The millers are going to put a pool in their backyard this summer. The pool will have a depth of 5 feet, and the dimensions shown in the picture. What will be the total volume of water needed to fill the pool?

Answers

Answer 1

Answer:

D : 510 units

Step-by-step explanation:

NOTE:

Something to consider when solving problems like this is to break the large shape down into smaller, more managable shapes. So for this problem, you can break down this irregular shape into two rectangles. This will make solving problems similar to this easier in the future :)

WORK:

I broke down this shape into two rectangles with the following dimensions:

- 12 meters by 5 meters

- 3 meters by 14 meters

You also know that the depth has to be 5 feet (the problem itself did not account for differences in feet and meters, as when I converted the 5 feet to meters and solved that way, none of the answers were correct)

Using this information, you can now solve for the volume of each of the rectangles

12*5*5 = 300 units

3*14*5 = 210 units

Then, you simply add the two volumes together to find the total volume needed to fill the pool which equals

510 units

Related Questions

Solve the equation using the method of factorisation-
x2 - 4x - 45 = 0

x² + 4x -9= (x + a)^2 + b
Find the value of a and the value of b.

Answers

Answer:

X = 9,X= -5, a = 2, b = -13

Step-by-step explanation:

For (1),

Using Cross-factorization,

it can be reduced to (X - 9)(X + 5) = 0

Equate each factor to 0:

we have X = 9 and X = -5

For (2),

It is the case of completing the Square,

add 4 so we get the completed square ( we want the form X^2 + 2a + a^2)

(X^2 + 4X + 4) - 9

can be simplified to (X+2)^2 -9

However since we added 4 it means we have to subtract 4

So it becomes (X+2)^2 -9 -4

= (X+2)^2 -13

A recipe requires 1 cup of flour for every batch of cookies. How many full batches of cookies can be
made with 52 cups of flour?

Answers

The answer would be 52 batches of cookies.

Hunter surveyed 200 of the students in his school bout there favorite color. 66 student said their favorite color was blue. What % of the surveyed student said there color was blue?

Answers

33% is your answer .

Maya has 120 caramel apples to sell. Each caramel apple is covered with one topping. •
• 1/5of the caramel apples are covered with peanuts.
• 1/3are covered with chocolate chips
• 3/10 are covered with coconut.
• The rest are covered with sprinkles.
How many caramel apples are covered with sprinkles?

A 100

B 33

C 25

D 20

Answers

Step-by-step explanation: D. 20

Can someone help me on this one

Answers

Answer:

same as last because it is a circle

Step-by-step explanation:

Answer: diameter = 16 area = 201.06

Step-by-step explanation:

The table below shows the 24 prizes that a teacher had in a box in her classroom:

The teacher will add more prizes to the box but does not want to change the ratios among the three types of prizes. If he adds 2 more pencils to the box, how many more bookmarks and posters should he add? Explain.

Answers

Answer: 15 bookmarks and 5 posters

Step-by-step explanation:

Help please? (61 + 5) ÷ 6 − 22

Answers

Answer:

-11

Step-by-step explanation:

61 + 5 = 66

66 / 6 = 11

11 - 22 = -11

Answer:

the answer is....

Step-by-step explanation:

-10.8333333

Find the surface area of the figure

Answers

Answer:

2400 square feet

Step-by-step explanation:

20 x 20 = 400

400 x 6 = 2400

Hope that helps!

The local park has a circular pond with a radius of 9 feet. What is the pond's circumference?

Answers

Answer:

Using 3.14 as pi, the answer would be 56.52, and using just pi (as in the input on a calculator) would be 56.54867.

Step-by-step explanation:

The equation for circumference of a circle is C = πd, C representing the circumference and d representing the diameter. Since the equation shows the radius, the equation can also be C = 2πr, since the radius is half of the diameter. Multiply nine by two to get eighteen. 18 times 3.14 = 56.52.

What is the probability that a student who has no curfew has no chores

Answers

Answer:

C) [tex]\frac{7}{20}[/tex]

Step-by-step explanation:

You are going to look at the number that is both no curfew and no chores. This number will be your numerator. Your denomiantor will be the no curfew total as it is asking you how much of the no curfew students don't have chores. Once you get this number, you will simplify it and get the answer above.

Which is the quotient of 15 divided 4? 4/15, 2 2/3, 3 3/4, 4 4/15

Answers

Answer:

its 3 3/4 or in decimal form 3.75

Step-by-step explanation:

15 divided by 4 gives you that answer

a right retangular prism is 10 1/2 m wide 15 1/2 m long and 3 m tall what is the volume of the prism

Answers

Answer:

V = 488.25

Step-by-step explanation:

Formula:

V = whl

V = 10.5(15.5)(3)

V = 162.75(3)

V = 488.25

-3/4(4f - 2g)
Please answer as soon as you can!

Answers

Answer:−

Step-by-step explanation:−

(

−

)

Simplify

Combine multiplied terms into a single fraction

−

(

−

)

−

(

−

)

Distribute

Solution

−

What is the equation of the line that passes through (4, -1) and (-2, 3)?

Answers

Answer:

-2/3

Step-by-step explanation:

(4, -1) and (-2, 3)

-1 +4 =3

4 - 6 = -2

-4/6 divided by 2/2 equals -2/3

Lonny is a salesman and earns $75 for each sale he makes. Lonny has a sales
goal to earn more than $975 dollars in a week. Lonny currently has made $150
from sales this week. Which of the following inequalities shows the number of
sales, s, that Lonny needs to make in order to make his sales goal?
O 755 + 150 > 975
O 755 – 150 > 975
O 75s – 150 < 975
755 + 150 < 975

Answers

Answer:

5x-7+8=-27

Step-by-step explanation:

5x-7+8=-27

Dominica $2000 for 3years at an interest rate of 7% how much interest did she earn on her money?

Answers

Answer:

$420

Step-by-step explanation:

The formula for simple interest is i = prt, where p is the principal, r is the annual interest rate expressed as a decimal fraction, and t is the number of years.

Here p = $2,000, r = 0.07 and t = 3 yr, and so

i = ($2,000)(0.07)(3) = $420 was the amount of interest earned.

Which expression can be used to find the surface area of the following square pyramid?

Answers

answer: a a maybe right i guess

Charles invested $15,000 in stocks and bonds. He made a 12% profit on his stock investments and a 5% profit on his bond investments. If Charles's combined profits on both types of investments were $1,450, how much did he invest in stocks?

Answers

Answer:When you leave the interest in your

account or reinvest the money you earn on your

investments, the money you earn starts to earn

money too. Over time, the magic of

compounding works, allowing your money to

grow with dramatic results. The more time you

have to save, the less money you need to save

because of compounding. And the longer you

wait to start saving, the more you have to spend

to reach your goal. For example, let’s assume

that Maria’s savings grow by 5% a year. If she

starts to save $243 a month now, it will cost her

$58,320 to have $100,000 in twenty years. If

she waits 10 years to start saving, she will have to

save $644 a month for 10 years, and it will cost

her $77,280 to reach $100,000 in twenty years.

Step-by-step explanation:Hope this helps!!!!

Answer:

$10,000 invested into stocks

Step-by-step explanation:

Use the Pythagorean Theorem to find l. 1 l l = 7 [?] ft 13 ft 1 2 ft a C с Pythagorean Theorem: a2 + b2 = c2 b Enter

Answers

Answer:

l = √10 ft

Step-by-step explanation:

Using Pythagorean Theorem, a² + b² = c², where,

a = ½(2) = 1 ft

b = 3 ft

c = l

Plug in the values

1² + 3² = l²

1 + 9 = l²

10 = l²

√10 = l

l = √10 ft

Auto saved at 08.27.45
What is the volume of the triangular prism?
35 cm
21 cm
14 cm
28 cm
o 8,2332 cm
o 4,116 cm
o 6,860 cm3
• 10,290 cm

Answers

Answer:

the answer is 4116 cm^3

area is (1/2)xbh x 14, b =27, h=21.

Answer:

4116 cm^3

Step-by-step explanation:

What's the missing value2x+3y=12

Answers

Answer:

x = 3 and y = 2

Step-by-step explanation:

We can plug in the numbers. 2 x 3 is 6, and 3 x 2 is 6. 6 + 6 is 12. So, x is 3 and y is 2.

Dwayne purchased a computer from Techtronic's, Inc. for $2,600 in 2007. The rate of

depreciation is 7%. Which would be the best estimate for the value of the computer in

2010?

Answers

Answer:

[tex]\$2091.3[/tex]

Step-by-step explanation:

Let P denotes initial value of the product, r% is the annual depreciation rate and t denotes time period.

Depreciation (d) = [tex]P(1-\frac{r}{100})^t[/tex]

Put [tex]P=\$2,600,\,r\%=7\%,\,t=3[/tex] years

Therefore,

[tex]d=P(1-\frac{r}{100})^t\\\\=2600(1-\frac{7}{100})^3 \\\\=2600(\frac{93}{100})^3\\\\=\$2091.3[/tex]

Apples cost $2 each, while bananas cost $3 each. Maria purchased 10 fruits in total and spent $22. How many apples did she buy?

Answers

mary bought 8 apples

8 apples Mary purchased

Solve for a: a + 6 - 2 x 6 + 4 – 8 + 3 x 2 = 0

Answers

Step-by-step explanation:

[tex]a + 6 - 12 + 4 - 8 + 6 = 0 \\ a - 4 = 0 \\ a = 4[/tex]

I need help ASAP ! I’ll give anyone 5 stars for the correct answer

Answers

Step-by-step explanation:

[tex]f(x) = {x}^{2} + 2x - 10 \\ f( - 2) = { (- 2)}^{2} + 2( - 2) - 10 = \\ = 4 - 4 - 10 = - 10[/tex]

giving 100 pts after its answered correctly

Answers

Answer:

I think he just wanted the answer so there isnt free 100 pts :/

Step-by-step explanation:

Answer:

just got robed out of 10 pts tho

Step-by-step explanation:

Two investments totaling $37,500 produce an annual income of $2210. One investment yields 6% per year, while the other yields 5% per year. How much is invested at each rate?

Answers

Answer:

a = $33,500 at 6%

b = $4,000 at 5%

Detailed Answer:

37,500 = a + b

b = 37,500 - a

a = 37,500 - b

2,210 = a*6% + b*5%

2,210 = a*6% + 5%*(37,500 - a)

2,210 = a*6% - a*5% + 37,500*5%

2,210 = a*(6% - 5%) + 1,875

335 = a*( 6/100 - 5/100)

335 = a*( 1/100)

a = (335*100)/1

a = $33,500

b = 37500 - a

b = 37500 - 33500

b = 4000

Plug back in to check if the amounts invested at each rate equal $2210:

$2210 = a*6% + b*5%

$2210 = 33500*6% + 4000*5%

$2210 = $2010 + $200

$2210 = $2210

pls help mee help help help help

Answers

Area of circle: pi * r^2
r = 4.8
4.8^2 * 3.14 = 23.04 * 3.14
= 72.3456

30 POINTS PLUS BRAINLIEST. ANSWER ALL QUESTIONS IN DETAILS,FORMULA AND STEP BY STEP.EXPLANATION FOR EACH ONE. NEEDS TO BE DONE IN 1HR OR LESS. ALL TROLL ANSWERS WILL BE REPORTED

Answers

Answer: I think the answers below are all correct! :)

Step-by-step explanation: --> (that sign means I simplified the equation)

9-7r=-5 --> (9+5)-7r=0 --> 14-7r=0 --> 14=7r --> r=2

6x-5=4x+9 --> 6x=4x+(9+5) --> 6x=4x+14 --> 6x-4x=14 --> 2x=14 --> x=7

3(2d-1)=7d --> *multiply the parenthesis* 6d-3=7d --> -3=7d-6d -->d=-3

2(p-3)=4(3p+1) --> *multiply the parenthesis* 2p-6=12p+4 --> -10p=10 --> p=-1

___________________________________________________________

Don't know how to do the others below the boxes.

Good Luck!

why couldn't klog hear music through his phone

Answers

The reason why Klog could not hear music through his phone was that it was chordless.

What is a Pun?

This refers to the use of words to show their double meaning and how one meaning can sound the same and mean a different thing.

Hence, we can see that from the knowledge of chords, we can see that music is written in chords and Klog's phone did not have a cord and this was the meaning of the pun to show that Klog could not listen to music because his phone did not have a cord.