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Minchanka [31]
3 years ago
8

If the length of a rectangle is decreased by 4 cm and the width is increased by 5 cm, the result will be a square, the area of w

hich will be 40 cm2 greater than the area of the rectangle. Find the area of the rectangle.
Mathematics
1 answer:
erastova [34]3 years ago
5 0
Let x represent the side length of the square. Then
  (x +4)*(x -5) +40 = x^2
  x^2 -x -20 +40 = x^2
  20 = x

The rectangle is 15 cm by 24 cm, and its area is 360 cm^2.
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You put $400 in a account. The account earns $18 simple interest in 9 months. What is the annual interest rate?
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Use the formula,
I = Prt
P = Principal amount = 400
I  = interest = 18
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t = time in years = 9/12 = 3/4

so,
18 = 400*r*3/4

r =  0.06
so the annual interest rate is 0.06 or 6%.
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3 years ago
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The diameter of circle X is 15 centimeters. The diameter of circle Y is 20 centimeters. Which measurement is closest to the diff
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The difference between the circumference of circle X and circumference of circle Y is 5π cm.

<h3>What is circumference of a circle?</h3>

This is the distance round a circle.

The circumference of circle X is calculated as follows;

C_X = \pi d\\\\&#10;C_X = 15\pi \ cm

The circumference of circle Y is calculated as follows;

C_Y = \pi d\\\\&#10;C_Y = 20 \pi \ cm

The difference between the circumference of circle X and circumference of circle Y is calculated as follows;

C_Y - C_X = 20\pi - 15 \pi = 5\pi \ cm \\\\&#10;

Thus, the difference between the circumference of circle X and circumference of circle Y is 5π cm.

Learn more about circumference of  a circle here: brainly.com/question/9782777

8 0
2 years ago
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√64 evaluate<br><br>this is for my finals so it's HIGH in points...​
notka56 [123]

Answer:

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Step-by-step explanation:

Note that √ signifies "square root."

If you're unsure of what √64 is, then make a short table of perfect squares until 64 comes up:

1   1

2   4

3   9

4   16

5  25

6  36

7   49

8   64

Thus, the square of 8 is 64 and so √64 = 8

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3 years ago
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frosja888 [35]

Using it's concept, the standard deviation of the data is of 3.742.

<h3>What are the mean and the standard deviation of a data-set?</h3>

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For this data-set, the mean is:

M = (1 + 4 + 4 + 4 + 4 + 6 + 5)/7 = 4.

Hence the standard deviation is:

S = \sqrt{\frac{(1 - 4)^2 + (4 - 4)^2 + (4 - 4)^2 + (4 - 4)^2 + (4 - 4)^2 + (6 - 4)^2 + (5 - 4)^2}{7}} = 3.742

More can be learned about the standard deviation of a data-set at brainly.com/question/12180602

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2 years ago
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dsp73

Answer:

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Step-by-step explanation:

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