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Afina-wow [57]
3 years ago
10

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

ew area be?
Mathematics
1 answer:
Tamiku [17]3 years ago
4 0

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

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VashaNatasha [74]

Answer:

30 m^2.

Step-by-step explanation:

This  is a right-angled triangle because it obeys the Pythagoras theorem

( 13^2 = 12^2 + 5^2).

So its area = 1/2 * base * height

= 1/2 * 5 * 12

= 30 m^2

7 0
3 years ago
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hichkok12 [17]
That will be;
5/6 x 3/10
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If 32(2)c = 8c+7, what is the value of c?<br><br> o 1<br> o 2<br> o 3<br> o 5
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2 years ago
Solve for u.<br> 36 – 9u = 27
strojnjashka [21]

Answer:

u = 1

Step-by-step explanation:

First, we can use inverse operations to help.

27 + 9u = 36

Next, we can start replacing u with numbers to find which number fits in u.

27 + 9(1) = 36

27 + 9(2) ≠ 36

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8 0
3 years ago
Can anyone help me solve these linear systems using substitution?
vivado [14]

The system of the linear systems of equation using substitution is;

  • x = 2, y = 2
  • x = -20, y = -1

<h3>Linear equation</h3>

3x-y=4

x+2y=6

from (2)

x = 6 - 2y

substitute into (1)

3x-y=4

3(6 - 2y) - y = 4

18 - 6y - y = 4

- 6y - y = 4 - 18

-7y = -14

y = 2

Substitute into

x+2y=6

x + 2(2) = 6

x + 4 = 6

x = 6 - 4

x = 2

2. 2x-y= -39

x+y= -21

From (2)

x = -21 - y

substitute into

2x-y= -39

2(-21 - y) - y = -39

-42 - 2y - y = -39

- 2y - y = -39 + 42

- 3y = 3

y = 3/-3

y = -1

substitute into

x+y= -21

x + (-1) = -21

x - 1 = -21

x = -21 + 1

x = -20

3. 2x+y =11

6x-5y =9

Learn more about linear equation:

brainly.com/question/4074386

#SPJ1

6 0
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