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docker41 [41]
3 years ago
10

The value of the square root of 82 is between which two integers?

Mathematics
1 answer:
zaharov [31]3 years ago
8 0
The answer: 9 and 10 or 8 and 9
8x8=64
9x9=81
10x10=100
They are close by 18 so If it’s only an answer I would go for 8 and 9
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3 years ago
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Paladinen [302]

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Step-by-step explanation:

From the relationship of angles and secants/tangents, we have ...

  m∠GSO = (long arc GO -arc GT)/2

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_____

<em>Alternate solution</em>

Inscribed ∠GOT has half the measure of arc GT, so is 45°.

You know that if angle G were 90°, then the right triangle would be isosceles, and angle S would also be 45°. In this triangle, arc GTO is less than 180°, so angle G is less than 90°.

When angle G gets smaller, the sum of angles remains the same, so angle S must be larger than 45°.

This reasoning is written more formally in the math above.

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3 years ago
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