Round .0196 to thousandths

1 answer:

3 0

The 9 is in the thousandths place. The number after is it 6 (which it greater than 5) so 9 becomes a 10.

0.0196 rounded to the nearest thousandths is <u>0.02</u>

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Step-by-step explanation:

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

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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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