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Greeley [361]
3 years ago
11

What is the order of 5 , -0.1, -5/3 , 0.7, 2 from least to greatest?

Mathematics
1 answer:
Anna11 [10]3 years ago
6 0
If you would like to order the following numbers from least to greatest, you can do this using the following steps:

<span>5, -0.1, -5/3, 0.7, 2
</span>-5/3 = -1.67
<span>
-5/3 < -0.1 < 0.7 < 2 < 5</span>

The correct result would be <span>-5/3 < -0.1 < 0.7 < 2 < 5</span>.
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What is the arc length of the arc sub tended in a circle with radius 6 and an angle of 7 pi/ 8
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Answer:

Formula for the Arc length is given by:

\text{Arc length} = 2 \pi r \cdot \frac{\theta}{360^{\circ}}

As per the statement:

radius of circle(r) = 6 units

Angle (\theta) = \frac{7 \pi}{8} radian

Use conversion:

1 rad = \frac{180}{\pi}

\frac{7 \pi}{8} = \frac{180}{\pi} \cdot \frac{7 \pi}{8} = \frac{1260}{8} = 157.5^{\circ}

then;

substitute these given values we have;

Use value of \pi = 3.14

\text{Arc length} = 2\cdot 3.14 \cdot (6) \cdot \frac{157.5^{\circ}}{360^{\circ}}

or

\text{Arc length} = 2\cdot 3.14 \cdot (6) \cdot 0.4375

Simplify:

\text{Arc length}=16.485

Therefore, the arc length of the arc substended in a circle with radius 6 units an angle of 7 pi/8 is 16.485 units

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Step-by-step explanation:

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