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Sonbull [250]
3 years ago
8

PLEASE HELP

Mathematics
1 answer:
Andrei [34K]3 years ago
3 0

Given that the radius of the circle is 6 cm.

The central angle is 120°

We need to determine the length of AB.

<u>Length of AB:</u>

The length of AB can be determined using the formula,

{arc \ length}=2 \pi r\left(\frac{\theta}{360}\right)

Substituting \theta=120 and r=6 in the above formula, we get;

arc\ length}=2 \pi (6)\left(\frac{120}{360}\right)

Simplifying the values, we get;

arc\ length}=2 \pi (6)\left(\frac{1}{3}\right)

arc\ length}=12 \pi \left(\frac{1}{3}\right)

arc\ length}=4 \pi

Substituting π = 3.14, we have;

arc\ length}=4(3.14)

arc\ length}=12.56

Thus, the arc length of AB is 12.56 cm

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x = \frac{-3 \± \sqrt{65}}{2}
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x = -1.5 + 4.03    or    x = -1.5 - 4.03
x = 2.53    or    x = -5.53

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 - 2.53         - 2.53
              y = -5.53
        (x, y) = (2.53, -5.53)
         
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+ 5.53         + 5.53
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The two numbers that multiply to -14 and add up to -3 are -5.53 and 2.53.
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