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Nitella [24]
3 years ago
9

The repeating decimal,0.27 repeting, is converted to the fraction 3/x. What is the value of x in the fraction?

Mathematics
1 answer:
Nuetrik [128]3 years ago
7 0

Answer:5/18=.2777777777777

Step-by-step explanation:

.27777 (7 repeating)

100x=27.7777

10x=   2.7777

Subtract

90x=25

x=25/90=5/18

Check

5/18=.2777777777777

Hope that helps.

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The area of rectangle ABCD is 72 square inches. A diagonal of rectangle ABCD is 12 inches and the diagonal of rectangle EFGH is
luda_lava [24]

Answer:

The area of rectangle EFGH is 242\ in^{2}

Step-by-step explanation:

For this problem I assume that rectangle ABCD and rectangle EFGH are similar

step 1

Find the scale factor

we know that

If two figures are similar, then the ratio of its corresponding sides is proportional, and this ratio is called the scale factor

Let

z ------> the scale factor

The scale factor is the ratio between the diagonals of rectangles

so

z=\frac{22}{12}=\frac{11}{6}

step 2

Find the area of rectangle EFGH

we know that

If two figures are similar, then the ratio of its areas is the scale factor squared

Let

z------> the scale factor

x -----> area of rectangle EFGH

y ----> area of rectangle ABCD

so

z^{2}=\frac{x}{y}

we have

z=\frac{11}{6}

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substitute and solve for x

(\frac{11}{6})^{2}=\frac{x}{72}

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x=\frac{121}{36}(72)

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Write .<br> Help a brother out! <br> My question is how do I do it on a calculator
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Answer:

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Using an absolute value inequality, it is found that the maximum height is of 90 pounds, that is:

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------------

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|x| \leq a means that:

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Thus, the minimum height is 70 pounds and the maximum height is 90 pounds.

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A similar problem is given at brainly.com/question/24514895

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