circumference of a circle is 8 3.14cm. What is the DIAMETER of the circle?
A) 2 cm
B) 4 cm
96 cm
D) 8 cm
E) 16 cm

Answers

Circumference = pi x diameter

Given circumference: 8pi

Diameter = 8

Correct answer: D) 8 cm

Hope this helps!

At the buffet luncheon guests could choose one meat, one side and one salad. If there were 3 different meats, 7 sides and 4 salads, how many possible combinations would there be?​

Answers

Answer:

i believe that its 84

Step-by-step explanation:

giving point and brainliest​

Answers

Answer:

18

Step-by-step explanation:

Given expression:

[tex]2 \times (6 \div 2 + 8) - 4[/tex]

Step-1: Simplify the expression in the parenthesis using PEMDAS

Expression obtained                        Operation of PEMDAS

 [tex]\implies 2 \times (6 \div 2 + 8) - 4[/tex]                                  

 [tex]\implies 2 \times (3 + 8) - 4[/tex]                                  D - Division

 [tex]\implies 2 \times (11) - 4[/tex]                                      A - Addition

 [tex]\implies2 \times 11 - 4[/tex]

Step-2: Simplify the expression obtained from step-1

Expression obtained                        Operation of PEMDAS

 [tex]\implies 2 \times 11 - 4[/tex]

 [tex]\implies 22 - 4[/tex]                                          M - Multiplication

 [tex]\implies 18[/tex]                                                  S - Subtraction

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