Given a cylinder with a surface area of 2532 cm (squared) and radius of 9 cm, calculate the height of this cylinder to the nearest tenth.
A. 36 cm
B. 282.6 cm
C. 45
D. 10

Answers

Answer 1

Answer:

A. 36.4cm = h

Step-by-step explanation:

A=2πrh+2πr²               This is the equation to find the surface area of a cylinder

2532 = 2π(9)h + 2π(9)²       Multiply

2532 = 18πh + 2π(81)          Multiply

2532 = 56.55h + 162π        Multiply

2532 = 56.55h + 508.94  

-508.94              - 508.94   Subtract 508.94 from both sides

2023.06 = 56.55h               Divide both sides by 56.55

36.4cm = h

If this answer is correct, please make me Brainliest!


Related Questions

two consecutive integers whose product is 17

Answers

Answer:

8 and 9

Step-by-step explanation:

8 comes after 9 and 8 + 9 = 17

8 and 9 would be the answer

If you have a cubic polynomial of the form y = ax^3 + bx^2 + cx + d and lets say it passes through the points (2,28), (-1, -5), (4, 220), and (-2, -20) what would the coefficients a, b, c, and d equal? So confused, I'd greatly appreciate help! Thank you!

Answers

Step-by-step explanation:

Step 1:  Solve using the first point

(2, 28)

[tex]28 = a(2)^3 + b(2)^2 + c(2) + d[/tex]

[tex]28 = 8a + 4b + 2c + d[/tex]

Step 2:  Solve using the second point

(-1, -5)

[tex]-5 = a(-1)^3 + b(-1)^2 + c(-1) + d[/tex]

[tex]-5 = -a + b - c + d[/tex]

Step 3:  Solve using the third point

(4, 220)

[tex]220 = a(4)^3 + b(4)^2 + c(4) + d[/tex]

[tex]220 = 64a + 16b + 4c + d[/tex]

Step 4:  Solve using the fourth point

(-2, -20)

[tex]-20 = a(-2)^3 + b(-2)^2 + c(-2) + d[/tex]

[tex]-20 = -8a + 4b - 2c + d[/tex]

Step 5:  Combine the first and fourth equations

[tex]28 - 20 = 8a - 8a + 4b + 4b + 2c - 2c + d + d[/tex]

[tex]8 = 8b + 2d[/tex]

[tex]8 - 8b = 8b - 8b + 2d[/tex]

[tex](8 -8b)/2 = 2d/2[/tex]

[tex]4 - 4b = d[/tex]

Step 6:  Solve for c in the second equation

[tex]-5 + 5 = -a + b - c + d + 5[/tex]

[tex]0 + c = -a + b - c + c + d + 5[/tex]

[tex]c = -a + b + d + 5[/tex]

Step 7:  Substitute d with the stuff we got in step 5

[tex]c = -a + b + (4 - 4b) + 5[/tex]

[tex]c = -a + b + 4 - 4b + 5[/tex]

[tex]c = -a - 3b + 9[/tex]

Step 8:  Substitute d and c into the first equation

[tex]28 = 8a + 4b + 2(-a - 3b + 9) + (4 - 4b)[/tex]

[tex]28 = 8a + 4b - 2a - 6b + 18 + 4 - 4b[/tex]

[tex]28 - 22 = 6a - 6b + 22 - 22[/tex]

[tex]6 / 6 = (6a - 6b) / 6[/tex]

[tex]1 + b = a - b + b[/tex]

[tex]1 + b = a[/tex]

Step 9:  Substitute a, b, and c into the third equation

[tex]220 = 64(1 + b) + 16b + 4(-(1 + b) - 3b + 9) + (4 - 4b)[/tex]

[tex]220 = 64 + 64b + 16b + 4(-1 - b - 3b + 9) + 4 - 4b[/tex]

[tex]220 - 100 = 60b + 100 - 100[/tex]

[tex]120 / 60 = 60b / 60[/tex]

[tex]2 = b[/tex]

Step 10:  Find a using b = 2

[tex]a = b + 1[/tex]

[tex]a = (2) + 1[/tex]

[tex]a = 3[/tex]

Step 11:  Find c using a = 3 and b = 2

[tex]c = -a - 3b + 9[/tex]

[tex]c = -(3) - 3(2) + 9[/tex]

[tex]c = -3 - 6 + 9[/tex]

[tex]c = 0[/tex]

Step 12:  Find d using b = 2

[tex]d = 4 - 4b[/tex]

[tex]d = 4 - 4(2)[/tex]

[tex]d = 4 - 8[/tex]

[tex]d = -4[/tex]

Answer:  [tex]a = 3, b = 2, c = 0,d = -4[/tex]

Answer:

a = 3

b = 2

c = 0

d = -4

Step-by-step explanation:

Form 4 equations and solve simultaneously

28 = a(2)³ + b(2)² + c(2) + d

28 = 8a + 4b + 2c + d (1)

-5 = -a + b - c + d (2)

220 = 64a + 16b + 4c + d (3)

-20 = -8a + 4b - 2c + d (4)

(1) + (4)

28 = 8a + 4b + 2c + d

-20 = -8a + 4b - 2c + d

8 = 8b + 2d

d = 4 - 4b

Equation (2)

c = -a + b + d + 5

c = -a + b + 4 - 4b+ 5

c = -a - 3b + 9

28 = 8a + 4b + 2c + d (1)

28 = 8a + 4b + 2(-a - 3b + 9) + 4 - 4b

28 = 6a - 6b + 22

6a - 6b = 6

a - b = 1

a = b + 1

220 = 64a + 16b + 4c + d (3)

220 = 64(b + 1) + 16b + 4(-b - 1 - 3b + 9) + 4 - 4b

220 = 60b + 100

60b = 120

b = 2

a = 2 + 1

a = 3

c = -3 - 3(2) + 9

c = 0

d = 4 - 4(2)

d = -4

Fine the slope of a line parallel to y=-2/5x+4/5

5/2

2/5

-5/2

-2/5

Answers

Answer:

-2/5

Step-by-step explanation:

Parallel lines have the same slope to each other. So if one line has a slope of -2/5, the line parallel to it will also have a slope of -2/5.

Hope this helps!

Answer:

-2/5

Step-by-step explanation:

The slope of the parallel line is going to be the same as the original line.

Which are these two, please help

Answers

Answer:

4. this would be a positive correlation

5. this has no correlation

Step-by-step explanation:

I hope that was the answer you are looking for

Answer:

The first one has a positive association. You can see that if you were to make a like marking the average rate of change, it would be positive.

For the second one, it would actually be both positive and negative. But Since it does both, it has no correlation.

Step-by-step explanation:

WILL MARK BRAINLIEST!!! OWO

Answers

Answer:

G equilateral

Step-by-step explanation:

scalene = all the sides of the triangle are not equal

isosceles = two sides of the triangle is equal

Answer should be equilateral = All the sides of the triangle is equal.

F H J are not describing any triangle.

Answer:G equilateral

Step-by-step explanation:

^///^

The heights of 200 adults were recorded and divided into two categories.
6' or over
Under 6
Male
14
88
Female
2
Which two-way frequency table correctly shows the marginal frequencies?

Answers

Answer: the answer is B

Step-by-step explanation:

14+6 is 16. Add 88 to 16 and you get 104. 200-104=96.

The two-frequency table that correctly shows the marginal frequencies of the given data is: B.

What is a Marginal Frequency in a Two-way Frequency Table?

In a two-way frequency table, the marginal frequency is simply the the sum of any one of the columns or rows in a data.

In table B, 14 + 6 equals 16, so also does 88 + 16 = 104. Subtract 104 from 200, and you have 96.

Therefore, table B correctly shows the marginal frequencies.

Learn more about marginal frequencies on:

https://brainly.com/question/16377212

#SPJ2

Please Answer ASAP!

Subtracting a number is the same as adding its opposite. Use this understanding to complete each of the equations below.

Enter numbers to evaluate ‐13−23.

‐13−23= ‐13 + ___

= ___

Enter numbers to evaluate ‐13−(‐23).

‐13−(‐23)= ‐13 + ____

= _____

Answers

Step-by-step explanation:

-13 - 23 = -13 + (-23)

= -36

-13 - (-23) = -13 + 23

= 10

Answer:

Step-by-step explanation:

-13 - 23 = -13 + (-23)

= -36

-13 - (-23) = -13 + 23

=10

Help me asap I’m turning this in late please hep

Answers

Answer:

The answer is 27 If not please correct me!

Answer:

27

Step-by-step explanation:

You need to plug 100 in for m and multiply that. Then you need to add 7 to 20 to get your answer.

Hope this help.

11. Your company earns extra money by advertising other local businesses in their monthly newsletter . You charge $145 for a half -page ad , and $ 260 for a full - page ad in the newsletter . the company earned a total of 1650 from ad sales last month , how many full page , and how many half page ads did you sell ?

Answers

Answer:

six half page ads and three full page ads

Step-by-step explanation:

6*145= 870

3*260= 780

870+780= 1650

Find the missing angle.

Answers

Answer:

127

Step-by-step explanation:

Answer:

x= 127 degrees

Step-by-step explanation:

use the vertical angles theorem to say that x=90*+37*. So, x=127 degrees.

Which is an equation for the parabola that has a vertex (6,-3) and passes through the point (2,-2)

Answers

Answer:

c

Step-by-step explanation:

Answer:

The Correct Answer is in fact C : x= -4y^2 -24y -30

Step-by-step explanation:

If you look at the image I attached you can see that C is the only one touching those point

Don't forget to like :)

Frank will paint a wall that measures 10 feet by 14 feet what is the area of the wall that frank will paint

Answers

Answer:

140 ft squared

Step-by-step explanation:

Answer:

140 ft

Step-by-step explanation:

10 × 14 = 140 so the answer is 140 ft

Which graph represents the function f(x) =1/3 |x|?

Answers

Step-by-step explanation:

f(x) = 1/3|x|

then

f(x) = 1/3x  , if x ≥ 0

and

f(x) = -1/3x  , if x ≤ 0

the slope of f(x) = 1/3x is 1/3

the slope of f(x) = -1/3x is -1/3

this two above conditions apply on to the fourth graph to the right.

If you need to show multiplication, do not use the letter w. Use the asterisk
(*) symbol instead, or simplify your answer.
Mr. Jones's algebra class has too many students in it. If the class were split
exactly in equal parts to form 3 new classes, each class would have no more
than 14 students in it

Answers

Answer:

42 students total, 14*3=42

Step-by-step explanation:

I'm not exactly sure what the question is, but I am assuming that it is , How many students were in the original class?

If you have 14 students in 3 classes, then you need to multiply each class by 14.

14 students × 3 classes = 42 students in the original class

The graph of quadratic function k is shown on the grid.
у
Which statements are best supported by the graph of k?
11
10
I. The x-intercept is located at(-3,0).
II. The coordinates of the y-intercept are(0,9).
III. The axis of symmetry 15 X=-3.
F I and II only
G I and III only
HII and III only
J
I, II, and III

Answers

Answer:

The answer is I, II, and III.

Step-by-step explanation:

Answer: I , II , III

Step-by-step explanation:

Does choosing a blue marble represent the complement event of choosing a red marble? Explain.

Answers

Answer:

No, the probability of choosing a red marble is not the complement of choosing a blue marble.

P(red) + P(blue) = 3/5, not 1.

The number of blue and red marbles does not add to the total number of outcomes.

There are other marbles besides red ones and blue ones.

Step-by-step explanation:

i got it right.

Answer:

The complementary event for choosing a red marble is choosing a blue or purple. The total number of marbles is 5. The probability of choosing a red marble is 1/5, and the complement would be 4/5. That is not the same as choosing a blue marble.

A man has 1/4 of a kilogram of couscous. He shared them equally among 2 people. How many kilograms does each person get? Input your answer as a fraction of a kilogram.
I got an answer that felt way off... I just need to make sure I'm right!

Answers

Answer:

1/8 maybe

Step-by-step explanation:

Answer:

1/8

Step-by-step explanation:

|5−4r|=17
Can someone answer this question for me?? I will mark you brainliest if you get the correct answer!!

Answers

Answer:

R=-3 which is the same thing as 11/2

Step-by-step explanation:

Answer:

r=−3,11/2

Step-by-step explanation:

thats what I got

(09.01 LC))
For f(x) = x2 and g(x)=(x-3)2, in which direction and by how many units should f(x) be
shifted to obtain g(x)? (5 points)

Answers

Answer:

3 units to the right

Step-by-step explanation:

Given f(x) then f(x + a) represents a horizontal translation of f(x)

• If a > 0 then a shift of a units to the left

• If a < 0 then a shift of a units to the right

Thus

g(x) = (x - 3)² is f(x) shifted to the right by 3 units

Consider the cartesian equation of a circle, y=-2+- sqrt 36-(x-1)^2 , verses the parametric equations of the same circle: x=1+6 cos t y=-2+6sin t

Answers

What are the advantages of the parametric equations

Answer:

Step-by-step explanation:

Parametric equations shows the relation between a group of quantities by expressing the coordinates of points of a curve and function as one or more independent variables.

From  the question given; the advantages of parametric equations  given

x = 1 + 6 cos t

y= -2 + 6 sin t

are :

1) For a given value of the independent variable the parametric equation is used exactly one point on the graph

2) the parametric equations  have a finite domain

3) the parametric equation is easier to enter into a calculator for graphic

Answer:

That dude was wrong on one of them!

A, C, E

A functiom is graphed on the coordinate plane.

What is the value of the function when x=4?​

Answers

Answer: The answer is 2. Go open of the x line 2 then it lines up with the y.

Answer:

I thought it was 1

Step-by-step explanation:

Writing What is the diameter of a circle with a circumference of 11.277 ft? Use pencil and paper.
The diameter is
ft.

Answers

I hope this helps you

Which expression can be used to find the surface area of the following rectangular prism?

Answers

Answer:

d

Step-by-step explanation:

to find the surface area you have to add all the following numbers and double them

hope this helps

Answer:

D, if it is correct plz say thanks to let me know it is correct

Step-by-step explanation:

Evaluate (if possible) the six trigonometri
trigonometric functions of the real number t. (If an answer is undefined, enter UNDEFINED.)

t= 4π/3

Answers

Answer:

undefined

Step-by-step explanation:

What is the measure of ∠4?

Answers

I am pretty sure that four would equal 59 degrees because 60+61 equals 121 degrees and that line should in total equal 180. So you would do 180-121 which gives you 59.

Help plz!!!!! I need help

Answers

Answer: J and K

Step-by-step explanation:

[tex]\sqrt{20}[/tex] is about [tex]4.472135[/tex]

Answer:

J and K

Step-by-step explanation:

√20=4.47

4.47 is almost in between J and K in the number line.

Hence, it's J and K.

Can Somebody Help Me On This Plzzzz ???????????

Answers

Answer:

its D

Step-by-step explanation:

Which description best compared the graph of the two functions below?

Answers

Answer:

The description that best compares the graph of the two function is:

         The line for function A is steeper.

Step-by-step explanation:

Answer:

The line for function a is a steeper

Step-by-step explanation:

Find a numerical value of one trigonometric function of x for cscx = sinx tanx + cosx

Answers

Answer:

Step-by-step explanation:

we have

[tex]cscx = sinx tanx + cosx\\\\\frac{1}{sinx}=sinx.\frac{sinx}{cosx} +cosx\\\\\frac{1}{sinx}.sinx.cosx= sinx.\frac{sinx}{cosx}.sinx.cosx+cosx.sinx.cosx\\ cosx= (sinx)^{3} +sinx.(cosx)^{2} \\cosx= sinx[(sinx)^{2}+(cosx)^{2})\\ cosx=sinx.1\\cosx=sinx\\tanx=1\\x=\frac{\pi}{4} +k\pi,k-integer.[/tex]

Answer:

cot x=1

Step-by-step explanation:

got it right

The McPhearson family went fishing. They caught 7 fish. The weights of the fish were 15, 16, 15, 13, 19, 20, and 21 pounds. What is the mean weight of these fish? Answer options with 4 options A. 15 B. 16 C. 17 D. 18

Answers

Answer:

C. 17

Step-by-step explanation:

The mean weight can be calculated by adding the numbers 15 + 16 + 15 + 13 + 19 + 20 + 21 divided by the number 7, which is the amount of numbers you just added.

(15 + 16 + 15 + 13 + 19 + 20 + 21)/7

the outcome = 17 which corresponds to answer C.

Answer: The answer is C.17

Step-by-step explanation: