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Kazeer [188]
3 years ago
8

A circle has a radius of 12 inches. Find the length of the arc intercepted by a central angle of 120 degrees to the nearest tent

h of an inch.
Mathematics
1 answer:
OlgaM077 [116]3 years ago
3 0

Answer:

25.12 inches

Step-by-step explanation:

We have given the radius of the circle =12 inches

The central angle intercepted by the arc =120°

We have to find the length of the arc

So length of the arc is given by 2\pi \times r\times \frac{central\ angle}{360}

=\frac{2\times \pi \times 12\times 120}{360}=25.12inches

So the length of the arc will be 25.12 inch

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At a summer camp there is one counselor for every 5 campers. Determine whether there is a direct variation between the number of
adell [148]
Campers = y and counselors = x.....1 counselor to 5 campers

y = kx
k = y/x
k = 5/1

y = 5x

lets check..
y = 5x....lets say u have 2 counselors...sub in 2 for x
y = 5(2)
y = 10....so when there is 2 counselors, there are 10 campers

y = 5x...lets say u have 3 counselors...sub in 3 for x
y = 5(3)
y = 15...so when there are 3 counselors, there are 15 campers

2/10 reduces to 1/5
3/15 reduces to 1/5

so yes, this is a direct variation with ur equation being y = 5x

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All you have to do is use the Triangle Inequality Theorem, which states that the sum of two side lengths of a triangle is always greater than the third side. If this is true for all three combinations of added side lengths, then you will have a triangle therefore 3,4,5 is not triangle.

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