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3 years ago

In a circle, an arc length of 6.6 is intercepted by central angle of 2/3 radians. Determine the length of the radius.

Mathematics

1 answer:

Harlamova29_29 [7]3 years ago

3 0

Answer:

9.9

Step-by-step explanation:

To solve this problem, we first need to know that the whole length of the circunference is related to a central angle of 2pi radians. Then, we can solve using a rule of three to find the radius:

arc of 6.6 -> central angle of 2/3

arc of 2*pi*r -> central angle of 2pi

2*pi*r * (2/3) = 6.6 * 2*pi

r * (2/3) = 6.6

r = 6.6 / (2/3) = 9.9

So the length of the radius is 9.9

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Answer:

a: 4.12310563

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3 years ago

If you write 14 to the 6 power in expanded form, how many factor will there be?

shepuryov [24]

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3 years ago

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At an Italian store the price for T-shirt is 55 euros what is the price in US dollars

Zinaida [17]

Answer:

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Step-by-step explanation:

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2 years ago

Which equation, when graphed, has x-intercepts at (2, 0) and (4, 0) and a y-intercept of (0, –16)?

vova2212 [387]

f(x)= -2 (x - 2) ( x - 4)

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⇒ f(x)= -2 (x - 2) ( x - 4) is the answer

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2 years ago

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The security system in a house has two units that set off an alarm when motion is detected. Neither one is entirely reliable, bu

Mariulka [41]

Answer:

Probability that detector B goes off is '0.615'

Step-by-step explanation:

Given that:

1) Probability that detector A goes off and detector B does not go off is 0.25.

2)Probability that detector A does not go off is 0.35.

3)Probability that detector A goes off is (1-0.35)=0.65

Assuming that

Probability that detector B goes off is 'p' Hence the probability that detector B does not goes off is (1-p)

Thus the probability that detector A goes off and detector B does not go off is product of the individual probabilities

$P(E)=0.65\times (1-p)\\\\0.65\times (1-p)=0.25\\\\0.65-0.65p=0.25\\\\0.65-0.25=0.65p\\\\\therefore p=\frac{0.40}{0.65}=0.615$

Probability that detector B goes off is '0.615'

5 0

3 years ago