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: 64ft

D. Dimensions: width = 12ft & length = 20ft
Perimeter: 32ft

Answers

Answer 1

Answer:

The correct answer is C.

Step-by-step explanation:

Since the Cosmic Pool company's pool's length is 8ft longer than the width, you can immediately rule out choices A and B, since their widths are greater than their lengths by 8, and not vice versa. This leaves choices C and D. The perimeter of a quadrilateral's formula is [tex]2(l+w)[/tex], which means the length plus the width and multiplied by 2. Using this formula, you can infer that the perimeter is [tex]2(20+12)[/tex] = [tex]2*32[/tex] = 64ft, so choice C is the correct answer.


Related Questions

Weight of three books are 23⁄4 kg, 35⁄6 kg and 23⁄8 kg. Find the total weight of all the three books.​

Answers

Answer:

12.54kg

Step-by-step explanation:

(23/4 + 35/6 + 23/8)kg

[tex] = \frac{(23 \times 6) + (35 \times 4) + (23 \times 3)}{24} [/tex]

[tex] = \frac{92 + 140 + 69}{24} [/tex]

= 301/24

= 12.54kg

3. The perimeter of a rectangular plot of land is
148m. If its length is 28m greater than its width,
find the dimensions (length and width) of the land.​

Answers

298

Ojtdboudfbfujdyidniphsuhj63)4745893822*0

Sanjay surveyed 95 students at his school about their favorite class. Of the students surveyed, 19 said their favorite was Spanish. What is the experimental probability that the next student Sanjay talks to will pick Spanish?

Answers

Answer:

0.2 = 20% experimental probability that the next student Sanjay talks to will pick Spanish

Step-by-step explanation:

Probability:

A probability is the number of desired outcomes divided by the number of total outcomes.

It is called experimental when both these number of outcomes come from experiences, from a trial, as is the case in this exercise.

What is the experimental probability that the next student Sanjay talks to will pick Spanish?

19 out of 95. So

p = 19/95 = 0.2

0.2 = 20% experimental probability that the next student Sanjay talks to will pick Spanish

no the correct answer is gonna be 1/5

You have two pitchers and each can contain 600 ml of liquid. One pitcher is one-third full and contains vinegar. The other pitcher is two-fifths full of vinegar. Oil is added to fill each pitcher completely. The contents of each pitcher are poured into one large container. What fraction of the mixture in the large container is vinegar?

Answers

Answer:

answera c

Step-by-step explanation:

A picture 10 feet long is to be centered on a wall that is 14 feet long. How much space is there from the edge of the wall to the picture?

Answers

Answer:

4 feet is left in the wall

Step-by-step explanation:

If something is 1 foot and it’s supposed to be 2 feet, how much space is left? 1 foot, therefore you have to subtract what you want from what you have.

Answer:

2 ft.

Step-by-step explanation:

14 - 10 = 4.

4/2 = 2

You divide beacuse theres space on botrhsides of the painting.

find the volume of the cone. Diameter:14 m, Slant Height:25 m​

Answers

Answer:

1232m^3

Step-by-step explanation:

d = 14m

r = 7m

l = 25m

h = ?

h = root l^2- r^2

h = root 25^2- 7^2

h = root 625- 49

h = root 576

h = 24m

volume of cone = 1/3 pie r^2 h

= 1/3*22/7* 7*7*24

= 22*7*8

= 154*8

= 1232m^3

Answer:

1231.5 m³

Step-by-step explanation:

You have to find the height first.

using the Pythagoras rule,

hypotaneous² = base² + height²

25² = 7² + h²

576 = h²

h = √576

h = 24

Volume of cone = 1/3 π r² h

                           = 1/3 * π* 7² * 24

                           = 1231.5 m³

Find the value of the variables or indicated side length in each isosceles triangle.

Answers

Answer:

x = 9°

y = 39°

Step-by-step explanation:

7x = 63

x = 9°

3y + 63 = 180

3y = 117

y = 39°

which of the following expressions has a coefficient of 10 and a constant of 5
10 + 5x
10+5
10x+5
10-5

Answers

Answer:

sometinng like x^2+ 10x+5

The single number is the constant and the number before the variable(x) is the coefficient

Step-by-step explanation:

When there is no solution when solving a quadratic equation with the quadratic formula, how does it affect the x-intercept of a parabola?

Answers

Answer:

Step-by-step explanation:

it just means that the parabola never touches the x axis is all

Determine if the sequence below is arithmetic or geometric and determine the common difference / ratio in simplest form. 20,10,5

Answers

Answer:

arithmetic, divide by 2

Step-by-step explanation:

Answer:

This is a geometric sequence and the common ratio is equal to 1/2

PLS ANSWER 15 POINTS + BRAINLIEST IF RIGHT!

Tom simplified an expression in three steps, as shown:

x to the power of negative 2 multiplied by y to the power of 4, over y multiplied by x to the power of 4 multiplied by x to the power of 4 multiplied by y to the power of negative 2, the whole to the power of 4

Step 1:

x to the power of 2 multiplied by y to the power of 8, over y to the power of 4 multiplied by x to the power of 8 multiplied by x to the power of 8 multiplied by y to the power of 2

Step 2:

x to the power of 2 multiplied by y to the power of 8, over y to the power of 6 multiplied by x to the power of 16.

Step 3:

x to the power of negative 13 multiplied by y squared


Which is the first incorrect step and why?

Step 1, all the exponents are increased by 4

Step 2, the exponents of the same base are added during multiplication

Step 3, the exponents of the same base are subtracted during division

Step 3, all the exponents are added during division

Answers

Answer:
Step 1, all the exponents are increased by 4


Explanation:
The first incorrect step is Step 1 because you can add exponents during multiplication and subtract exponents during division. Step 3 didn’t happen at all because they subtracted the exponents when dividing

2
What is the value of x in the equation 3
-18?



-56

-52

52

56

Answers

Answer:

sorry

Step-by-step explanation:

plz send full question

Determine the area of the composite figure.​

Answers

Answer:

240

Step-by-step explanation:

Split the firgue into shapes you know

rectangle and Trapezoid

A = bh

A = 10×6

A = 60

A = 1/2h(b+b)

A = 1/2×12(10+20)

A = 6(30)

A = 180

180 + 60 = 240

240

Answer:

420 cm²

Step-by-step explanation:

Area of composite shapes

To calculate the area of a composite shape you must divide the shape into rectangles, triangles, or other shapes you can find the area of and then add the areas back together. You may have to calculate missing lengths before finding the area of some of the shapes. Other composite shapes may have cut-out sections.

Solve

To find the composite area of two or more shapes, simply find the area of each shape and add them together.

So,

18 cm × 20 cm = 360

10 cm × 6 cm = 60

Now, add the results together

360 + 60 = 420

Therefore, the area of the composite figure is 420 cm²

Eric spends 4/5 of his pocket money to buy lunches. The rest of the money he will save. If the amount he saves is $2, how much does he spend buying lunch?

Answers

All you need to do is multiply 2 by 5 and you'll get the answer of 10

4 x ? is close to 105

Answers

Do you have a picture to your problem ?
4 x 25 is close to 105
(4 x 25 = 100)

Jenny has overdrawn her bank account by $48.38. She makes a withdrawal of $10.25 and then makes a deposit of $60. What is the amount of money in Jenny's account after with withdrawal and deposit?

Answers

Over drawn means negative.

So she is at -43.38 then withdraws ( takes out) 10.25

Now her account is at -43.38-10.25 = -53.63

She than adds 60

Her final amount is -53.63 + 60 = $6.37

Answer:

-48.38-10.25= -58.63

-58.63 + 60= 1. 37

Step-by-step explanation:

1. 37

Which is another way to write this number? (3 x 1,000) + (3 x 10) (3 x 1/100) + (3 x 1/1000)

Answers

Answer:

3030.033 is another way to write the number

please answer!
The expression 8x − 4 represents the

cost of 8 pairs of socks Emma bought,

less the $4 coupon she had. Which

property is applied to the expression to

write the equivalent expression

4(2x − 1)? Explain.

Answers

Answer:

Step-by-step explanation:

distributive property

Find AC and BC.

Answers:
14.94
13.46
11.10
10
Please help.

Answers

Step-by-step explanation:

Use Sine rule.

[tex] \frac{ac}{ \sin(b) } = \frac{ab}{ \sin(c) } \\ \frac{ac}{ \sin(90) } = \frac{10}{ \sin(42) } \\ ac \sin(42) = 10 \sin(90) \\ ac = \frac{10 \sin(90) }{ \sin(42) } \\ ac = 14.9 \: units \: (3s.f)[/tex]

Angle A + angle B + angle C = 180 (sum of angles in triangle)

Angle A + 90 + 42 = 180

Angle A + 132 = 180

Angle A = 180 - 132

= 48

[tex] \frac{bc}{ \sin(a) } = \frac{ab}{ \sin(c) } \\ \frac{bc}{ \sin(48) } = \frac{10}{ \sin(42) } \\ bc \sin(42) = 10 \sin(48) \\ bc = \frac{10 \sin(48) }{ \sin(42) } \\ = 11.1units (3sf)[/tex]

Which 2 triangles are similar ​

Answers

Answer:

Triangle A and B

Step-by-step explanation:

The lengths from triangle A is being doubled to make the lengths of triangle B. They also have the same angles.

Help- ;-; i am struggling ;-; I- cant do this--

Answers

Answer:

x is vertical *laying down* y in upward also (x,y) so ifthe first on would be anywhere on the y axis

The weekly average earnings of his drivers in a city is $980 with a standard deviation of $47. Assume that we select a random sample of 81 bus drivers. Compute the standard error of the mean

Answers

Answer: do the math, and after that know the definition of what the mean is and it will help you, its best to understand something.

Step-by-step explanation:

You need a 90% alcohol solution. On hand, you have a 55 mL of a 45% alcohol mixture. You also have 95% alcohol mixture. How much of the 95% mixture will you need to add to obtain the desired solution?

Answers

Answer:

495 milliliters of the 95% mixture are needed.

Step-by-step explanation:

Given that I need a 90% alcohol solution, and on hand I have a 55 ml of a 45% alcohol mixture, and I also have 95% alcohol mixture, to determine how much of the 95% mixture will I need to add to obtain the desired solution, the following calculation must be performed:

55 x 0.45 + 45 x 0.95 = 67.5

25 x 0.45 + 75 x 0.95 = 82.5

15 x 0.45 + 85 x 0.95 = 87.5

10 x 0.45 + 90 x 0.95 = 90

10 = 55

90 = X

90 x 55/10 = X

4,950 / 10 = X

495 = X

Thus, 495 milliliters of the 95% mixture are needed.

y
(0.1)
Find the coordinates of the point (x, y)
shown on the unit circle.
X=?
Y=?

Answers

Answer:

the coordinates of the point of x and y is -1÷ 2 and -√3÷ 2

Step-by-step explanation:

The computation of the coordinates of the point is shown below:

The angle is

= 4π ÷ 3

The radius is 1 unit

Now

x = rcos[tex]\theta[/tex], and y = rsin[tex]\theta[/tex]

Now

x = 1cos(4π ÷ 3) = -1÷ 2

y = 1sin(4π ÷ 3) = -√3÷ 2

hence, the corordinates of the point of x and y is -1÷ 2 and -√3÷ 2

Answer: x= -1/2 y= -root3/2

Step-by-step explanation:

What is the solution of 3+x-2/x-3<_4

Answers

Step-by-step explanation:

3+x-2/x-3<_4

cross multiply

3+x-2<_4(x-3)

3+x-2<_4x-12

1+x<_4x-12

collect like terms

1+12<_4x-x

13<_3x

divide both side by 3

13/3<_×

6.5<_x

help the work hurts meee!!!!!!!!!!!!! and show thee work

Answers

12 in is 1 ft, 5 in is ~0.41 ft, 13 in is ~1.08 ft

16 oz is 1 lb, 9 oz is ~0.56 lbs, 18 oz is ~1.13 lbs

Please help me i dont know what to do

Answers

Answer:

Help you with what?

To test whether or not there is a difference between treatments A, B, and C, a sample of 12 observations has been randomly assigned to the 3 treatments. You are given the results below. Treatment Observation A 20 30 25 33 B 22 26 20 28 C 40 30 28 22 The null hypothesis for this ANOVA problem is

Answers

Answer:

H0 : //μA = μB = μC

Step-by-step explanation:

Given the data:

Treatment | Observation

A | 20 | 30 | 25 | 33

B | 22 | 26 | 20 | 28

C | 40 | 30 | 28 | 22

To test whether there is a difference between the group means of a sample ; the ANOVA test is employed ;

The appropriate hypothesis test:

The alternative hypothesis will habour the notion that there is a difference in sample means while the alternative will be opposite, that is, no difference exists in the sample means for the three treatments :

Null hypothesis ; H0 : μA = μB = μC ;

The alternative hypothesis, takes the opposite of the null ;

H1 : μA ≠ μB ≠ μC (this means that the mean values of the treatments are not the same

The null hypothesis will

John withdrew 1/4 of his savings to use as deposit on a new phone.He had 164.00 in his savings account.How did John withdrew for the deposit on the phone

Answers

Answer:

$41

Step-by-step explanation:

Well he withdrew 1/4 of his savings which is basically 1/4 * 164

hello any one whant to be my freind

Answers

Answer:

sure

Step-by-step explanation:

Answer:

forever and always

Step-by-step explanation:

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