Rita has a circular hot tub. the hot tub has a circumference of 25.12 feet. it is 3.5 feet deep.

how much water can the hot tub hold?

Answers

Answer 1

Volume is a three-dimensional scalar quantity. The amount of water that the tub can hold is 4,981.75 litres.

What is volume?

A volume is a scalar number that expresses the amount of three-dimensional space enclosed by a closed surface.


Given the circumference of the tub is 25.12 feet, therefore, the radius of the circumference of the tub will be,

Circumference = 2πr

25.12 = 2×π×r

r = 3.9979ft ≈ 4ft

Now, the volume of the tub will be,

Volume = πr²h = π×(4²)×3.5 = 175.929 ft³

Since 1 ft³ is equal to 28.3168 litres, therefore, the amount of water that a tub can store is

Volume of water = 175 × 28.3168 = 4,981.75 litres

Hence, the amount of water that the tub can hold is 4,981.75 litres.

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Related Questions

If a sprinkler rotated 90˚, paused, and then rotated another 90˚, how many degrees
did it rotate altogether

Answers

Answer:

180°

Step-by-step explanation:

Since a sprinkler rotates 90°, pauses,and then rotates another 90°

So, here total degrees be like

= 90° + 90°

= 180°

hence, The number of degrees did it rotate altogether should be considered as the 180 degrees.

Given h(x)=2x3 + x2 +7, what is the value of h(−3)?
With the steps please.

Answers

Answer:

-38.

Step-by-step explanation:

Plug x = -3 into the given function

h(-3) = 2(-3)^3 + (-3)^2 + 7

= -54 + 9 + 7

= -54 + 16

= -38.

If the volume is 7 and the density is 1.420 what's thr mass

Answers

Answer:

9.94

Step-by-step explanation:

Density = mass/ volume

1.420 = mass / 7

7 x 1.42 = mass

9.94 = mass

Select the correct answer. which expression shows the factors of 9x2 3x − 2? a. (3x − 1)(3x − 2) b. (3x 1)(3x − 2) c. (3x 2)(3x − 1) d. (9x − 2)(x 1)

Answers

The complete factor of the expression 9x² + 3x - 2 is (3x - 1)(3x + 2)

How to determine the complete factorization?

The expression is given as:

9x² + 3x - 2

Expand the equation

9x² + 3x - 2 = 9x² + 6x - 3x - 2

Factorize the expression

9x² + 3x - 2 = 3x(3x + 2) - 1(3x + 2)

Factor out 3x + 2

9x² + 3x - 2 = (3x - 1)(3x + 2)

Hence, the complete factor of the expression 9x² + 3x - 2 is (3x - 1)(3x + 2)

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The zeroes of the function are___

Answers

Answer:

The zeros are x = -2, x = 0, x = 4.

Step-by-step explanation:

The zeros describe where the function crosses the x-axis, or where the y-value is zero. In this case, the zeros are x = -2, x = 0, x = 4.

Four seventh-grade students won awards. In how many different ways could the students sit with a partner during awards ceremony?

Answers

The number of the different ways could the students sit with a partner during the awards ceremony will be 24.

What are permutation and combination?

A permutation is an act of putting things or elements in the right sequence. Combinations are a method of picking things or pieces from a collection of objects or sets when the sequence of the objects is irrelevant.

Four seventh-grade students won awards.

Then the number of the different ways could the students sit with a partner during the awards ceremony will be

P = 4!

P = 4 x 3 x 2 x 1

P = 24

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#57 will give brainliest to the best answer. please explain

Answers

Answer:

(x+y)(z+1)

Step-by-step explanation:

trust me .......

Answer:

(x+y) (z+1)

Step-by-step explanation:

xz + x + yz + y

- group the first two terms and the last two terms.

(xz + x ) + yz + y

- factor out the greatest common factor (GCF) from each group.

x (z + 1) + y (z + 1)

- factor the polynomial by factoring out the greatest common factor, z + 1.

(x+y) (z+1)

What is the answer to number 2 on this sheet?

Answers

Answer:

J

Step-by-step explanation:

Use the Volume formula for cylinders first.

V=πr^2•h.

Radius=Diameter/2

R=5.

Plug it in.

V=π5^2•36

V=2,826.

Multiply the rest of the answers out to see what matches.

J.) 78.5•36=2,826

Sandra plotted the point whose ordered pair is (-4, 6). Which point did Sandra plot?
Point D
Point A
-10 6
Point B
Point C

Answers

Answer:

POINT A

Step-by-step explanation:

it is 4 units to the left and 6 units up of the origin

Avani is trying to find the height of a radio antenna on the roof of a local building. She stands at a horizontal distance of 21 meters from the building. The angle of elevation from her eyes to the roof ((point AA)) is 27^{\circ} ∘ , and the angle of elevation from her eyes to the top of the antenna ((point BB)) is 37^{\circ} ∘ . If her eyes are 1.54 meters from the ground, find the height of the antenna ((the distance from point AA to point BB)). Round your answer to the nearest tenth of a meter if necessary.

The answer is 5.1.

Answers

Answer:

Avani is the tiktoker everyone adores. however 49499 +4939+ 4969 is not the answer your looking for you. you have to subtract 39 from 129 to get the exact meters. and round it to the nearest tenth.

Step-by-step explanation:

David has kept track of his family’s grocery bills for the past
10 weeks, as shown in the table.
Week 1 2 3 4 5 6 7. 8 9 10
Bill ($) 92 106 129 115 100 84 110 156
98 87
Would you choose to use a histogram, a circle graph, or a line graph to
display the data? Explain your choice.

Answers

Answer:

it is more easier to use a histogram and accurate

Answer:

Line graph

Step-by-step explanation:

A line graph is specifically used to display data that changes over time, a line plot uses several points connected by straight lines on an x and y axis.

I wouldn't choose a histogram because a histogram is used to summarize continuous data.

As well as I wouldn't use a circle graph becasue it is often used to show the percentage of of population who gave a certain answer.

18. A tree casts a 76ft shadow when the sun is at a 41° angle of depression. Find the height of the tree.
Round to the tenths place.

Answers

Answer:

87.36 ft.

Step-by-step explanation:

Angle of depression : 41°

Length of shadow : 76 ft.

Taking the tan ratio (let the height of the tree be 'h') :

tan 41° = 76/h

0.87 = 76/h

h = 76/0.87

h = 87.36 ft.

Answer:

the height of the tree = 87.4 ft (Rounded to the tenths place)

Step-by-step explanation:

the tree form a right angle with the ground

Then , we have a right triangle .

let H be the height of the tree.

[tex]\tan 41=\frac{76}{H}[/tex]

[tex]\Longrightarrow H = \frac{76}{\tan(41)} = 87.427998948797[/tex]

2.4 divided by 0.24 pllss help

Answers

Answer:

your answer is 10 Goodluck

Help with this 10th grade circle problem? can someone help me solve this, i have no idea how. my teacher wont get back to me.

Answers

Answer:

D) 8

Step-by-step explanation:

Use the Intersecting Chords Theorem to find the value of x:

[tex]x*x=16*4\\\\x^2=64\\\\x=8[/tex]

The total amount of weight on an airplane cannot exceed 2,500 pounds. The plane is carrying 1,750 pounds of
luggage. The average weight of each passenger on the plane is 150 pounds. Set up and solve an inequality to
find the number of passengers, p, the plane could carry.
A. 150p+1750 ≤2500; p ≤5
B. 150+1750p ≤2500; p ≤ 1.3
C. 150p-1750 ≤2500; p ≤ 28.3
D. 150p+2500 2 1750, p 2-5

Answers

Answer:

I think its A but not sure it's the one that makes the most sense though

Mrs. Martinez is making a stained-glass
window. She wants to make a triangular pane
having side lengths a = 12 in. and b= 16 in. If
m panes can she make?

Answers

Answer: They have raised $100 for the materials for the project. The colored glass costs $5 per square foot and the clear glass costs $3 per square foot.

Step-by-step explanation:

Pls Help, I will mark brainliest.​

Answers

Answer:

5^2

Step-by-step explanation:

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

5 to the second power

Solve for x, y and z. Round your answers to the nearest tenth.

Answers

Answer:

Step-by-step explanation:

A 20 ft. long piece of lumber is cut such that the first piece is 4 ft. longer than three times the second piece. what is the length of each piece?

Answers

Answer:

2nd = 4ft.

1st = 16ft

Step-by-step explanation:

2nd = x

1st = 3x + 4

Piece of rope = 20ft.

(3x + 4) + x = 20

4x + 4 = 20

4x = 16

x = 4 (second piece)

First

3x + 4

3(4) + 4

12 + 4 = 16

Write an expression that represents the weigh of and object that weighs 12 pounds and increases by 0.5 pound per month, m.

Answers

I think the expression should be 12+0.5m

Need help please answer ASAP!

Answers

Answer:

    29. (2) 12

    30. (1) a slope of 3/2 and a y-intercept of -6

    31. (1) 12

    32. (4) 8%

    33. (1) -5

Step-by-step explanation:

Question 29

2x/3 - 5 = x/42x/3 - x/4 = 5(8x - 3x)/12 = 55x = 60x = 12(2) 12

Question 30

3x - 2y = 122y = 3x - 12y = 3x/2 - 6It has a slope of 3/2 and y-intercept of -6(1) a slope of 3/2 and a y-intercept of -6

Question 31

(x - 4)(x + a) = x² - x + w = 0a - 4 = -1a = 3(x - 4)(x + 3) = x² - x - 12 = 0w = 12(1) 12

Question 32

Sales tax = $20.51 - $18.99 / $18.99Sales tax = $1.52/$18.99Sales ≈ 8%(4) 8%

Question 33

C = 5/9 [23 - 32]C = 5/9 (-9)C = -5(1) -5

What is the probability of rolling an odd number or rolling a 2 on a six sided die? *
1/6
5/6
1/3
1/2
2/3
Guaranteed

Answers

Answer: 2/3

Step-by-step explanation:

First, find the probability of rolling an odd number. The odd numbers on a 6-sided die are 1, 3, and 5. This is a probability of 3/6.

Now, find the probability of rolling a 2. There's only one 2 on a die, so the probability is 1/6.

Next, add these together. 3/6 + 1/6 = 4/6. This can be reduced by dividing both the numerator and denominator by 2. This results in a final probability of 2/3.

Ajay has a piggy bank which has one-rupee and two-ruppe coins. The number of 2 rupee coins is twice the number of 1 rupee coins.the total amount of money in the piggy bank is 30 rupees. How many 1 rupee and 2 rupee coins are there in the piggy bank?

Answers

Let number of one rupee coins be x
Let number of two rupee coins be 2x

=> 2x+x=30
=>3x=30
=> x = 10

Hence , number of one rupee coints are x = 10

Number of 2 rupee coins are 2x = 2(10) = 20

Hope this helps you dear:)
Have a good day!

Answer:

6 one rupee and 12 two rupee coins.

Step-by-step explanation:

If the number of rupee coins is x then the number of 2 rupee coins is 2x.

x +  2*2x = 30

5x = 30

x = 6.

What is the factor form pls yall I need help lol and put how to solve it

Answers

Answer:

y = -1/2(x - 3)(x - 7)

Step-by-step explanation:

we already have the x intercepts so we can first put those in our equation

y = a(x - 3)(x - 7)

then we can plug in the vertex to find what our a value is

2 = a(5 - 3)(5 - 7)

2 = a(2)(-2)

2 = -4a

a = -1/2

so your equation is

y = -1/2(x - 3)(x - 7)

Find the Volume of the triangular prism

Answers

Answer:

  72 cubic yards

Step-by-step explanation:

The volume of a prism is given by ...

  V = Bh

where B is the area of the base, and h is the distance between bases.

Here, the base is a triangle, so its area is given by ...

  A = 1/2bh

where b is the base of the triangle, and h is the height perpendicular to the base.

__

Using these formulas with the dimensions given, we have ...

  B = 1/2(8 yd)(3 yd) = 12 yd²

  V = (12 yd²)(6 yd) = 72 yd³

The volume of the triangular prism is 72 cubic yards.

_____

Additional comment

Effectively, the volume of a triangular prism is half the volume of a rectangular prism with the same length, width, and height.

Mai put $4250 in the bank at 4.4% interest compounded annually. How much was in her
account after 7 years?

Answers

Answer:

$5745.03

Step-by-step explanation:

A = 4250(1 + 0.044)7 = $5745.03

The required amount in the Mai accounts after 7 years will be $5745.03.

What is compound interest?

Compound interest is the interest on deposits computed on both the initial principal and the interest earned over time.

Amount = principal[1 + r/n]ⁿᵃ

Here,

Principal = 4250, rate = 4.4%, Time = 7 ,
Amount = 4250[1 + 0.044]⁷
Amount = $5745.03

Thus, the required amount in the Mai accounts after 7 years will be $5745.03.

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I need help please anyone, I would appreciate it sm?!

Answers

Answer:

1st option y-5 = 3(x-1)

Step-by-step explanation:

graph shows y intercept of 2

1st option has a y intercept of 2

Answer:

Option 1

Step-by-step explanation:

Clearly, the slope of the line is 3. (As it cannot be negative in this case and it's more vertical so it's not 1/3)

The point slope form is written as :

y - y₁ = m(x - x₁)

Substituting m = 3 :

y - y₁ = 3(x - x₁)

Option 1 is the only option with the value of m as 3.

Which equation implies that a and b are independent events? a. b. c. d. e.

Answers

Using conditional probability, the equation that implies that a and b are independent events is P(B|A) = P(B).

What is Conditional Probability?

Conditional probability is the probability of one event happening, considering a previous event. The formula is:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)}[/tex]

In which:

P(B|A) is the probability of event B happening, given that A happened.[tex]P(A \cap B)[/tex] is the probability of both A and B happening.P(A) is the probability of A happening.

If A and B are independent events, we have that:

[tex]P(A \cap B) = P(A)P(B)[/tex].

Then, at the conditional formula:

[tex]P(B|A) = \frac{P(A \cap B)}{P(A)} = \frac{P(A)P(B)}{P(A)} = P(B)[/tex]

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Answer:

P(B/A)=(A)

Step-by-step explanation:

trust me

Find the sum of the first 8 terms of the geometric sequence that begins: 12, 18, 27, ...

Answers

Answer:

times it bye 1.5 to get the next 8 terms

Step-by-step explanation: divide them all so 27.18 and 18/12 that will give you the same two answers thats what you times bye to get the next terms

Owen owns a small business selling ice-cream. He knows that in the last week 102 customers paid cash, 3 customers used a debit card, and 8 customers used a credit card.

Answers

The probability that the next costumer will pay with a credit card is 0.07.

What is the probability?

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability that the next costumer will pay with a credit card = number of customers that paid with a credit card / total number of customers

8 / ( 8 + 3 + 102)

= 8 / 113 = 0.07

Here is the complete question:

Owen owns a small business selling ice-cream.He knows that in the last week 102 customers paid cash, 3 costumers used a debit card, and 8 costumers used a credit card. Based on these results,express the probability that the next costumer will pay with a credit card as a decimal to the nearest hundredth

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