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faust18 [17]
2 years ago
6

Marco is coaching football 24 out of 30 days in June which decimal is equivalent to the fraction of days until he coach football


Mathematics
1 answer:
Sergio [31]2 years ago
4 0

Answer:

Since the fraction of this is very obviously 24/30, here's how you can get a decimal out of that:

First, you simplify that fraction.

24/30 = 4/5, since 5x6 is 30 and 6x4 is 24

Now, it's pretty easy to convert 4/5 into a decimal.

This is how I like to do it. You re-convert the fraction one step higher, so it's 8/10, and you just turn it into 0.8, since it's all out of 10.

I hope I helped, and I'd appreciate a "Brainliest"! ☺

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Approximate pi plus the square root of 70 to the nearest hundredth.
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Answer:

  11.51

Step-by-step explanation:

In general, a calculator is required to evaluate the irrational sum ...

  π + √70

<h3>Calculator result</h3>

The result from a readily-available online calculator is shown in the attachment.

  π + √70 ≈ 11.51

__

<em>Additional comment</em>

You have probably memorized pi to several digits: 3.1416. To obtain the required estimate means you need to approximate √70 to about the same level of precision.

For a number n = a² +b, the square root can be approximated by the continued fraction ...

  √n ≈ a +b/(2a +b/(2a +...))

Effectively, the root (r) can be iterated from the recursive formula ...

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If the initial approximation of the root is r0≈a=8, then a couple of iterations gives ...

  r1 = 8 + 6/(8 +r0) = 8 + 6/(8 +8) = 8 3/8

  r2 = 8 + 6/(8 +r1) = 8 +6/(8 +8 3/8) = 8 48/131

This has sufficient accuracy for the purpose. The decimal equivalent of the sum then becomes ...

  3.1416 +8.3664 = 11.5080 ≈ 11.51

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