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Umnica [9.8K]
3 years ago
6

In a circle with a 8 in radius, how long, in inches, is an arc associated with 2.6 radians.

Mathematics
1 answer:
Bingel [31]3 years ago
7 0
S = r·α is the formula to find the arc length (s), given the radius (r), and angle measure (α) in radians.
If the angle measure is NOT given in radians you must convert to radians.

s = 8 · 2.6
s = 20.8 in
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vladimir2022 [97]

Answer:

  A. 9.6

  B. √92

Step-by-step explanation:

<h3>A.</h3>

Rational: 9.6. It is rational because it is a terminating decimal number.

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<h3>B.</h3>

Irrational: √92 ≈ 9.59166.... It is irrational because it is the square root of an integer that is not a perfect square. All such square roots are irrational.

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<em>Additional comment</em>

In general, the n-th root of an integer that is not a perfect n-th power will be irrational. For example, ∛885 ≈ 9.600954766... is irrational, because 885 is not a perfect cube. (9³=729, 10³=1000)

Trig functions of (non-zero) rational angles in radians will be irrational. For example, tan(1.467) ≈ 9.5996286... is irrational.

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3 years ago
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There are 3 x intercepts
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