Use the figure to answer the following.
a. What is the surface area of the cylinder? Leave your answer in terms of x.
b. Suppose the diameter and the height of the cylinder are cut in half. How does this affect the surface area of the cylinder? Explain
The diameter of the cylinder is 8 and the height is 11

Answers

Answer 1

a. The surface area of the cylinder is 120π square units.

b. Assuming the diameter and the height of the cylinder are cut in half, the surface area of the cylinder would be reduced by a scale factor of 1/4.

How to calculate surface area of a cylinder?

In Mathematics and Geometry, the surface area (SA) of a cylinder can be calculated by using this mathematical equation (formula):

SA = 2πrh + 2πr²

Where:

h represents the height.r represents the radius.

Note: Radius = diameter/2 = 8/2 = 4 m.

By substituting the side lengths into the formula for the surface area (SA) of a cylinder, we have the following;

Surface area = 2πrh + 2πr²

Surface area = 2(π)(4)(11) + 2(π)(4²)

Surface area = 120π square units.

Part b.

Assuming the diameter and the height of the cylinder are cut in half, we have:

Surface area = 2(π)(4/2)(11/2) + 2(π)((4/2)²)

Surface area = 2(π)(2)(5.5) + 2(π)(2²)

Surface area = (π)(2)(11) + 2(π)(4)

Surface area = 22π + 8π

Surface area = 30π square units.

Scale factor = 30π/120π

Scale factor = 1/4.

Read more on surface area here: brainly.com/question/27118100

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Note: "The diameter of the cylinder is 8 and the height is 11"


Related Questions

Please help this is due today!

Calculate the unknown missing angle measures.

Do not answer this with one answer ,blank, or a ridiculous answer.... this is serious please.

Answers

Answer:

x=63+86

Step-by-step explanation:

due to circle theory

Change 5 into a rational number a/b

Answers

Answer:

[tex]\frac{5}{1}[/tex]

Step-by-step explanation:

I dont understand it​

Answers

Answer:

30xy

Step-by-step explanation:

I divided this shape into a square and a rectangle.

Solve:

First I multiplied 2x and 3y

2x*3y= 6xy

Then I multiplied 6x and 4y

6x*4y= 24xy

Then I added them together

24xy+6xy= 30xy

Hope this helps!

Which of the following inequalities does the graph represent

Answers

Answer:

di KO kaya sorry kahit ako dipa KO talks dyan

PLEASE ANSWER THIS QUESTION!!!!!!!!!!!!!

uhhh... my math grade is a D and i dont have my phone and i want it back so please just help me, this will get my grade up to a C or a B at least so help

Answers

Answer:

function one

Step-by-step explanation:

the x intercept in function one is a negative number

Answer: function one

Step-by-step explanation:

HURRYYY PLEASE AND THANK YOUUMrs. Green wants to make some toys for a store. She starts
working at 8 AM and stops at 12 PM everyday. The store needs
120 toys and requires Mrs. Green to make them in three days.
What must be her average rate of toys made per hour?
toys/hour
I
I
Enter the answer

Answers

Answer:

10 per hour

Step-by-step explanation:

Answer: 75

Step-by-step explanation:

Tell me if it’s wrong or not

help me pls I would really appreciate it

Answers

The first the last and the 2nd last

Answer:

A (-3,-3)

B (-4,1)

C (-1,0)

Step-by-step explanation:

The difference of four times a number and seven is 21. Find the number.

Answers

Answer:

7

Step-by-step explanation:

4x-7=21

4x=28

x=7.....

The number is 7.

We have a sentence - "The difference of four times a number and seven is 21".

We have to find the number.

Express the statement - "The difference of 40 and 20 is equal to n" in the form of expression.

The expression representing the above statement is -

n = 40 - 20 = 20

According to the question, we have -

The difference of four times a number and seven is 21.

Assume the number be x.

Therefore -

4x - 7 = 21

4x = 28

x = 7

Hence, the number is 7.

To solve more questions on Rearranging expressions, visit the link below-

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help math eeekkkkkkk

Answers

Answer:

Step-by-step explanation:

Classify the polynomial according to its degree and number of terms 8x.

quadratic binomial

seventh-degree binomial

seventh-degree monomial

linear monomial

Answers

Answer:

Linear monomial

Step-by-step explanation:

As here the number of terms is only 8x that is only one hence it is a monomial and as its degree here is 1 hence it is linear.

So it is a linear monomial.

Nine years ago, Tarah opened a savings account with her bank. She started with a balance of $450 and has not made any withdrawals or deposits since then.

If her interest rate is 7% each year, how much interest has accrued using simple interest?

Answers

Answer:

Step-by-step explanation:

The interest accrued is $258.48.

Step-by-step explanation:

Given that:

Initial balance in the savings account = $359

Interest rate = 8%

Time for which no withdrawals or deposits were done = 9 years

To find:

Simple Interest accrued = ?

Solution:

First of all, let us have a look at the formula for simple interest.

Where P is the Principal Amount.

R is the annual rate of interest

T is the time in years.

Here, we are given:

P = $359

R = 8%

T = 9 years

Let us put all the values in the formula:

So, the interest accrued is $258.48.

Someone please help‍♀️

What is the equation of the following line? Be sure to scroll down first to see
all answer options.
10
-10
(0,0)
(10,-2)
10
Rest of the options are
D.y=- 1/5x
E. Y=5x
F.y=x

Answers

Answer:

D. y=-1/5(x)

Step-by-step explanation:

To find the equation of a line, use the formula y=mx+b, where x and y represent your x and y coordinates, m is your slope and b is your y-intercept.

b is you y-intercept, this is where the line cuts the y-axis. We can see from the graph that the line cuts the y-axis at (0,0), so c=0.

Now we have y=mx

Sub in one of our points (10,-2):

-2=m10

m=-1/5

So our equation looks like this:

y=-1/5(x)

which equation is equivalent to
y + 2(x + 5) = 4x + 5
a) y = 2x + 20
b) y = -4x + 5
c) y = 2x - 5
d) y = 5x + 2

Answers

Answer:

C

Step-by-step explanation:

y + 2x + 10 = 4x + 5

y = 4x - 2x + 5 - 10

y = 2x - 5

Answer- C

Use the discriminant to determine the number of real solutions to the quadratic equation.
6a2−11a+9=0
What is the number of real solutions?
Select the correct answer below:
0

1

2

Answers

Answer:

0

Step-by-step explanation:

Use discramnt formula

[tex]b {}^{2} - 4ac[/tex]

Where 6 is a, 11 is b and 9 is c

[tex]11 {}^{2} - 4(6)(9) [/tex]

[tex]121 - 216 = - 95[/tex]

Since the discramnt is negative, there are no real solutions and it will only produce imaginary solutions

Jenny read 12 pages on Monday, 25 pages on Tuesday and
the remaining pages on Wednesday. On average she read
23 pages per day during these three days. How many pages
did she read on Wednesday?​

Answers

Answer:

32

Step-by-step explanation:

Let Wed pages = x

(12 + 25 + x) / 3 = 23                 Multiply both sides by 3

12 + 25 + x = 3 * 23                  Combine the right

12 + 25 + x = 69

37 + x = 69                                Subtract 37

x = 69 - 37

x = 32

32 pages were read on Wed

5 divided by 3670 equals

Answers

Answer:

.0013623978

Step-by-step explanation:

0.0013624

3670 can fit 0.0013624 times in 5

(WILL MARK BRAINLIEST) 16 POINTS!
GRAPHING LINEAR EQUATIONS. (picture below)
the map below shows certain locations in town. Use the map and the box of equations at the right to answer the questions below.

Answers

Step-by-step explanation:

Gas Station (2,7) -> y = [tex]\frac{1}{2}[/tex]x + 6 if you plug in the numbers it becomes 7 = 1 + 6

Grocery Store (6,3) -> x + 6y = 24 plug in the numbers it becomes 6 + 18 = 24

Bowling Ally (1, -3) -> 6x + 3y = -3 plug in numbers 6 -9 = -3

Movies (7, -7) -> y = -7 because the y coordinates for the movies = -7

Park(-2, -4) -> -6x + 2y = 4 plug in the numbers 12 - 8 = 4

Coffee Shop (-6, -8) -> -10x + 5y = 20 plug in the number 60 - 40 = 20

Gym (-8, -3)-> y = - [tex]\frac{1}{2}[/tex]x - 7 plug in the numbers -3 = 4-7

School (-6, 6) -> y = - [tex]\frac{1}{3}[/tex]x +4 plug in the numbers 6 = 2 + 4

6x + 3y = -3 quadrant II is (-x, y)

rearrange the equation:

3y = -6x - 3

y = -2x - 1

if x is -1,  y will be 2 -1 = 1. So another solution for this equation is (-1, 1).

Martha's bakery started with 200 cupcakes in the morning. After a busy afternoon there were only 60 cupcakes left. By what percent did the cupcake inventory drop?

Answers

Answer: 70%

Step-by-step explanation:

Martha's bakery started with 200 cupcakes in the morning and after a busy afternoon there were only 60 cupcakes left, this means that 200 - 60 = 140 cupcakes were sold.

The percentage drop will be:

= 140/200 × 100

= 70%

if a trader make a loss of 10% when he sells a watch for 15,300
a what is the cost price
b how much would he gain if he made a profit of 6%

Answers

Answer:

A. original price: 16830

B. Profit gain: 918

10%=1530

6%=918

#gamer

which choices are equivalent to the quotient below check all that apply √12/√6

Answers

Step-by-step explanation:

I don't see any of the choices, but I'll just give you what it's equal to. The expression is equal to: sqrt2, which is approximately 1.414.

If the ratio of AB:BC is 7:4,
what is the length of AB?

If the ratio of AB:AC is 8:7, what is the length of AC?

PLZ HELP

Answers

Answer:

The answer will be :-

2. AB = 31.5 in

3. AC = 5.25 in

Plz help me I’m stuck

Answers

Answer:

$10.50

Step-by-step explanation:

15% of 70 = $10.50

Hope that helps! (Can you give me a brainliest please? It's ok if you don't!)

Answer: $10

Step-by-step explanation:

15%= 0.15

67.37×0.15= 10.1055 ≈ $10 when rounded to the nearest ten.

en una casa construida con madera el tejado se sostiene con una estructura triangular en el que se utilizan ángulos complementarios ¿cómo se construye es estructura?¿qué pares de ángulos son congruentes ? ¿cómo se distribuye la carga que soporta?​

Answers

Answer:

Si me dieras una imagen con esto, podría responderla fácilmente, pero no hay una imagen o modelo para ayudar a disculparme.

Step-by-step explanation:

lo siento, tal vez vuelva a publicarlo con un modelo o una imagen para que pueda ayudar

One side of a square has a measurement of 2x + 4. Write an expression to represent the perimeter of the shape.

Answers

Answer:

4(2x+4)

for example, if 5 were the length of a side you'd do 4(5). 4 because theres 4 sides and the formula for P is P= l+l+w+w OR P=2l+2w

No answer text provided.
No answer text provided.
HA < CH
HM > CH
AM = CK
MH < HC

Answers

Answer:

HM > CH

Step-by-step explanation:

You are correct, I didn't see the option HM > CH, which is correct, since the angle 90 degrees is larger than the angle 73, and then the sides opposite to them must follow suit.

Therefore, the correct answer is: HM > CH

The true statement from the triangles is (b) HM > CH

How to determine which must be true

From the question, we have the following parameters that can be used in our computation:

The figures

Next, we have

Angles at corresponding points = 90 degrees and 73 degrees

Since the angle 90 degrees is larger than the angle 73 degrees, and then the sides opposite to them must also have the same relationship

Using the above as a guide, we have the following:

The true statement is (b) HM > CH

Read more about triangles at

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Math sucks helppppp pls

Answers

Answer:

B

Step-by-step explanation:

Perimeter of the composite shape = ½ of the circumference of a circle + perimeter of a rectangle - Length of the rectangle

= ½*2πr + 2(L + W) - L

Where,

r = 8

π = 3.14

L = 16

W = 12

Perimeter of the composite shape = ½(2*3.14*8) + 2(16 + 12) - 16

= 25.12 + 56 - 16

Perimeter of the composite figure = 65.12 inches

Area of the composite figure = ½(πr²) + L*W

= ½(3.14*8²) + 16*12

= 100.48 + 192

Area = 292.48 square inches

2 z − 22 facorise fully

Answers

Answer:

Factorising fully

then

2z - 22

= 2( z - 11)

se quiere pintar una pared en forma de hexágono regular y se sabe que cada lado mide 3m y que su apotema es de 2,8m cual es el area que se va a pintar?​

Answers

Answer:

El área total a pintar será:

[tex]A_{tot}=25.2\: m^{2}[/tex]

Step-by-step explanation:

Sabiendo el apotema y la longitu de los lados, podemos encontrar el área de un triangulo. Recordemos que, si trazamos rectas del centro del hexágono a los vértices, se formaran 6 triángulos equiláteros.

El área de un triángulo es:

[tex]A_{t1}=\frac{b*a}{2}[/tex]

b es la longitud de la base (b=3 m)

a es la apotema, osea la altura del triangulo (a = 2.8)

[tex]A_{t1}=\frac{2.8*3}{2}[/tex]

[tex]A_{t1}=4.2\: m^{2}[/tex]

Ahora, solo debemos mutiplicar ese valor por 6 para determianr el área total de la pared.

[tex]A_{tot}=25.2\: m^{2}[/tex]

Espero te haya sido util!

The line with a slope of 1/3 and a y- intercept of -15 intersects the line passing through which of these pairs of points? Select THREE that apply

Answers

BCEare the correct answers!Let me know if I'm wrong!

Kevin is designing a cover for a comic book. He wants to have a rectangular grid with x ^ 2 - 3x - 10 squares in it, for some positive whole number x. What are the possible side lengths for the grid?

A. There are no possible whole number side lengths.
B. (x + 2) and (x - 5)
C. (x - 2) and (x + 5)
D. (x + 2) and (x + 5)

Answers

Answer:

(X+2) and (x-5)

Step-by-step explanation:

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I get $25 a month, with victuals and clothing; have a comfortable home for Mandy (the folks call her Mrs. Anderson), and the children, Milly, Jane, and Grundy, go to school and are learning well . . .As to my freedom, which you say I can have, there is nothing to be gained on that score, as I got my free papers in 1864 from the Provost-Marshal-General of the Department of Nashville. Mandy says she would be afraid to go back without some proof that you were disposed to treat us justly and kindly; and we have concluded to test your sincerity by asking you to send us our wages for the time we served you. This will make us forget and forgive old scores and rely on your justice and friendship in the future. I served you faithfully for thirty-two years, and Mandy twenty years. At $25 a month for me, and $2 a week for Mandy, our earnings would amount to $11,680. 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