Find the arc length of ABC .

Mathematics

1 answer:

Salsk061 [2.6K]3 years ago

4 0

Answer:

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)

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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]

Step 1: Assign variable for the unknown that you need to find.

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

Step 2: List the give details

Speed of first pedestrian = 4 km/hr.

Speed of second pedestrian = 6 km/hr.

Distance between two pedestrians = 27 km.

Step 3: Set up an equation

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.

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