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Irina18 [472]
3 years ago
13

The exact value of x

Mathematics
1 answer:
Gennadij [26K]3 years ago
8 0

Answer:

x= \sqrt{113}

Step-by-step explanation:

For this problem, you need to know the Pythagorean Theorem, which is A²+B²=C².

  1. First, write down what you know. You need to find the longest side, which is x. The other sides are 8 and 7.
  2. To solve, you need to plug in A with 8 and 7 with B.
  3. Now solve:
  • 8²+7²=C²
  • 64+49=C²
  • 113=C²
  • \sqrt{113}=C

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Answer:

8 positive integers.

Step-by-step explanation:

One value of n would be 15 because 225 = 15^2.

Other values  are 225 * n where 15n  <= 1000 and n is a perfect square.

So n = 4 gives us 225* 4 = 900 which is a perfect square and 15*4 = 60.

n = 9  gives us 225 * 9 which is a perfect square and 15*9 = 135.

n = 16 gives us 225*16  and 15*16 = 240 , so OK.

n = 25   gives a perfect square and  and 15*25 = 375 - so OK.

n = 36 gives a perfect square and 15*36 = 540 - so OK.

n = 49 gives a perfect square and  15*49 = 735 - so OK.

n = 64 gives a perfect square and 15*64 = 960 - so ok.

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3 years ago
To mix a particular shade of purple paint, read paint and blue paint are mixed in the ratio 5:3. To make 80 gallons of this shad
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Answer:

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Step-by-step explanation:

5 parts of the whole must be red, 3 parts of the whole must be blue, and there are 5+3=8 parts in total.

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Step-by-step explanation:

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