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

Answer:

volume =

[tex] {7}^{2} \times 3.14 \times 2 \times 4[/tex]

Step-by-step explanation:

volume =area of the base circle × height

Answer:

74ft³

Step-by-step explanation:

Okay, so it's basically 3 rectangular figures smashed together so:

We'll do the 2 biggest one's first:

the formula for the volume of a rectangular figure is base x height so we first have to find the base:

4 x 3 = 12

So then we just plug our stuff in here:

12 x 3 = 36

Now there's 2 of these rectangles though so:

36 x 2 = 72

Now we're going to do the one in the middle:

1 x 2 = 2

2 x 1 = 2

Now we add that all together:

72 + 2 = 74

So, the volume of the composite figure is 74ft³

hope this helps:)

Answer:

x and y

Step-by-step explanation:

Those are variables that could be any number. The integers are considered to be coefficients.

Answer:

7 x - 9 + 11 x - 9 = 180

Step-by-step explanation:

For the equation: 7 x - 9 + 11 x - 9 = 180

Value of X is 11

7x - 9 + 11x - 9 = 180

combine values

18x - 18 = 180

18x = 198

18x/18 = 198/18

x = 11

Angle Measures is

7 (11) - 9 = 77-9 = 68 degrees

11 (11) - 9 = 112 degrees

Answer:

b.12/25

c.4/15

d.8/15

e.6/12

2a.15/24=5/8

b.20/40=1/2

Answer:

F. g(x)=f(x)-5

Step-by-step explanation:

Answer:

y=5x+5

Step-by-step explanation:

y-y1=m(x-x1)

y-(-5)=5(x-(-2))

y+5=5(x+2)

y=5x+10-5

y=5x+5

Answer:

the P-value = 0.1977

conclusion: Since the p-value is not small;

we reject null hypothesis

hence, the data does not support claim that more than half of the bathroom scales underestimate weight.

Step-by-step explanation:

 Given the data in the question;

let X represent the number of successes ( the weight is underestimated ) in n independent Bernoulli trials, each with the success probability p

X - Bin( n,p).

so

Null hypothesis             H₀ : p ≤ 0.5

Alternative hypothesis Hₐ : p > 0.5

now, compute np₀ and n( 1 - p₀ )

np₀ = (50)(0.5)

np₀ = 25

n( 1-p₀ ) = (50)(1 - 0.5)

n( 1-p₀ ) = 25

we can see that both values are greater than 10.

∴ the sample proportion is approximately normally distributed;

P" - N ( p₀, [tex]\frac{p_{0}(1-p_0)}{n}[/tex] )

sample proportion p" = 28/50 = 0.56

standard deviation will be;

σ[tex]_{p"[/tex] = √( p₀(1-p₀) / n )

σ[tex]_{p"[/tex] = √( 0.5(1-0.5) / 50 )

σ[tex]_{p"[/tex] = √( 0.25 / 50 )

σ[tex]_{p"[/tex] = 0.07071

Next is the Z-score

z = p" - p₀ / σ[tex]_{p"[/tex]

z =  0.56-0.5 / 0.07071

z = 0.06 / 0.07071

z = 0.85

from table,

the probability that a standard normal random variable takes on a value greater than 0.85 is approximately 0.1977

Therefore, the P-value = 0.1977

conclusion: Since the p-value is not small;

we reject null hypothesis

hence, the data does not support claim that more than half of the bathroom scales underestimate weight.

p = 0.197663

Answer:he can buy at least 7 pairs of socks

Step-by-step explanation:

Answer:

Complementary

Step-by-step explanation:

adding up to 90 degrees

Answer:

5L

Step-by-step explanation:

[tex]\frac{5000mL}{1}*\frac{1L}{1000mL} = 5L[/tex]

Answer:

5L

Step-by-step explanation:

If you are trying to find out how many liters there are in 5000 milliliters then it is 5

Answer:

I think its b. Every 0.81 days the plant grows 0.07 inches.

Step-by-step explanation:

i took the same test on egd.

Answer:

c. Initially, the plant had a height of 0.07 inches.

Step-by-step explanation:

EDGE 2023

Answer:

43

Step-by-step explanation:

The answer should be 43 because if you divide 172 by 4 it gives you 43 so that gives you the answer 172 ÷ 4 = 43.

Answer:

D

Step-by-step explanation:

because 1 is a factor of every number and also three is a factor of 27

Answer:

4x-3

Step-by-step explanation:

Equation of the line that is parallel to y = 4x + 1 and contains the point (1, 1) is y = 4x - 3.

Two lines are said to be parallel if they always maintain the same distance apart. If two lines are drawn so that they could extend into infinity without ever meeting each other, these lines are called parallel. Parallel lines are also called Equidistant lines.

Given

Equation of line y = 4x + 1

Point = (1, 1)

Equation of the line that is parallel to y = 4x + 1 is y=kx + b

Here k =4

y = 4x + b and contains the point (1,1)

Substitute the point (1,1) in y= 4x + b

⇒ 1 = 4(1) + b

⇒ 1 - 4 = b

⇒ b = -3

y = 4x + b

⇒ y = 4x - 3

Equation of the line that is parallel to y = 4x + 1 and contains the point (1, 1) is y = 4x - 3.

Find out more information about equation of line here

https://brainly.com/question/402319

#SPJ2

Answer:

The first one and the fourth one

Step-by-step explanation:

I’m pretty sure that is right

Answer:

A and C in my options below!

Step-by-step explanation:

3^2*3^-6 = 0.0123456790123

A. (3^-2)^2 = 0.0123456790123

B. 2^-12 = 0.000244140625

C. 1/3^4 = 0.0123456790123

D. (3^7)/3^3 = 81

Answer:

B

Step-by-step explanation:

Answer:

f − 1 ( x ) = √ 2 ( x + 8 ) /2 , − √ 2 ( x + 8 ) /2

keep it under whole root  

Step-by-step explanation:

Answer:

Therefore, Cylinder B's surface area is four times greater than Cylinder A's surface area.

Step-by-step explanation:

Surface area of a cylinder = 2πrh+2πr² = 2π(rh+r²)

Cylinder A = 2π(rh+r²)

Cylinder B = 2π((2r)(2h)+(2r)²) = 2π(4rh+4r²)=2π(4(rh+r²))

To find how many times greater Cylinder B's surface area is than Cylinder A's surface area, divide:

[tex]\frac{Cylinder B}{Cylinder A}[/tex]

=2π(4(rh+r²))/2π(rh+r²)

(divide top and bottom by 2π)

=4(rh+r²)/(rh+r²)

(divide top and bottom by (rh+r²))

=4

Therefore, Cylinder B's surface area is four times greater than Cylinder A's surface area.

Answer:

(a)

[tex]f(x) = \left \{ {{5x;\ 0<x\le 5} \atop {5x-5; x > 5}} \right.[/tex]

(b) Rate = 5

(c) Rate = 5

Step-by-step explanation:

Given

The attached graph

Solving (a): The piece-wise function

For the first line

Calculate the slope of the first line

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where

[tex](x_1,y_1) = (0,0)[/tex]

[tex](x_2,y_2) = (5,25)[/tex]

So, the slope is:

[tex]m = \frac{25 - 0}{5 - 0}[/tex]

[tex]m = \frac{25}{5}[/tex]

[tex]m = 5[/tex]

The equation is then calculated as:

[tex]y = m(x - x_1) + y_1[/tex]

Where: [tex]m = 5[/tex] and [tex](x_1,y_1) = (0,0)[/tex]

[tex]y = 5(x - 0) + 0[/tex]

[tex]y = 5(x) + 0[/tex]

[tex]y = 5x[/tex]

So, the function of the first line is:

[tex]f(x) = 5x;\ 0 < x \le 5[/tex]

For the second line

Calculate the slope of the second line

[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]

Where

[tex](x_1,y_1) = (5,20)[/tex]

[tex](x_2,y_2) = (9,40)[/tex]

So, the slope is:

[tex]m = \frac{40 - 20}{9 - 5}[/tex]

[tex]m = \frac{20}{4}[/tex]

[tex]m = 5[/tex]

The equation is then calculated as:

[tex]y = m(x - x_1) + y_1[/tex]

Where: [tex]m = 5[/tex] and [tex](x_1,y_1) = (5,20)[/tex]

[tex]y = 5(x - 5) + 20[/tex]

[tex]y = 5x - 25 + 20[/tex]

[tex]y = 5x -5[/tex]

So, the function of the second line is:

[tex]f(x) = 5x -5;\ x>5[/tex]

Hence, the piece-wise function is:

[tex]f(x) = \left \{ {{5x;\ 0<x\le 5} \atop {5x-5; x > 5}} \right.[/tex]

Solving (b): The rate at which customers that buy up to 5lb buy.

[tex]x = 5[/tex]

This question implies that, we determine the rate at which this customer buys.

For [tex]x = 5[/tex]

[tex]f(x) = 5x;\ 0 < x \le 5[/tex]

The slope of the above function is 5.

So, this customer buys at the rate of $5 per lb

Solving (b): The rate at which customers that buy more than 5lb buy the extra pounds above 5lb.

For [tex]x > 5[/tex]

[tex]f(x) = 5x -5;\ x>5[/tex]

Assume x = 6

[tex]f(6) = 5 * 6 - 5[/tex]

[tex]f(6) = 30 - 5[/tex]

[tex]f(6) = 25[/tex]

Express as 20 + 5

[tex]f(6) = 20 + 5 * 1[/tex]

Assume x = 7

[tex]f(7) = 5 * 7 - 5[/tex]

[tex]f(7) = 35 - 5[/tex]

[tex]f(7) = 30[/tex]

[tex]f(7) = 20 + 10[/tex]

Express 10 as 5 * 2

[tex]f(7) = 20 + 5 * 2[/tex]

So, we have:

[tex]f(6) = 20 + 5 * 1[/tex]

[tex]f(7) = 20 + 5 * 2[/tex]

This can be generalized as:

[tex]f(x) = 20 + 5(x - 5)[/tex]

For the above functions;

20 represents the amount they buy the first 5

5 represents the rate at which they buy extra pounds above 5

Hence, they buy the extra pounds at the rate of $5 per pound

Answer:

4 Tables

Step-by-step explanation:

There are 8 pints in a gallon, and since you need 2 pints per table, you would just divide 8 by 2.

Answer:

the probability that he will not win is 2/5 cause it's just the chance that he doesn't win

Answer:

136

Step-by-step explanation:

The formula  to find the surface area is 2(wl+hl+hw)

W= 3

H= 8

L= 4

wl= 3*4 = 12

hl= 8*4= 32

hw= 8*3 = 24

12+32+24= 68

68 * 2 = 136

Answer:

m-2

Step-by-step explanation:

m is being subrtacted by 2

Answer:

She can cut 6 nine inch pieces.

Step-by-step explanation:

12x5=60 and 9 goes into 60 6 times which equals 54.

Step-by-step explanation:

i can't help you because that i am no a unit test i am so sorry for not help you

Answer:

x = 60°

y = 50°

Step-by-step explanation:

✔️x + 50° + 70° = 180° (sum of a triangle)

x + 120° = 180°

Subtract 120° from each side

x = 180° - 120°

x = 60°

✔️50° + 60° = x + y (exterior angle theorem of a triangle)

110° = x + y

Plug in the value of x

110° = 60° + y

Subtract 60° from each side

110° - 60° = y

50° = y

y = 50°

Answer:

119 is the 35th term

Answer:

2

Step-by-step explanation:

To find the mean, you divide the number you get from adding all the numbers by the number of numbers. In this case, we know the mean and the number of numbers but don't know the number you get from adding all the numbers. So, we have to do the reverse operation meaning we have to multiply 13 and 10 together which would equal 130.

Now, we do the same thing with 11 and 12, we multiply! 11 x 12 = 132.

130 + 2 = 132, meaning the answer is 2.

You're welcome!

The eleventh number, if included with the original numbers, would result in a mean of 12 is; x = 2

Formula for mean is;

Mean = Sum of numbers/sample size

We are given;

Mean = 13

Sample size = 10

Thus, sum of numbers = 13 × 10 = 130

Now, we want to add an eleventh number so that the mean will be 12.

Thus, n = 11

12 = (130 + x)/11

Cross multiply to get;

12 * 11 = 130 + x

x = 132 - 130

x = 2

Thus, the eleventh number, if included with the original numbers, would result in a mean of 12 is; x = 2

Read more at; https://brainly.com/question/6995725