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My name is Ann [436]
3 years ago
8

If the circumference of a circle is 120 inches and M angle B equals 18° then what is the length of arc AC

Mathematics
1 answer:
Andru [333]3 years ago
6 0

Answer:

For a circle of radius R, the circumference is:

C = 2*pi*R

where pi = 3.14

And if we have an arc defined by an angle θ, the length of the arc is:

A = (θ/360°)*2*pi*R

Here we can not see the image, then i assume that B is the angle that defines the arc AC.

Now we know that the circumference is 120 in, then:

2*pi*R = 120in

Then the length of the arc is:

A = (θ/360°)*120 in

Then if the angle is 18°, we have:

A = (18°/360)*120 in = 6in

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Find angle m and angle n
san4es73 [151]

Answer:

m∠M = 79°

m∠N = 66°

Step-by-step explanation:

∠MPN is supplementary to ∠MPQ, so m∠MPN = 35

The sum of the measures of a triangle is 180.

So, m∠M + m∠N + m∠MPN = 180

5y + 4 + 4y + 6 + 35 = 180

9y + 45 = 180

9y = 135

y = 15

m∠M = 5y + 4 = 5(15) + 4 = 75 + 4 = 79

m∠N = 4y + 6 = 4(15) + 6 = 66

Another way to do this problem, which is easier, is to know that an exterior angle of a triangle is equal to the sum of the two remote interior angles.

That means 5y + 4 + 4y + 6 = 145

                      9y + 10 = 145

                      9y = 135

                         y = 15

From knowing the value of y you can now find the measures of angles M and N

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A team of 15 workers picked 1,050 apples. Each person picked the same number of apples. How many did each worker pick?
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Step-by-step explanation:

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y = -8

Step-by-step explanation:

The domain is the x values so x=-3

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Substituting x=-3

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