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Travka [436]
3 years ago
11

A rectangle has a perimeter of 30. It is dilated by a scale factor of 2.

Mathematics
1 answer:
LuckyWell [14K]3 years ago
5 0

Answer:

It is 60.

Step-by-step explanation:

When shapes are dilated (when they get bigger or smaller), perimeter changes linearly—in direct proportion with length. This means if the scale factor is 2, then you multiply it by 2. 2 multiplied by 30 equals 60.

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slamgirl [31]

Answer:Solve. 2a + 3b = 5 6= a -5 a = 4 b = -1 1 a = 6 b=1 a=6 6 = -1 a=4 6 = 1

Step-by-step explanation:

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3 years ago
How much longer is 18.25 centimeters than 75.4 milimeters
Amanda [17]

Answer:

10.71

Step-by-step explanation:

You first convert 75.4 millimeters to centimeters, and you will get 7.54. Now you subtract 18.25 and 7.54 to get the answer 10.71

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In a statewide lottery, one can buy a ticket for $1. With probability .0000001, one wins a million dollars ($1,000,000), and wit
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Using the expected value, it is found that the mean of the distribution equals $0.1.

  • The expected value, which is the mean of the distribution, is given by <u>each outcome multiplied by it's probability</u>.

The probabilities of <u>each outcome</u> are:

  • .0000001 probability of earning $1,000,000.
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Thus, the mean is given by:

E(Y) = 0.0000001(1000000) + 0.9999999(0) = 0.1

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A similar problem is given at brainly.com/question/24855677

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You have 100 feet of fencing and decide to make a rectangular garden. What is the largest area enclosed
k0ka [10]

Answer:

625 ft^2

Step-by-step explanation:

Given

P = 100 --- perimeter

Required

The largest area

The perimeter is calculated as:

P = 2 * ( L + W)

So, we have:

2 * ( L + W) = 100

Divide both sides by 2

L + W  = 50

Make  L the subject

L = 50 - W

The area is calculated as:

A= L * W

Substitute L = 50 - W

A= (50 - W) * W

Open bracket

A = 50W - W^2

Differentiate with respect to W

A' = 50 -2W

Set to 0; to get the maximum value of W

50 - 2W = 0

Collect like terms

-2W = -50

Divide by -2

W = 25

So, the maximum area is:

A = 50W - W^2

A = 50 * 25 - 25^2

A = 1250 - 625

A = 625

3 0
2 years ago
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