5. A water tank is in the shape of a right circular cylinder with a height of 20 feet and a volume of 320pi cubic feet. What is the diameter, in feet, of the water tank? ​

Answers

Answer 1

Answer:

8 ft.

Step-by-step explanation:

V = Bh        B = area of the base           h = height

The base is a circle, so [tex]B = \pi r^{2}[/tex]

320π = [tex]\pi r^{2} (20) = 20\pi r^{2}[/tex]

[tex]r^{2} = \frac{320\pi }{20\pi } = 16[/tex]

r = 4

d = 8 ft.


Related Questions

factor out the gcf from each polynomial 30x^2-18x^3+6x^4

Answers

Answer:

43

Step-by-step explanation:

find the product of (5x+4)(5x-4)

Answers

Answer:

25x² - 16

Step-by-step explanation:

Given

(5x + 4)(5x - 4)

Each term in the second factor is multiplied by each term in the first factor, that is

5x(5x - 4) + 4(5x - 4) ← distribute parenthesis

= 25x² - 20x + 20x - 16 ← collect like terms

= 25x² - 16

Please can someone give me correct answer to this problem.
I will mark you brainliest for the correct answer.
Please help!!!!!!!!!!!!!!!!!!!

Answers

The answer is C or D but I would do D

Help PLEASE 10pts CMON PEOPLE I NEED TO FINISH THIS TODAY

Answers

Answer:

451054547.5

Since total sum of interior angles of a triangle is 180 Do the calculation you will get it

A cylinder has a height of 6 cm and a circumference of 10 cm. What is the volume of the cylinder?

Answers

Answer:

≈ 471 cm^3

Step-by-step explanation:

V = πr^2h

V = 3.14·5^2·6

V = 3.14·25·6

V ≈ 471 cm^3

How can you use transformations to solve problems?
Choose all that are correct
А
You can use translations to describe a change in the shape of a figure.
B
You can use reflections to describe a change in the size of a figure.
C.
You can use rotations to describe a change in the position of a figure.

Answers

Answer:

C, you can use rotations to describe a change in the position of a figure.

of sales tax is 6%, what is the final price of a Microwave oven whose list price is $110.00?

Answers

Answer: $6.6
Have a good day :D
Total is $116.60 including tax.
So sales tax is 6.60.

Which statement below describes the mode of the data represented in the relative frequency table? A) The mode of the data represented in the table is blue. B) The mode of the data cannot be determined. C) The mode of the data represented

Answers

Answer:

A

Step-by-step explanation:

Mode refers to a value that appears most frequently in a data set.

For example the mode in the data set below is 3 :

1, 2,3 4,3,3,9,10

3 is the mode because it appears 3 times in the data set while the other values appear only once.

Mode is a measure of central tendency

Other measures of central tendency includes : mean and median

Relative frequency measures how often a value appears relative to the sum of the total values. The relative frequency with the highest relative frequency value occurs the most

Blue has the highest relative frequency value

Work out the reciprocal of 0.125

Answers

Answer:

The right answer is 8 hope I helped

Please help me find the volume :3

Answers

9514 1404 393

Answer:

  (d)  539 mm³

Step-by-step explanation:

The total volume is the sum of the volumes of the parts. The volume of each part is the product of its dimensions.

volume of bottom part

  V = LWH

  V = (13 mm)(7 mm)(4 mm) = 364 mm³

volume of the top part

  V = (5 mm)(7 mm)(5 mm) = 175 mm³

Then the total volume is ...

  364 mm³ +175 mm³ = 539 mm³ . . . volume of the figure

The diameter of a sphere with a volume of 12,348 cubic ft is ___ ft.

Use ​ ≈ 3.14 and round your answer to the nearest hundredth.

Answers

Answer:

108.62ft

Step-by-step explanation:

12348=⁴/3×3.14×r²

r²=12348×¾÷3.14

r²=2,949.36

r=squareroot of 2,949.36

r=54.308

d=2r

d=54.308×2

d=108.616

Somebody please help and explain it.

Answers

Explanation is in the file

tinyurl.com/wpazsebu

The results of a survey are shown. In the survey, 28 students said their favorite dessert is ice cream. How many students were surveyed? Ice Cream: 35% Pie: 15% Candy: 23% Cake: 27%

Answers

Answer:

80 students

Step-by-step explanation:

35% = 28 students (Ice cream)

1% = 28 ÷ 35

= 0.8

Therefore,

100% = 0.8 × 100

= 80 students

Answer:

80 student

Step-by-step explanation:

28÷35×100 = 80

(section 6.1) Find the length of the small arc formed by the intersection of the unit circle a circle centered at the origin with a radius of 1: x2 + y2 = 1 and the line 2 y=1/2​

Answers

Answer:

The length of the arc is approximately 2.0944

Step-by-step explanation:

The given parameters are;

The equation of the circle = x² + y² = 1

The radius of the circle, r = 1

The equation of the line, y = 1/2

Therefore, we point where the line intersects with the circle are given as the points 'y = 1/2' as follows;

When y = 1/2, the equation of the circle becomes;

x² + (1/2)² = 1

x² = 1 - (1/2)² = 3/4

x = ±√3/2

The angle subtended by the arc, θ = 2 × arctan((√3/2)/(1/2)) = 120°

The circumference of the circle, C = 2·π·r

∴ C = 2 × π × 1 = 2·π

The length of the arc, l = (θ/360) × C

∴ l = (120/360) × 2·π = (2/3)·π

The length of the arc, l = (2/3)·π ≈ 2.0944

The length of the arc is approximately 2.09

The intersection of the unit circle a circle

From the question, we have the following parameters

The equation of the circle = x² + y² = 1

The radius of the circle, r = 1

The equation of the line, y = 1/2

The line intersects with the circle are given as the points 'y = 1/2' as follows;

When y = 1/2, the equation of the circle becomes;

x² + (1/2)² = 1

x² = 1 - (1/2)² = 3/4

x = ±√3/2

Determine the subtended angle

The angle subtended by the arc is expressed as:

θ = 2 × arctan((√3/2)/(1/2))

θ = 120°

The circumference of the circle, C = 2·π·r

C = 2 × π × 1 = 2·π

The length of the arc, l = (θ/360) × C

l = (120/360) × 2·π = (2/3)·π

The length of the arc, l = (2/3)·π ≈ 2.09

The length of the arc is approximately 2.09

Learn more on length of an arc here:https://brainly.com/question/2005046

Laura invested $1000 in a college saving account for her children that had an annual interest rate of 11% compounded continuously after 20 years how much money is in her account

Answers

Answer:

$2200

Step-by-step explanation:

1000*11%*20=2200

Which of these is a Pythagorean Triple?
1,1 square root of 2.
1, square root of 3, 2
11, 50, 51
20, 21, 29​

Answers

Answer:

1, 1, sqrt of 2

Need a bit of help, please. :D

Answers

Answer:

c.

Step-by-step explanation:

Please note that the angle A and B are somewhat close to 45deg, so we expect AC and BC to be close in length.

We can drop answer a on that basis.

We can also drop abswer d on the basis that AC is longer than AB there and that cannot be the case in a right triangle.

We can verify that for both b and c the Pythagoras theorem holds, so we need to choose the answer that fits the angles A and B. Te can check the tan of the angle to get the ratio between BC and AC.

tan(48.8deg) ~= 1.1423

1.6/1.4 ~= 1.1429; close enough.

So we choose answer c.

please give solutions kindly write and send pic in my whatsap no.( eight zero one seven zero zero zero nine five zero)​

Answers

Answer:

You simply take the values away from 180°.

a) 180-85-65 = 30°

b) 180-37-63=80°

c) 180-52-78=50°

d) 180-102-58=20°

e) 180-100-60=20°

f) 180-105-25=50°

g) 180-127-23=30°

62c + 86 = 32

A. -1.90

B. -.87

C. .35

D. 4.63

Answers

Answer:B

62ç=32-86

62c=-54

C=0.87

16=1/4x

Can someone help

Answers

Answer:

x=64

Step-by-step explanation:

Step 1: Flip the equation.

1 /4 x=16

Step 2: Multiply both sides by 4.

4*(1/4 x)=(4)*(16)

x=64

Answer: x = 64


Steps

• Multiply both side by 4 so that we can get rid of that 1/4 and solve for x.

16(4) = 1/4(4)x

64 = 1x Or 64 = x

I need help with this math problem on get more math the photo is at the top

Answers

Answer:

30

Step-by-step explanation:

6x5=30 Just took the test and got 100%

a
2.1 cm
2.9 cm
Find the value of a.

Answers

Step-by-step explanation:

[tex]a = \sqrt{ {2.9}^{2} - {2.1}^{2} } = \\ = \sqrt{8.41 -4.41 } = \\ \sqrt{4 } = 2[/tex]

The speed of a space station in orbit is about 1300 meters per second.How many kilometers per hour does the space station travel? (20 points)

Answers

Answer:

92 minutes

Step-by-step explanation:

"Roughly" 17,150 miles per hour

(which is about 5 minutes per second)

this means that the space station orbits Earth once every 92 minutes.

hoped that helps you and God bless

Please help what does x=?

Answers

Answer:

x = 25

Explanation:

If 9 is in the middle of the triangle, then the base of the triangle has to be twice as that. If you did 9•2, you’d get 18. But if you added 7, you’d get 25.

What is the distance between the points (7, 8) and (-8, 0) on a coordinate grid?

Answers

Answer:

17 units

Step-by-step explanation:

Moving from (-8, 0) to (7, 8), we see x changing by 15 units from -8 to 7 and y changing by 8 units from 0 to 8.

Regard 15 units as the horizontal leg of a right triangle and 8 units as the vertical leg.  We use the Pythagorean Theorem to determine the length of the hypotenuse of this right triangle and interpret the result as the distance between the points:

d = √(15² + 8²) = √289 = 17

The distance between the given points is 17 units.

Can someone answer this for me quickly!

Answers

Answer:

0.5

Step-by-step explanation:

If the 30 is in degrees, then the answer is 1/2 or 0.5. If the 30 is in radians, then your answer is -1.0.

Answer:

x = [tex] \boxed{\dfrac{1}{2}} [/tex] units

[As a fraction]

x = [tex] \boxed{0.5} [/tex] units

[As a decimal]

A caircular fountian has a circumference of 21 feet. Which expression can be used to find the diameter of the fountian in feet?​

Answers

Answer: [tex]21 = 2\pi r[/tex]

Step-by-step explanation:

To find the circumference of a circle, you can use [tex]2\pi r[/tex]. You can set this equal to 21 (feet). The equation to solve at this point would be [tex]21=2\pi r[/tex].

would the answer be 36?

Answers

Answer:

No, it would be 72

Step-by-step explanation:

In similar triangles, the sides are different but the angles are the same. You still had a great guess though :)

Pls give brainliest

what is the slope of the line that passes through 4,-2 and -8,6

Answers

Answer:

Slope is -2/3

Step-by-step explanation:

plzzzzz help me with this math plzzzz

Answers

Answer:

c i know just took it

Step-by-step explanation:

Answer:

C) -1(x+8)(x+7)

Step-by-step explanation:

[tex]-x^{2} -15x-56\\-1(x^{2} +15x+56)\\-1(x+8)(x+7)[/tex]

-1 factors through the entire equation.

8+ 7 = 15 and 8 x 7 = 56 (so 8 and 7 are our factors.)

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