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vfiekz [6]
3 years ago
9

What is the radius of a circle in which a 30° arc is 2 pi inches long?

Mathematics
2 answers:
Amiraneli [1.4K]3 years ago
7 0
A = C/12 = 2pi r/ 12 = pi r/6 = 2pi
Cancel out pi and you get
r/6 =2 → r=12

Answer: B) 12 inches
kifflom [539]3 years ago
4 0
The answer is 12 inches
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I’m confused on this one but I’m sure I can figure it out with a straight answer, does it tell you how much of a percentage he gets off of his commission???

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18 POINTS! At the AoPS office, mice vary inversely with cats, that is, mice=k/cats, for some value of k. When there are 3r-19 ca
Blizzard [7]

Answer:

k=30

Step-by-step explanation:

The number of mice vary inversely with cats. This is written as:

Mice \propto \dfrac{1}{Cat} \\Mice = \dfrac{k}{Cat}

When there are 3r-19 cats, there are 2r+1 mice

2r+1 = \dfrac{k}{3r-19}\\$Cross multiply$\\k=(3r-19)(2r+1)

When there are 6r-27 mice, there are r-5 cats.

6r-27 = \dfrac{k}{r-5}\\$Cross multiply$\\k=(6r-27)(r-5)

Taking the values of k above, we have:

k=(3r-19)(2r+1) =(6r-27)(r-5)\\(3r-19)(2r+1) =(6r-27)(r-5)\\6r^2+3r-38r-19=6r^2-30r-27r+135\\$Collect like terms\\6r^2-6r^2+3r+30r-38r+27r-19-135=0\\22r-154=0\\22r=154\\$Divide both sides by 22\\r=7

Therefore:

k=(3r-19)(2r+1) \\=(3*7-19)(2*7+1)\\=(21-19)(14+1)\\=2*15\\k=30

8 0
3 years ago
Thank you!!!!!!!!!!!!
AlekseyPX

Answer:

6

Step-by-step explanation:

square root of 36 is 6 ^w^

u = 6

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Help!! on question 13, solve each equation for x.
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5 0
3 years ago
Solve the quadratic equation: -x^2 = 4
arsen [322]

So listen to your teacher next time

6 0
3 years ago
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