If the pool is to be 24 ft on each side, what is the length of one side of the hot tub?​

If The Pool Is To Be 24 Ft On Each Side, What Is The Length Of One Side Of The Hot Tub?

Answers

Answer 1

Answer:

the side length of the hot tub = 4.8ft

Step-by-step explanation:

Scale Factor = 5

Also,

B'C' = 24 feet

Since both are squares so both have all sides equal.

Square A'B'C'D' is dilated by a scale factor of 5

So,

AB = BC = CD = DA = 24/5 = 4.8 ft.

i hope this helps you

Answer 2

The length of the one side of the hot tub is 4.8 ft.

What is Scale Factor?

The scale factor is a measure for similar figures, who look the same but have different scales or measures. Suppose, two circle looks similar but they could have varying radii. The scale factor states the scale by which a figure is bigger or smaller than the original figure.

Here, Richardo wants to build a square pool of the hot tub using a scale factor of 5.

If the each side of the pool is 24 ft.

The length of one side of hot tub = 24/5 = 4.8 ft.

Thus, the length of the one side of the hot tub is 4.8 ft.

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Related Questions

Write image as a complex number. Question 6 options: A) 3 + i B) 3 – i C) –3 + i D) –3 – i

Answers

Answer:

that's right B) 3 - √3i

Step-by-step explanation:

(12 - √-48) / 4 =

12/4 - √-48 /4

= 3 - √(-48/16)

= 3 - √-3

= 3 - √ 3i

[tex]\\ \rm\Rrightarrow \dfrac{12-\sqrt{-48}}{4}[/tex]

[tex]\\ \rm\Rrightarrow \dfrac{12}{4}-\dfrac{\sqrt{48}i}{4}[/tex]

[tex]\\ \rm\Rrightarrow 3-4\sqrt{3}i/4[/tex]

[tex]\\ \rm\Rrightarrow 3-\sqrt{3}i[/tex]

Multiply x^2+2x+3 times 4x^2-2x+1

Answers

Answer:

4x^4 + 6x^3 + 9x^2 − 4x + 3

Step-by-step explanation:

Simplify the expression. 4x^4 + 6x^3 + 9x^2 − 4x + 3

Step-by-step explanation:

Answer:

answer for this solution is 4x^4+6x^3+9x^2-4x+3

Suppose X is a random variable with a mean of 10 and a variance of 100. Suppose Y is a random variable with a mean of 2 and a standard deviation of 16. Also, suppose X and Y are independent. What is the mean of 10 X + 3 Y?

Answers

Answer:

[tex]E(10x + 3y) =106[/tex]

Step-by-step explanation:

Given

[tex]E(x) =10[/tex]

[tex]Var(x) = 100[/tex]

[tex]E(y) =2[/tex]

[tex]Var(y) = 16[/tex]

Required

[tex]E(10x + 3y)[/tex]

To do this, we make use of the following equation

[tex]E(ax + by) =aE(x) + bE(y)[/tex]

So, we have:

[tex]E(10x + 3y) =10 * E(x) + 3 *E(y)[/tex]

[tex]E(10x + 3y) =10 * 10 + 3 *2[/tex]

[tex]E(10x + 3y) =100 + 6[/tex]

[tex]E(10x + 3y) =106[/tex]

Type the correct answer in each box.

Find the solution for this system of equations.
2x + 4y = 8
x = 3y − 6

Answers

Answer X=0
AnswerY=2

Answer:

X=0

Y=2

Step-by-step explanation:

Just finished and i got it right

Plz help solve this thanks

Answers

Answer:

y= -3/2

Step-by-step explanation:

........................

Kyle works at a donut​ factory, where a​ 10-oz cup of coffee costs 95¢​, a​ 14-oz cup costs​ $1.15, and a​ 20-oz cup costs​ $1.50. During one busy​ period, Kyle served 29 cups of​ coffee, using 444 ounces of​ coffee, while collecting a total of ​$35.90. How many cups of each size did Kyle​ fill?
Kyle filled ___ 10-oz cup(s), ___ 14-oz cup(s), and ___ ​20-oz cup(s).

Answers

Answer:

10 oz: 7

14 oz: 8

20 oz: 6

Answer:

Kyle filled  4 servings of 10oz   16 servings of 14 oz  9 servings of 20 oz

Step-by-step explanation:

10oz  95c = x

14oz 1.15c = y

20oz 1.50c = z

444 given divided by 29 cups

= 444/29 = 15.3103448 average cup weight so the higher size were used more.  

9 servings of 20 oz cups = 180 = cost check at 1.50 x 9 = $13.50

16 servings of 14 oz cups = 224 = cost check at 16 x 1.15 = $18.40

4 servings of 10 oz cups = 40 = cost check at 4 x 0.95 = $3.80

Where given collection total said to be $35.90 we total 13.5+18.4+3.8 = 35.7 so we are 0.20 out and can try again.

OR just submit this.  4 servings of 10oz   16 servings of 14 oz  9 servings of 20 oz

The_____ is the result of the sum of the numbers being divided by how many numbers are in set.

Answers

Answer:

Mean

Step-by-step explanation:

Mean

less precisely called the average

Which of the following best shows the distributive property?
1. 2(2 - 3) = 2(-1)
2. 2(2 - 3) = 2(2) - 2(3)
3. 2 - 3 = (-3) + 2
4. 2 + (2 - 3) = (2 - 2) + 3

Answers

The answer is 2 because distributive property means that you can multiply with the numbers inside of the parentheses and still get the same answer

Answer:

number 2

Step-by-step explanation:

2x2=4

2x-3=-6

4-6=-2

2x2=4

-2x3=-6

4-6=-2

In the diagram of circle O shown to the right, PA and PB are tangent to circle O at points A and B, respectively. If mACB  266, then mAPB 

Answers

Answer: 86 degrees

Step-by-step explanation:

i need to find the area. please help

Answers

Answer:

A = 190 inches^2

Step-by-step explanation:

The total area would be area for a rectangle + half the area of a circle:

Area for a rectangle:

A = l x w

A = 12 x 15

A = 180 [tex]inches^{2}[/tex]

Area for half of the circle:

A = [tex]\frac{\pi r^{2} }{2}[/tex]

[tex]A = \frac{\pi 2.5^{2} }{2} \\\\= \frac{19.63}{2} \\\\= 9.8 inches^{2}[/tex]

Total area: Rectangle area + half of the circle area

= 180 + 9.8 = 189.8 = 190 inches^2

Step-by-step explanation:

Find the rectangle area first by using the formula A=length * width then find the semicircle area by using the formula A=pi*r²/2

Whats the nth term in this sequence
1 , 7, 13, 19

Answers

Step-by-step explanation:

the answer is in the above image

which expression is equivalent to 6 + 3 * 4 - 1 / 3 ​

Answers

Answer:

12 2/3

Step-by-step explanation:

add the integers to get 6+3 + 4 = 13

Now subtract 1/3

13 = 12 + 1 - 1/3

but one is equal to 3/3

12 + 3/3 - 1/3

12 2/3

Item 23
What kind of angle is angle BCA ?

acute

obtuse

right

Answers

Answer:

BCA is obtuse

Step-by-step explanation:

BCA = 98 degrees

greater than 0 to less than 90 is acute angles

90 - right angle

greater than 90 to less than 180 is obtuse

98 is obtuse

What is the slope of the line graphed below?
(-2,2)
(3, 1)

Answers

Answer:

hey. your questions is not complete. pls add an attachment of the graph to your question

Answer:

[tex]-\frac{1}{5}[/tex]

Step-by-step explanation:

To find the slope, the formula is [tex]\frac{y2-y1}{x2-x1}[/tex]

[tex]\frac{1-2}{3-(-2)}=-\frac{1}{5}[/tex]

Hope this helps

The pentagon shown could be reflected over which line to be carried onto itself?

Answers

Answer:

on the x axis because it is reflected there

Maria is asked to write down a prime number between 10 and 20 she writes down 17 is she right explain your answer​

Answers

Answer:

YES

Step-by-step explanation:

PRIME NUMBER BETWEEN 10 & 20 ARE 11,13,17,19-four

Step-by-step explanation:

it has no factor excluding 1 and itself

brainlest! to first one pls help mehh

Answers

Answer:

A

Step-by-step explanation:

Answer:

option a and b

Step-by-step explanation:

peanuts=1/4 cup    ratio=1:4

raisins=1/2 cup        ratio=1:2

chocolate chips=3/4 cup      ration=3:4

granola =1 cup            ration=1:1

a. ratio of cop of rasins to cup of peanuts=2:1 or 2/1

1/2 = 1/4=2/1

do cross multiplication

4*1=2*1=2/1

4/2=2/

2/1=2/1

2:1=2:1  this is satisfied

b.ratio of cup of granola to cup of peanuts=1:4 or 1/4

1/1=1/4

do crss multiplication

1*1/4*1=1/4

1/4=1/4

1:4=1:4      this is satisfied as both are equal

c.the ratio of cup of chocolate chips to cup of raisins=3:1 or 3/1

3/4=1/2

do cross multiplication

3*2=4*1=3/1

6/4=3/1

6:4=3:1   this is not satisfied as they are different.

d.the ratio of cup of raisins to cup of granola=1:3 or 1/3

1/2=1/1

do cross multiplication

1*1=2*1=1/3

1/2=1/3

1:2=1:3    this is not satisfied as they are different.

e. the ratio of cup of granola to cup of chocolate chips =4:3 or 4/3

1/1=3/4

do cross multiplication

3*1=4*1=4/3

3/4=4/3

3:4=4:3    this is not satisfied as they are not equal

therefore ur answer is option a and b.

Which shows a graph of a linear equation in standard form Ax + By = C, where A = 0, B is positive, and C is negative? A coordinate plane with a vertical line passing through (1, negative 4), (1, 0) and (1, 4). A coordinate plane with a vertical line passing through (negative 2, negative 4), (negative 2, 0) and (negative 2, 4). A coordinate plane with a horizontal line passing through (negative 4, 4), (0, 4) and (negative 4, 4). A coordinate plane with a horizontal line passing through (negative 4, negative 3), (0, negative 3) and (4, negative 3).

Answers

Answer:

A coordinate plane with a horizontal line passing through (negative 4, negative 3), (0, negative 3) and (4, negative 3).

Step-by-step explanation:

Ax + By = C, where A = 0, B is positive, and C is negative

By= C or y= C/B which is negative

Since A is zero and C is negative, the line is parallel to x- axis and has negative value for y, so it is a horizontal line below zero

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

A coordinate plane with a vertical line passing through (1, negative 4), (1, 0) and (1, 4).

no, the line is horizontal

A coordinate plane with a vertical line passing through (negative 2, negative 4), (negative 2, 0) and (negative 2, 4).

no, the line is horizontal

A coordinate plane with a horizontal line passing through (negative 4, 4), (0, 4) and (negative 4, 4).

no, the y-values should be negative

A coordinate plane with a horizontal line passing through (negative 4, negative 3), (0, negative 3) and (4, negative 3).

yes, this is horizontal line below zero

Answer:

D

Step-by-step explanation:

6. Which of the following is equivalent to the expression shown?
(x - 5)(x + 5)
(A) x2 – 10x - 25
(C) x2 – 25
x2 - 10x + 25
(D) x2 + 25
(x–52) (x+5)
x²-524
X2-10
I’m stuck on this help anyone ? :(

Answers

Answer:

its x^2 -25

Step-by-step explanation:

simply we know,

a^2-b^2=(a-b)(a+b)

Solve the system of equations.
y=8x-6
y=5x+9​

Answers

Answer:

x= 5 , y = 34

Step-by-step explanation:

8x-6=5x+9

3x-6=9

3x=15

x=5

-

8(x5) - 6 =

34

25(x5) +9 =

34

Answer:

x = 5 and y = 34

Step-by-step explanation:

I used substitution method and did this ;

8x - 6 = 5x + 9 .....put like terms together

8x - 5x = 9 + 6

3x = 15

x = 5

y = 8 (5) - 6

y = 40 - 6

y = 34

Plzzz answer I don’t have a lot of time

Answers

Answer:

p=35

Step-by-step explanation:

2p+5+3p =180 degree (being linear pair)

5p+5=180

5p=180-5

p=175/5

p=35

A linear pair is a pair of adjacent angles formed when two lines intersect.

write a quadratic function f whose zeros are 2 and -6

Answers

Answer:

hope this will help u

Step-by-step explanation:

⇒  Given zeros are α=2 and β=−6.

⇒  Sum of zeros =α+β=2+(−6)=−4

⇒  Product of zeros =α×β=2×(−6)=−12

⇒  Quadratic polynomial =x  

2

−(α+β)x+(α×β)

⇒  Quadratic polynomial =x  

2

−(−4)x+(−12)

∴   Quadratic polynomial =x  

2

+4x−12

The quadratic function having 2 and -6 as zeros is f(x) = x² + 4x - 12.

What is the quadratic function with roots 2 and -6?

Given the parameters:
Zeros of the function: 2 and -6.

To find the quadratic function f(x) with zeros at 2 and -6, first set up the equation:

x = 2 and x = -6

These are the real solutions to the quadratic equation:

This means that; ( x - 2 ) and ( x + 6 ) are the factors of the quadratic equation:

Hence:

( x - 2 )( x + 6 ) = 0

Expand using distributive property:

x( x + 6 ) - 2(x + 6 )  = 0

x² + 6x - 2x - 12 = 0

Collect and add like terms:

x² + 4x - 12 = 0

Therefore, the function will be:
f(x) = x² + 4x - 12.

The quadratic function is f(x) = x² + 4x - 12.

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The difference of two numbers is 13. The sum of two numbers is 75

Answers

Answer:

The numbers are 31 and 44.

Step-by-step explanation:

Given that the difference of two numbers is 13, and the sum of two numbers is 75, to determine what these numbers are, the following calculations must be performed:

(75 - 13) / 2 = X

62/2 = X

31 = X

31 + (31 + 13) = X

31 + 44 = X

75 = X

Therefore, the numbers are 31 and 44.

Select all the pairs of expressions that are equivalent.
•14d + 21 and 7(2d + 3)
•9(5r - 2) and 14r - 7
•8(69 - 9) and 489 - 72
•16 + 4w and 2(2w + 8)
•32t + 16 and 16(2 – t)

Answers

Answer:

14d + 21 = 7(2d + 3)

16 + 4w = 2(2w + 8)

Step-by-step explanation:

14d + 21

7(2d + 3)

14d + 21

14d + 21 = 7(2d + 3)

9(5r - 2)

45r - 18

14r - 7

9(5r - 2) ≠ 14r - 7

8(69 - 9)

552 - 72

489 - 72

8(69 - 9) ≠ 489 - 72

16 + 4w

2(2w + 8)

4w + 16

16 + 4w = 2(2w + 8)

32t + 16

16(2 - t)

32 - 16t

32t + 16 ≠ 16(2 - t)

The pairs of expressions that are equivalent are 14d + 21 and 7(2d + 3) and 16 + 4w and 2(2w + 8)

How to determine the equivalent expressions?

To do this, we test each pair of expression.

This is done as follows

14d + 21 = 7(2d + 3)

Expand

14d + 21 = 14d + 21 --- this is true

9(5r - 2) = 14r - 7

Expand

45r - 18 = 14r - 7 --- this is false

8(69 - 9) = 489 - 72

Expand

552 - 72 = 489 - 72 --- this is false

16 + 4w = 2(2w + 8)

Expand

16 + 4w = 4w + 16 ---- this is true

32t + 16 = 16(2 – t)

Expand

32t + 16 = 32 - 16t --- this is false

Hence, the pairs of expressions that are equivalent are 14d + 21 and 7(2d + 3) and 16 + 4w and 2(2w + 8)

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How to solve and what is the answer for this question

Answers

Answer:

O DC = 65 and DE = 33.5

Step-by-step explanation:

DC is already given by AB

so DC is 65

DE would be BD split

DE is 33.5

Answer: O DC = 65 and DE = 33.5

The linear function g is defined by g(x) = 4x.

a. Determine g(3).


b. Determine g(2).


c. Determine g(3) - g(2)

Answers

Answer:

the answer is D.

Step-by-step explanation:

well, the y-intercept for f(x) is at  

as you can see from the slope-intercept form is at 4, and it has an slope of 2/3.

for g(x), well an y-intercept is when x = 0, what is it from that table?  well, is at 0,3, so when x = 0, y = 3, so no dice on that one.

c)

whenever an x-intercept occurs, y = 0, for f(x) that's at  

what about the x-intercept for g(x)?  well, let's check, when is y = 0?  aha!  at -9, 0, so when y = 0, x = -9, so no dice on that one either.

d)

well, what is the slope of g(x) anyway?  well, let's pick two points off the table to get it hmmm the first two let's use,

and from a), using the slope-intercept form, we know f(x) has a slope of 2/3.

well, 2/3 is larger than 1/3, so no dice.

b)

well, you already know.

Correct answer to your question is letter D

What is the value of n?

Answers

Answer:

A

Step-by-step explanation:

180-133= 47

180-142= 38

47+38= 85

180-85= 95

If the inside of n is 95, n has to be  85

11. Choose the proportion that represents this problem:
If one meter is approximately 3.28 ft, how many meters are
in 20 ft?
a) 3.28
20
b) 3.28
20
1
1
m
O ) c) 3.28
20
1
d) 20
3.28
1
m
т

Answers

Answer:

D is the answer

Step-by-step explanation:

Which statement is true about the function shown in the graph?

Answers

Answer:

A

Step-by-step explanation:

The function that is  shown in the graph is strictly decreasing

What is a function?

"A function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function."

The given function has a value of (- 5) at a certain point.

After that the function is decreased to a value of (- 10).

Therefore, we can conclude that the function is strictly decreasing.

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find the product. write your answer in exponential form 9²•9-⁶​

Answers

Answer:

9^8

Step-by-step explanation:

9²•9⁶​ = 9^(2+6) = 9^8

Answer:

IF the 6 is negative : [tex]9^{2}[/tex] · [tex]9^{-6}[/tex] then the answer is 1/[tex]9^{4}[/tex]

If the 6 is positive then the answer is [tex]9^{8}[/tex]

Step-by-step explanation:

Exponents are add when their bases are similar.

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