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Musya8 [376]
2 years ago
10

The length of two sides of a triangle are 10, 15 find the range of possible lengths for the third side

Mathematics
1 answer:
Zepler [3.9K]2 years ago
5 0

Answer:

Range for third side is  

( 5 , 25 )  cm.

Step-by-step explanation:

As two sides of triangle are  10  and  15 ,

the third side would have to be less than the sum of other two sides i.e. less than  25  cm.

On the other hand if it is smaller one than this side plus side of length  10

should be greater than  15  and therefore

this side is greater than  15 − 10 = 5  cm.

Hence range is  

( 5 , 25 )

Hope this answer helps you :)

Have a great day

Mark brainliest

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2 years ago
Approximate pi plus the square root of 70 to the nearest hundredth.
stich3 [128]

Answer:

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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 ...

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

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For √70, we have 70 = 8² +6   ⇒   a=8, b=6

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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Step-by-step explanation:

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Step-by-step explanation:

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