The lateral area of a cylinder is 100pi in^2. If its dimensions are reduced to one-fifth their original length, what would its new area be?

Answers

Answer 1

Answer:

4pi in^2

Step-by-step explanation:

Lateral surface area of a cylinder = 2πrh

π = pi

r = radius

h = height

Let me illustrate with an example

A cylinder has the following dimensions

r = radius = 20  

h = height  = 10

lateral area = 2 x π x 20 x 10 = 400π

If dimensions are reduced to one-fifth their original length, new dimensions are

r = radius = 20  x 1/5 = 4

h = height  = 10 x 1/5 = 2

New lateral area = 2 x 4 x 2 x π = 16π

change in lateral area = 400π / 16π = 25

If dimensions are reduced by 1/5, lateral area would reduce by 25

100 pi / 25 = 4


Related Questions

Write the first five terms of the geometric sequence, given a1= -16 and r= -1/4​

Answers

Answer: -16, 4, -1, 1/4,?

Step-by-step explanation: the nth term of a GP is given by Un= ar^n-1

Where n= the term.

So substituting the values for each term will give you the answer above. I don't know if it's tiredness or what but my fifth term gives me the same value as my fourth term.

Cards in a pack are black or red in the ratio
black: red = 2:5
What fraction of the cards are red?

Answers

1/3 fraction of the cards is red


ILL GIVE BRAINLY THING!!!!Solve the equation by completing the square.
12 – 180 + 58 = 0
O A. I = 9 + V23
OB. I = 9 + V139
OC. I = -9 + V23
OD. = -9 + V139

Answers

Answer:

Step-by-step explanation:

x^2-18x+58=0

[tex]x^{2}[/tex] - 18x  + [tex](-9)^{2}[/tex]  +58 = [tex](-9)^{2}[/tex]

[tex](x-9)^{2}[/tex] +58 = 81

[tex](x-9)^{2}[/tex]  = 23

x - 9 = [tex]\sqrt{23}[/tex]

x = [tex]\sqrt{23}[/tex] + 9

:)  there you go   answer A) might be good

Name all the expressions that are equivalent to 3x+6y+7x-14
Select all
A.) -10x-14
B.)2(2x + 3y - 7)
C.)4x - 6y + 14
D.)4x+6y - 14
E.)10x + 6y - 14

Answers

Answer:

The answer to the question is E

Step-by-step explanation:

E is the only answer out of the choices to be equivalent to 3x+6y+7x-14

Evaluate the expression when a=6 and b = 50.
b-4a

Answers

Answer:

26

Step-by-step explanation:

sub it it

50-(4×6)

50-24

the answer is 4 dhuenwk

In what quadrant is(-3,-7) located?

Answers

Answer:

start by going to the left three spaces over on the "X" axis (-3)

then go down seven spaces until both the "X" axis is over -3 and the -7 is on "Y" axis

(hope I helped)

I've eliminated A & B already, I Just need help with the volume. NO LINKS!!

Answers

Answer:

Step-by-step explanation:

Area of equilateral triangle = ([tex]\sqrt{3}[/tex]/4) * [tex]2^{2}[/tex]

1.732050 * 7 = 12.123[tex]mm^{3}[/tex]

Find the area of each sector.
3)
1350
14 yd
251
A)
18051
12
yd?
B)
yd?
12
1471
C) 161 yd?
D)
yd?
2

Answers

I did this I think 12 years

Please please please help me with this

Answers

it’s a black screen

Answer:

Apparently the picture is pitch black so I don't understand what you need help with. Sorry.

Step-by-step explanation:

Giving brainlist to whoever answers

Answers

Answer:

retangular prism

Step-by-step explanation:

rectangular prism :)


Identify the volume of a regular hexagonal pyramid with base edge length 8 in. and height 10 in.,
rounded to the nearest tenth.

Answers

Answer:

554.3 m^2

Step-by-step explanation:

https://brainly.com/question/17542967?referrer=searchResults

The volume of a regular hexagonal pyramid will be 554.3 cubic inches.

What is the volume of the pyramid?

Let h be the height of the pyramid, l be the slant height, and A be the base area of the pyramid. Then the volume of the pyramid will be given as,

Volume = (1/3) × A × h

The base area is calculated as,

A = 6 x (1/2) x 8 x 8 x sin 60°

A = 3 x 8 x 8 x 0.866

A = 166.28 square inches

The volume of a regular hexagonal pyramid is calculated as,

V = 1/3 x 166.28 x 10

V = 554.3 cubic inches

More about the volume of the pyramid link is given below.

https://brainly.com/question/17615619

#SPJ2

What is the volume of this rectangular prism?


Answers

Answer:

20 cm³

Step-by-step explanation:

A rural homeowner had his television antenna held in place by three guy wires, as shown in the following figure. If the distance to each of the stakes from the base of the antenna are the same, what is true about the lengths of the wires? Explain using congruence theorems.

Answers

Answer:

E

Step-by-step explanation:

Round your answer to the nearest hundredth.
A
4.
?
B
С
3

Answers

Answer:

a. 4.00

b. 3.00

I hope this helps

State if the triangles in each pair are similar.

Answers

If two triangles have two pairs of sides in the same ratio and the included angles are also equal, then the triangles are similar.

Someone please help with this question I need an answer no longer than 5 minutes

NO LINKS

Answers

Answer:

radius: 8.4   Area: 221.5

Step-by-step explanation:

16.8 divided by 2 = 8.4

The Formula for finding the area of circle= R₂ (radius squared: radius times itself) Multiplied by pi. pi = 3.14

8.4₂ multiplied by 3.14

What is the correct answer?

Answers

pink , pink is always right

Answer:

pink

Step-by-step explanation:

,pink is the only logical option

28 out of the 50 students in the 4th grade love chocolate ice cream. What percentage of the 4th graders DO NOT love chocolate ice cream?

Answers

Answer:20%

Step-by-step explanation: multiply 40 x 50=2,000

2,000 divided by 100= 20%

At the end of her work day at the Ferguson Corporation, Sarah usually

walks to the subway station to travel home. Today, she is walking to the

Springdale Town Center first to take care of some errands. She will then

continue walking to the subway station to travel home. The map of these

routes is shown below.

2000 feet

Subway

Ferguson

Corporation

Station

Springdale

Town Center

If Sarah walks to the Springdale Town Center from the Ferguson

Corporation and then to the Subway Station, how much farther will she

walk than if she walks directly to the Subway Station from the Ferguson

Corporation? Show all of your work.

Answers

Answer:

1263.7032 feets

Step-by-step explanation:

Distance from Ferguson corporation to Springdale Town center ; let the distance = x

Using trigonometry :

Tanθ = opposite / Adjacent

Tan 27 = x / 2000

0.5095254 * 2000 = x

1019.0508 feets

Distance from Springdale to Subway station, this is the hypotenuse :

Hypotenuse = √(1019.0508² + 2000²)

Hypotenuse = √5038464.7

Hypotenuse = 2244.6524 feets

Total distance walked from Ferguson to Springdale, then to Subway ;

(1019.0508 + 2244.6524) feets = 3263.7032 feets

Additional distance walked :

(3263.7032 feets - 2000 feets) = 1263.7032

In this exercise we have to calculate the distance knowing about the laws of a triangle, so we have to:

[tex]H=1263.7032 feets[/tex]

We can use the definition of tangent to calculate:

[tex]Tan\theta = opposite / Adjacent\\Tan 27 = X / 2000\\0.5095254 * 2000 = X\\=1019.0508 feets[/tex]

Now using the Pythagorean theorem we have:

[tex]H = \sqrt{(1019.0508^2 + 2000^2)}\\H = \sqrt{5038464.7}\\H = 2244.6524 feets\\(1019.0508 + 2244.6524) = 3263.7032 feets\\(3263.7032 feets - 2000 feets) = 1263.7032[/tex]

See more about triangles at brainly.com/question/2269348

Where do people and animals get the oxygen they breathe?

From plants

From other animals

From water

From the sun

Answers

Answer:

From plants

hope it helps you have a good day keep smiling be happy stay safe ☺️

Answer:

From Plants

Hope it will help you

use the spinner to find the fractional probability of each event, i need it in decimal and fraction form.

Answers

Answer:

go on MATH.WAY

Step-by-step explanation:

it was the answers and explanation

Look at this inequality.
5y > 14
Which value for y makes the inequality true?
A. 1.5
B. 2
C. 2.8
D. 3

Answers

Answer:2.8

Step-by-step explanation:

2.8

PLEASE HELP WILL
MARK BRAINLIST
The two triangles are similar. b = 19, y = 9, and a = 26, what is the value of x? Round your answer to the nearest tenth (1
decimal place).

Answers

s=22.17
Step-by-step explanation:
v/r=u/s
18/19=21/s
18s=21(19)
18s=399
18s/18=399/18
s=22.17

WHAT IS 1/2 + 1/9 PLEASE ANSWER! AND EXPLAIN I NEED MY GRADE UP!!!

Answers

Answer:

11/18

Step-by-step explanation:

1 2 + 1 9 = ? The Least Common Multiple (LCM) of 2 and 9 is 18. Multiply the numerator and denominator of each fraction by whatever value will result in the denominator of each fraction being equal to the LCM: 1 2 + 1 9 = 1 × 9 2 × 9 + 1 × 2 9 × 2 = 9 18 + 2 18 Now that the fractions have like denominators, add the numerators: 9 18 + 2 18 = 9 + 2 18 = 11 18 The result is: 1 2 + 1 9 = 11 18

so 11/18 is you answer

Answer:

11/18

Step-by-step explanation:

Get the common denominator by multiplying 2 and 9.

Multiply both sides of 1/2 by 9 to get 9/18, and both sides of 1/9 by 2 to get 2/18.

[tex]\frac{1}{2} +\frac{1}{9} = \frac{9}{18} + \frac{2}{18} = \frac{11}{18}[/tex]

After adding both fractions you'll get 11/18. That's your answer.

Solve 3x2 + x - 10 = 0. Round solutions to the nearest hundredth. (5 points) a x ≈ −5 and x ≈ 2 b No real solutions c x ≈ −2 and x ≈ 1.67 d x ≈ −1.67 and x ≈ 2

Answers

Answer:

c) x ≈ −2 and x ≈ 1.67

Step-by-step explanation:

Solve 3x²+ x - 10 = 0.

We solve using Almighty formula

-b ± √b² - 4ac/2a for equation: ax² + bx + c

where a = 3, b = 1, c = -10

Hence

-1 ± √1² - 4 × 3 × -10/2 × 3

-1 ± √1 - (-120)/6

-1 ± √1 + 121/6

-1 ± √121/6

-1 ± 11/6

Hence:

-1 - 11/6

-12/6 = -2

-1 + 11/6

= 10/6

= 1.67

Therefore, x = -2, x = 1.67

Option c) x ≈ −2 and x ≈ 1.67 is the correct answer

A camera has a listed price of $511.99 before tax. If the sales tax rate is 7.75%, find the total cost of the camera with sales tax included.
Round your answer to the nearest cent, as necessary,

Answers

Answer:

$551.70

Step-by-step explanation:

Price before tax= $511.99

Cost of the tax= 7.75/100×511.99

= $39.679

Total cost of the camera= $511.99+$39.679

= $551.669

≈ $551.70

Maryanne went to lunch with a friend. The bill was $35.60 before tax. Sales tax rate is 7.25%, and she
decided to leave a 15% tip. What was the final total of her lunch bill?

Answers

Answer:

$43.91

Step-by-step explanation:

Calculating Total Cost. Multiply the cost of an item or service by the sales tax in order to find out the total cost. The equation looks like this: Item or service cost x sales tax (in decimal form) = total sales tax. Add the total sales tax to the Item or service cost to get your total cost.

$35.60 + $2.58 (tax) = $38.18

$38.18+ $5.73 (tip at 15%) = $43.91 total

hope this helps you!

A hockey player takes 150 shots each week. Sixty percent of these shots go in. How many shots do NOT go in?

Answers

60 percent of 150 is 90. So that means 60 shots do not go in.

Which is the best estimate for √34 to the nearest whole number​

Answers

Answer:Other than using a calculator to get an approximate value (

5.83

) for  

34

,  

34

can not be simplified

Step-by-step explanation:The only factors (

>

1

) of  

34

are  

2

and  

17

Since neither of these are a square,  

34

has no simplification.

A student broke this trapezoid into two triangles. She says she has enough information to find the area of it. Is she correct? Explain your answer. A trapezoid is broken into 2 triangles. One triangle has a base of 4 inches and a height of 6 inches. The other triangle has a base of 6 inches and a height of 5 inches.

Answers

Answer:7

Step-by-step explanation:

1erg2erg

Answer:

Yes. The base and height can be determined for both triangles. Use the formula A = 12

bh to find the area of each, then add them to get the area of the trapezoid. 10 + 15 = 25 in.2. this is a sample response i got from E D G E N U I T Y

Step-by-step explanation:

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