The volume of a cylinder is 47x3 cubic units and its height is x units.
Which expression represents the radius of the cylinder, in units?
2x
4x
2x2
4x2

Answers

Answer 1

Answer:

c

Step-by-step explanation:

Answer 2

The expression for the radius of the cylinder is r = 2x units

What is a Cylinder?

A cylinder is a three-dimensional shape consisting of two parallel circular bases, joined by a curved surface. The center of the circular bases overlaps each other to form a right cylinder. The volume of a cylinder is

Volume of Cylinder = πr²h

Surface area of cylinder = 2πr ( r + h )

where r is the radius of the cylinder

h is the height of the cylinder

Given data ,

Let the volume of the cylinder be represented as V

Now , the value of V is

V = 4πx³ units

where the height of the cylinder is h = x units

So , the Volume of Cylinder = πr²h

On simplifying , we get

4πx³ = πr²h

Substituting for h , we get

4πx³ = πr² ( x )

Divide by πx on both sides , we get

r² = 4x²

Taking square roots on both sides , we get

r = 2x units

Therefore , the value of r is 2x units

Hence , the radius of the cylinder is 2x units

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Related Questions

PLEASEEE HELPPP MEE WITH THIS QUESTION!!!!!!! I REALLY NEED HELP!!!!! PLS ANSWER IT CORRECTLY NO GUESSING PLSS HELP ASAP!!!!!!!

Answers

Answer: Because each leaf will not have a single digit.  

Step-by-step explanation:

What concept did the founders of the united states borrow from the ancient greeks?

Answers

i believe it’s that they made it a democracy :) hope this helps !

3x-2= 4x+9/3 whats the solution

Answers

The answer is x=-5
Hope this helps!
3 x - 2 = 4 x + 9/3

Multiply both sides of the equation by 3

9 x - 6 = 4x + 9

Move variable to the left-hand side and change its sign

9 x - 4 x - 6 = 9

Collect like terms

5 x = 9 + 6

Divide both side of the equation by 5


X = 3


And you answer is X = 3


Thanks :)

Identify the zero(s) of [tex]f(x)=4x^{2} - 20x - 56[/tex]. -- Urgent 10 minutes! Many points!

Answers

Answer:

x = - 2, x = 7

Step-by-step explanation:

Given

f(x) = 4x² - 20x - 56

To find the zeros let f(x) = 0, that is

4x² - 20x - 56 = 0 ( divide through by 4 )

x² - 5x - 14 = 0 ← in standard form

(x - 7)(x + 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 2 = 0 ⇒ x = - 2

x - 7 = 0 ⇒ x = 7


6.4 m
12m
12.5 m
rectangular prism

Answers

Answer:

Volume: 9500 m^3

Step-by-step explanation:

6.4 * 12 = 76.8

76.8 * 12.5 = 9500

a. How long is 50% of 60 minutes?

Answers

Answer:

30 mn

Step-by-step explanation:

You need to calculate :

60 × 50% = 60×(50÷100)

                =3000÷100

                = 30

Algebra sucks help me

Answers

Answer:

The answer would be D

Step-by-step explanation:

It is the only one that makes sense ;-;

(hope this is correct)

Please help its in math

Answers

Answer:

989 in^2

Step-by-step explanation:

The surface area of the larger cube is

SA = 5 s^2  because she will stain all the sides but the bottom one

SA = 5 * 11^2 = 5*121 = 605

The surface area of the smaller cube is

SA = 6s^2 since she will stain all sides

SA = 6* 8^2 =6*64 =384

Add both surface areas together

605+384

989

Answer:

989 square inches

Step-by-step explanation:

Let's start by finding the surface area of the bottom cube. It has six sides with side length 11, meaning that each side has area 11^2=121. Multiplying this by 5(since she's not staining the bottom), you get 605. For the second sphere, you can calculate this with the expression 6 * 8^2=384. Adding these together, you get a total surface area of 989 square inches. Hope this helps!

If f(x)= x-3 over x and g(x)= 5x-4 what is the domain of (f•g)(x)

Answers

Answer:

I attached the work to your problem below.

I hope it helps.

The two line plots below show the times that Marco and Antonio ran in ten trials of the 40-yard dash.

antonio's:4.5,4.5,4.6,4.6,4.6,4.8,4.8,5.2,5.2,5.3,5.5

Marcos's:4.8,4.8,4.9,4.9,4.9,4.9,5.0,5.0,5.0,5.1

Which of the following can be inferred from the data?

A. Antonio runs the race faster than Marco on average.

B. Marco always runs a better time than Antonio.

C. Marco is more likely than Antonio to improve after a poor race.

D. Antonio's average time is about 5.1 seconds,


Answers

Step-by-step explanation:

The answer is A

Bcz In a race runs faster whoever does it in less time

20 points if you help please!!!!!!!!!!!!

Answers

Answer:

C and E

Step-by-step explanation:

What is 3x²-2 if x is -3

Answers

Answer:

Step-by-step explanation:

3x² -2 =3*(-3)²-2=3*9 - 2

         = 27 - 2

        = 25

Is 313756 divisible by 9?

Answers

Answer:

No.

Step-by-step explanation:

313756 is not divisible by 9 .

Easy way to find it out. - 313756

3+1+3+7+5+6 = 25

25 is not divisible by 3...so , it is not divisible by 9 too

Hope it helps you

Write the equation of the hyperbola centered at the origin with focus (74, 0) and asymptote y=-7/5x
The equation of the hyperbola is =x^2/a^2-y^2/b^2=1

Answers

The equation of the given hyperbola is; x²/25 - y²/49 = 1

What is the equation of the hyperbola?

We are given;

Focus = (74, 0)

Asymptote; y = -⁷/₅x

Centered at origin

We are given that the general form of equation of a hyperbola is;

x²/a² - y²/b² = 1

Now, we know that the equations of the asymptotes are;

y = ±(b/a)x

Thus, comparing the above with our asymptote of y = -7/5x gives us;

a = 5 and b = 7

Thus, the equation of the given hyperbola is;

x²/5² - y²/7² = 1

⇒ The equation of the given hyperbola is;

x²/25 - y²/49 = 1

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Answer:

The answer is 5 and 7

Step-by-step explanation:

Polygon ABCD is defined by the points A(-4,2) B(-2, 4), C(1, 3) & D(2,2). Match the coordinates of the points of the transformed polygons to their correct values

Answers

Answer:

D'(-2, 2); C''(3, -1); A'''(4, -2); and B''(4, 2)

Step-by-step explanation:

See attachment for the figure.

For D', rotating the point (2, 2) 90° counterclockwise. This maps each point (x, y)→(-y, x); it takes (2, 2)→(-2, 2).  

For C'', rotating the point (1, 3) 90° clockwise.  This maps each point (x, y)→(y, -x); it takes (1, 3)→(3, -1).

For A''', rotating the point (-4, 2) 180° clockwise.  This maps every point (x, y)→(-x, -y); it takes (-4, 2)→(4, -2).

For B'', rotating the point (-2, 4) 270° counterclockwise.  This is the similar as rotating the point 90° clockwise.  This maps every point (x, y)→(y, -x); it takes (-2, 4)→(4, 2).

An artist can sell 20 copies of a painting at $100 each, but for each additional copy he makes, the value of each painting will go down by a dollar. Thus, if 22 copies are made, each will sell for $98. How many copies should he make to maximize his sales?

Answers

Answer:

60 copies

Step-by-step explanation:

Answer: 60 copies

Step-by-step explanation:

Find the area of the semicircle. Round your answer to the nearest hundredth.
2 ft
Área: about?

Answers

Answer:

The answer would be .39

Step-by-step explanation:

So first we have to know the eqation to finding the area of a semicircle, this would be:

2r x π  ÷ 2 (r stands for radius)

Ok so since our diameter is 2 we need to divide that in half to find our radius which we would then get .5

And then you we would fill in the blanks and make our eqaution :

2 x 0.5 x 3.14  ÷ 2 which would give us the answer of .39

i have no idea if this is right so pls lmk!

*Some help please?*
The graph of g(x) is a transformation of the graph of f(x)=3^x.

Enter the equation for g(x).

g(x) =

Answers

Answer:

I'm sorry this is kind of a hard question

Evaluate this expression.
5^2 +3 (8-2)
A. 28
B. 32
C. 43
D. 47
E. 168

Answers

Answer:

C. 43

Step-by-step explanation:

A fountain is made up of two semicircles and a quarter circle. Find the perimeter of the fountain. Round your answer to the nearest tenth. The perimeter of the fountain is about a feet.

Answers

complete question:

A fountain is made up of two semicircles and a quarter circle. The diameter of the semicircles is 10 ft.  Find the perimeter of the fountain. Round your answer to the nearest tenth.  The picture is represented below.

Answer:

The perimeter of the fountain = 47.1  ft

Step-by-step explanation:

The fountain has 2 semi circle from a smaller circle with the diameter represented as 10 ft and a quarter circle from a bigger circle with the radius equals to 10 ft.

The perimeter is the distance around the fountain.The perimeter is the circumference in circular perspective. Therefore,

perimeter for a full circle = 2πr

Half circle = 2πr/2 = πr

For 2 half circle = πr + πr = 2πr

For 2 half circle = 2πr

r = 10/2 = 5

perimeter for 2 half circle = 2 ×  5 × 3.14 = 31.4  ft

Perimeter for the quarter circle

r = 10 ft

Quarter circle perimeter = 1/4 × 2πr = πr/2

Quarter circle perimeter = (3.14 × 10)/2

Quarter circle perimeter = (31.4)/2

Quarter circle perimeter = 15.7  ft

The perimeter of the fountain = 15.7  ft + 31.4  ft = 47.1  ft

Answer:

47.1

Step-by-step explanation:

47.1

please make me branlyest

What is the distance between (-6. 2) and (8.10) on a coordinate grid?

Answers

Answer:

The distance between 2 points is 16.1 units.

Step-by-step explanation:

You have to apply distance formula using coordinates,

[tex]distance = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } [/tex]

Let (x1,y1) be (-6,2),

Let (x2,y2) be (8,10)

[tex]distance = \sqrt{ {(8 - ( - 6))}^{2} + {(10 - 2)}^{2} } [/tex]

[tex]distance = \sqrt{196 + 64} [/tex]

[tex]distance = \sqrt{260} [/tex]

[tex]distance = 2 \sqrt{65} [/tex]

[tex]distance = 16.1 \: units \: (3s.f)[/tex]

Solve the inequality

-7x + 12 = 75

Answers

Answer:

12/75 = 4/25

Step-by-step explanation:

Answer: x = -9

Explanation:

PLEASE HELP - One of the solutions to the x to the second power -14x + 45 =0 is x=5. What is the other solution?
- I think the answer is either 9 or -9!!! Please tell me what u think, thank u!! Very appreciateddd :))

Answers

Step-by-step explanation:

x^2 -14x + 45 =0

look for two numbers that their :

sum= - 14 (-5 & -9)

products = 45 (-5 & -9)

so,

(x-5)(x-9)=0

thus,

x=5, x=9 (ANS)

A rectangular swimming pool is 10 meters long and 4.5 meters wide. If the volume of the
water in the pool is 72 cubic meters, how deep is the water?
(4 Points)
Hin Volume
h Identh

Answers

Answer: 1.6 meters deep

Step-by-step explanation:

LxWxH

10x4.5 = 45

45x1.6 = 72

Answer:

[tex]1.6m[/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

To the nearest hundredth, what is the circumference of a circle with a radius
of 5 units?

Answers

Answer:

31.42

Step-by-step explanation:

I think that's right. Hopefully it is.

The radius of a circle is 2 units.what is it’s circumference

Answers

Answer:

see below

Step-by-step explanation:

The circumference of a circle is given by

C = 2 * pi *r

C = 2 * pi *2

C = 4pi

Let pi = 3.14

C = 4 * 3.14

C =12.56

Using the pi button

C =12.56637061

Answer:

12.571428...units or [tex]\frac{88}{7}[/tex]

Step-by-step explanation:

Circumference of a circle= [tex]2\pi r[/tex]

Radius(r)= 2 units

∴Circumference= [tex]2*\frac{22}{7}*2 units[/tex]

                            = [tex]\frac{88}{7} units[/tex]

                            = 12.571428.....units

Which is greater, 4.87 x 10^9 or 9.212 x 10^8?
please helpp

Answers

Answer: 4.87 x 10^9  is greater than 9.212 *10^8

Step-by-step explanation:

4.87 x 10^9  is greater than 9.212 *10^8 because it has the greater exponent.

4.87 * 10^9 =  4,870,000,000

9.212 *10^8= 921,200,000

4,870,000,000 > 921,200,000

A pack of 6 waters costs $5.10. How much does 1 water cost?

Answers

So each bottle of water costs $0.85

look at the attached picture

Hope it will help you..

Answer:

85 cents

Step-by-step explanation:

divide 5.10 by 6

A student got 78 marks out of a possible 120. Express the students mark as a percentage

Answers

The answer is 65%


(78/120)*100

=65%

The student's mark can be expressed as 65%.

To express the student's mark as a percentage, you need to divide the number of marks obtained by the possible marks and multiply by 100.

In this case, the student got 78 marks out of a possible 120.

Percentage = (Marks Obtained / Possible Marks) * 100

Percentage = (78 / 120) x 100

Percentage = 0.65 x 100

Percentage = 65%

Therefore, the student's mark can be expressed as 65%.

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A card is drawn from a normal 52 card deck. The card number and sum are noted, the card is placed back in the deck, then another card is drawn. Find the probability that a) the first card was a queen and the second card as a 10. b) the first card was the Queen of Hearts and the second card was an 8. c) both cards were Jacks. d) the first card was the 5 of Spades and the second card was the Ace of Hearts.

Answers

Step-by-step explanation:

a) There are 4 Queens in a deck, so the probability the first card is a Queen is 4/52 = 1/13.

There are 4 10s in a deck, so the probability the second card is a 10 is 4/52 = 1/13.

The probability of both events is 1/13 × 1/13 = 1/169.

b) There is 1 Queen of Hearts in a deck, so the probability the first card is a Queen of Hearts is 1/52.

There are 4 8s in a deck, so the probability the second card is a 8 is 4/52 = 1/13.

The probability of both events is 1/52 × 1/13 = 1/676.

c) There are 4 Jacks in a deck, so the probability the first card is a Jack is 4/52 = 1/13.

There are 4 Jacks in a deck, so the probability the second card is a Jack is 4/52 = 1/13.

The probability of both events is 1/13 × 1/13 = 1/169.

d) There is 1 5 of Spades in a deck, so the probability the first card is a 5 of Spades is 1/52.

There is 1 Ace of Hearts in a deck, so the probability the first card is a Ace of Hearts is 1/52.

The probability of both events is 1/52 × 1/52 = 1/2704.

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