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Anvisha [2.4K]
3 years ago
5

Find the arc length of ABC .

Mathematics
1 answer:
Salsk061 [2.6K]3 years ago
4 0

Answer:

C.

Step-by-step explanation:

Since the radius of the circle is 12 units, we can calculate the circumference.

2 * pi * r = 2 * pi * 12 = 24 * pi = 24pi.

The arc angle is 240 degrees, and the whole circle would be 360 degrees. So, we can set up an equation.

\frac{24\pi }{360} =\frac{x}{240}

\frac{24\pi }{6} =\frac{x}{4}

\frac{4\pi }{1} =\frac{x}{4}

1 * x = 4 * 4 * pi

x = 16pi

So, your answer is C.

Hope this helps!

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If a varies directly with b and a = -2 when b =3 what is the constant of variation
lina2011 [118]
A varies directly with b → a = kb where k is the constant of variation (i.e. slope)

-2 = k × 3 ← substitute values into the formula above

-2/3 = k ← result of dividing both sides by 3

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3 0
4 years ago
Two pedestrians simultaneously left two villages 27 km apart and walked toward each other. the first one walked 4 km per hour, a
Salsk061 [2.6K]

<u>Step 1: Assign variable for the unknown that you need to find. </u>

Let ' t ' be the number of hours it took for the pedestrians to meet.

<u>Step 2: List the give details</u>

Speed of first pedestrian = 4 km/hr.

Speed of second pedestrian = 6 km/hr.

Distance between two pedestrians = 27 km.

<u>Step 3: Set up an equation</u>

The relationship between speed, distance and time is given below:

Distance= \; Rate \times Time

The first one walked 4 km per hour, distance traveled by first pedestrian is given below:

Distance_{1^{st} \; pedestrian} \; = \; 4t\\\\Distance_{2^{nd} \; pedestrian} \; = \; 6t

Two pedestrians simultaneously left two villages 27 km apart and walked toward each other.

Distance_{1^{st} \; pedestrian} +Distance_{2^{nd} \; pedestrian} =27\\\\4t+6t=27\\Combine \; Like \; Terms\\\\10t=27\\Dividing \; 10 \; on \; both \; sides\\\\ \frac{10t}{10}  = \frac{27}{10}  \\Simplifying \; fraction \; on \; both \; sides\\\\t=2.7 \; hours

Conclusion:

The pedestrian meet after 2.7 hours.

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Step-by-step explanation:

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Hello There!

The third missing length would be 68°

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We take the two sides we do know, add them together and then subtract the two sides added together from 180°

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Answer:

y = -16

Step-by-step explanation:

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