The cylinder has a surface area of 972cm. Find x. Round to the nearest whole number.
diameter: 2x
height: 5x

Answers

Answer 1

Answer:

A= 2pirh +2pir^2

972=2 x pi x x x 5x + 2 x pi x x^2

972= 31.4x^2 + 6.28x^2

972=37.68x^2

x^2= 972/37.68

x^2=25.796

x= 25.796 square root

x= 5

Answer 2

The value of x is 5 cm.

What is a cylinder?

A cylinder is a three-dimensional figure that has a radius and a height.

The volume of a cylinder is given as

Example:

The volume of a cup with a height of 5 cm and a radius of 2 cm is

Volume = 3.14 x 2 x 2 x 5 = 62.8 cubic cm

We have,

The surface area of a cylinder = 972 cm²

The surface area of a cylinder.

= 2πrh + 2πr²

Diameter = 2x

Radius = x

Height = 5x

Now,

2πrh + 2πr² = 972

2π (rh + r²) = 972

2π (5x² + x²) = 972

2π x 6x² = 972

6x² = 972/(2 x 3.14)

6x² = 154.78

x² = 25.79

x = √25.79

x = 5.08

x = 5

Thus,

x value is 5.

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Related Questions

Starting at 1:00 p.M., The temperature changes -4 degrees Fahrenheit per hour. Write and solve an equation to find how many hours (x) it will take to reach -1 °F. please say the equation.

Answers

Answer:

0.25 hours

Step-by-step explanation:

The equation for a linear function is given by:

y = mx + b,

where y and x are variables, m is the rate of change of y with respect to x and b is the initial value of y (value of y when x = 0).

Let x represent the number of hours after 1:00 P.M and let y represent the temperature in degree Fahrenheit.

Let us assume that initial the temperature is 0°F. The temperature changes -4 degrees Fahrenheit per hour. From the equation of a linear function y = mx + b:

m = -4 degrees Fahrenheit per hour, b = 0. Hence:

y = -4x

The time taken to reach -1°F is gotten by substituting y = -1 and finding x:

y = -4x

substituting:

-1 = -4x

x = -1 / -4

x = 0.25 hours

0.25 hours = 0.25 hours * 60 minute / 1 hour = 15 minute

Therefore at 1:15 P.M, the temperature is -1°F

A glass is full. Then 65cm3 of orange juice is poured in.
The glass is now
6/7
full. What is the total volume of the glass?

Answers

6/7 is the volume of the glass

Answer: 74.2857143 milliliters

Step-by-step explanation:

65cm3 + 9.28571429 milliliters = 74.2857143 milliliters

9 more than 6 times a number? How is it written as?

Answers

Answer:

6x + 9

Step-by-step explanation:

6x + 9 because yes ok

ava pours 3 gallons of paint equally into 5 cans. how many gallon of paint will there be in each can?​

Answers

Answer:

15 gallons of paint

Step-by-step explanation:

5 x 3 = 15

equal groups !

Which answer is a solution for x?
X/7= 8
A 8
B 15
C 48
D 56

HELP MEH PLS PLS ASAP PLEASE

Answers

It’s 56(i need 20 characters to post)

(-Z - 8) - (62-5)
Help me please thank

Answers

Answer: -z-65

Step-by-step explanation:

-Z-65 dhsudisjsn sorry 20 letters lol

the difference of f and 1/3 is 1/12

Answers

Answer:

1/4

Step-by-step explanation:

1/3 - 1/12 = 4/12 - 1/12 (LCM)

= 3/12

=1/4 (simplified)

Please help. find the missing side of each triangle

Answers

Answer:

x = √146 = 12.1 (nearest tenth)

Step-by-step explanation:

Apply pythagorean theorem, c² = a² + b², where,

c = x

a = √82 km

b = 8 km

Plug in the values

x² = (√82)² + 8²

x² = 82 + 64

x² = 146

x = √146 = 12.1 (nearest tenth)

Which equation represents a line with a slope of -8 and
a y-intercept of 4?
y = -8x4
y = - 4x +8
y = -8x4
y = 8x+4

Answers

The other person is wrong, and none of them are correct since the first and third one are the same, it should be -8x+4

The equation y = -8x + 4 represents the given problem.

What is slope and y-intercept?

'The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

An intercept is a point on the y-axis, through which the slope of the line passes. It is the y-coordinate of a point where a straight line or a curve intersects the y-axis.'

According to the given problem,

We know,

Equation of a line can be represented as,

y = mx + c, where, m = slope  

                              c = y-intercept                                            

Slope of the line = -8

Y-intercept of the line = 4

Therefore,

The equation of the line:

⇒ y = -8 + 4

Hence, we can conclude, the equation y = -8x + 4 represents the given line.

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someone please help!

Answers

Answer:

The answer would be option C

Can someone please help me on this???I keep messing it up.

Answers

Answer:

The answer is B

Step-by-step explanation

As it shows in the table each week the amount adds to 75$. in the table it only shows 4 weeks amount. and the question asks you whats the amount going to be in the 7th week . the amount will be 825.

Driving would be more pleasant if we didn't have to put up with the bad habits of other drivers. A newspaper reported the results of a Valvoline Oil Company survey of 500 drivers in which the drivers marked their complaints about other drivers. The top complaints turned out to be tailgating, marked by 22% of the respondents; not using turn signals, marked by 19%; being cut off, marked by 14%; other drivers driving too slowly, marked by 9%; and other drivers being inconsiderate marked by 5%.

Required:
Make a Pareto chart showing percentage of drivers listing each stated complaint.

Answers

Answer and Explanation:

The Pareto chart is used in descriptive statistics and shows graphically the most frequent occurencies(complaints in this case) using bars and lines.

Please find attached

simplify: (2x^2y^3)3 x (4xy)2

Answers

Answer: 48yx^1+2y^3

Step-by-step explanation:

HELP IM TIMES FOR 20 MINUTES! IVE BEEN ON THIS FOR THE LONGEST!

Answers

Answer:

Point d

Step-by-step explanation:

because the x is -2 and the y is 3 so you look for the x and then the y

A small orchestra has 3 stringed instruments. What is the ratio of violins to cellos?

A. 5/15
B. 6/11
C. 5/6
D. 6/5​

Answers

Violin to Celio.

Violin : Celio

Violin = 6

Celio = 5

6:5

D. 6/5

Please help me I really need it

Answers

Answer:

Step-by-step explanation:

multiply all number then add it to 32

PLEASE HELP
HELP
ILL MARK BRAINLIEST
HELP
HELP
PLEASE HELPP

Answers

Answer:

D

Step-by-step explanation:

The others don't work as it would if it was the older men

A one is true I think

Use this table to answer questions below. Choose the correct answer.





According to the line graph, between 1950 and 1970 approximately which year had the lowest percentage of business failures?

Answers

Answer:

The answer is 1954

Step-by-step explanation:

Answer:

1954

Step-by-step explanation:

It is the lowest percentage of business failures. Refer to the scale on the left.

Edward runs 30 miles in 5 days. Martha runs 28 miles in 4 days. Who runs more miles per day?

Answers

Edward because they completed more days and miles !!
Martha because 4 (days) divided by 28 (miles) is 7 (miles)

what is the radius with an area of 2.25cm squared?​

Answers

Answer:

9 centimeters He said squared And radius...

(づ ̄ ³ ̄)づHave a nice day

quadrilateral ABCD is a kite with an area of 14cm squared. the length of ED is 5 cm. what is the length of BE?

Answers

Answer:

85

Step-by-step explanation:

The length of BE is 5.6 cm.

What is a quadrilateral?

Any closed figure made by 4 line segments joined end to end in series is called a quadrilateral.

The area of a kite can be calculated as;

A = d1 x d2 / 2

WE are given the parameters as;

d1 = ED = 5 units

A quadrilateral ABCD is a kite with an area of 14cm squared.

Therefore,

14 = 5 x BE / 2

14 x 2 = 5  BE

28 = 5 BE

BE = 5.6 cm.

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A team of ten cyclists wants to choose leaders. in how many ways can the team choose one captain and then two assistants?
PLS HELP QUICKKK

Answers

Answer:

720

Step-by-step explanation:

10 times 9 times 8 equals 720

720 ways can the team choose one captain and then two assistants.

We need to find how many ways can the team choose one captain and then two assistants.

What is the formula to find the permutation?

The formula to find the permutation is [tex]nP_{r} =\frac{n!}{(n-r)!}[/tex].

Now, [tex]10P_{3} =\frac{10!}{(10-3)!}[/tex]

=10×9×8×7!/7!=720

Therefore, one captain and then two assistants can be chosen in 720 ways.

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solve the following problem. round to one decimal place if necessary. if your answer is correct you will see an image appear on your screen

Answers

Answer:

theres no picture

Step-by-step explanation:

Will give brainliest

Answers

Answer:

.c

Step-by-step explanation:

PLEASE HELL I NEED THIS ONE FAST PLEASE

Which statement is true about the decimal expansion of ? 3/7
O A. It is a rational number because it is a terminating decimal.
○B. It is an irrational number because it is not a terminating decimal.
○C. It is a rational number because after reaching a remainder of 3 for the second time the quotient will start repeating.
O D. It is an irrational number because after reaching a remainder of 3 for the second time the quotient will start repeating.​

Answers

Answer:

A is the answer because divide 7 divided by 3 a

HELP PLEAASE I WILL GIVE BRAINLIEST PLSSSSSS I WILL GIVE BRAINLIEST

Answers

Answer:

It is B

Step-by-step explanation: n is -1.5 and m is 2.5

-1.5 + 2.5 = 2

Answer:

I feel like it is the second one B

Step-by-step explanation:

Because it is the one that makes sense and is true.

if you help i will say thank you​

Answers

Answer:

C

Step-by-step explanation:

(5,-4)

Answer:

C

Step-by-step explanation:

(5,-4) by using elimination method

solve for x. show your work.​

Answers

Hello!

[tex]\large\boxed{x = 8}[/tex]

The two angles pictured are corresponding angles, so they are congruent.

Therefore:

17x - 4 = 12 + 15x

Isolate for x by subtracting 15x from both sides:

2x - 4 = 12

Add 4 to both sides:

2x = 16

Divide both sides by 2:

x = 8.

Answer:

x=8

Step-by-step explanation:

These angles are what we call corresponding angles. This simply means that they are the same. Therefore, we set 17x-4 equal to 12+15x. To isolate x, add 4 to both sides, and subtract 15x from both sides. 2x=16. x=8. To check, both angles = 132 degrees.

Cheryl writes 7 fewer posts than Kevin on a social media site.
Answer the questions to write an algebraic expression. Then evaluate the expression for the given value.
1. Choose a variable to represent the number of posts Kevin writes. Explain why you chose this variable. 2. Which operation (addition, subtraction, multiplication, or division) applies to this situation? Justify your choice. 3. Use your variable and the operation you identified to write an expression for the number of posts Cheryl wrote.
4. If Kevin wrote 21 posts, how many did Cheryl write?

Answers

Answer:

Cheryl writes 7 fewer posts than Kevin on a social media site.

Answer the questions to write an algebraic expression. Then evaluate the expression for the given value.

1. Choose a variable to represent the number of posts Kevin writes. Explain why you chose this variable. (2 points)

The expression will be P for "of posts Kevin writes." 

2. Which operation (addition, subtraction, multiplication, or division) applies to this situation? Justify your choice. (2 points)

 The operation I will use is subtraction so P-7.

3. Use your variable and the operation you identified to write an expression for the number of posts Cheryl wrote. (3 points)

Subtraction would be the operation and my expression would be ( P-7 ) which would also be ( 21 - 7 )

4. If Kevin wrote 21 posts, how many did Cheryl write? (3 points)

Cheryl wrote 14 posts, because 21 - 7 = 14

Hope this helps <3

1. We have chosen a variable 'x' to represent the number of posts by Kevin.

2. Subtraction applies to this situation.

3. The number of posts written by Cheryl is (x - 7).

4.  If Kevin wrote 21 posts, Cheryl wrote 14 posts.

What is an equation?

An equation is written in the form of variables and constants separated by the operation of multiplication and division,

An equation states that terms in different forms on both sides of the equality sign are equal.

Multiplication and division do not separate the terms of an equation.

Let, Kevin writes 'x' number of posts,

Therefore, Cheryl writes (x - 7) posts.

We could have chosen any letters for the number of posts Kevin writes,

And as Cheryl writes fewer posts than Keving we subtracted the number.

If Kevin writes 21 posts, 'x' is 21, And hence Cheryl has written,

(21 -7).

= 14 posts.

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X-8-3X-10
Use distributive property

Answers

Answer:

5x-10

Step-by-step explanation:

8x-3x-10

first you subtract 3from 8 and get 5 just add the x so your left with 10

Answer:

-2(x+9)

Step-by-step explanation:

x-8-3x-10

-4x-18

-2(x+9)

Hope it helps you

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