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3 years ago

For a circle with a radius of 15 cm, what is the length of an arc intercepted by an angle measuring 120°?

Mathematics

1 answer:

slega [8]3 years ago

5 0

Answer: 31.43 cm

Step-by-step explanation:

The length of an arc is calculated using the formula:

$\frac{theta}{360}$ X 2 $\pi$ r

where : theta is the angle in degree

r = radius

If the angle is given in Radian , the length can be calculated using the formula:

L = r∅

Since , the angle is given in degree , we will use the first formula.

L = $\frac{theta}{360}$ X 2 $\pi$ r

L = $\frac{120}{360}$ X 2 X π X 15

L = $\frac{1}{3}$ X 2 X $\frac{22}{7}$ X 15

L = $\frac{660}{21}$

L = 31.42857143

L ≈ 31.43 cm

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2 years ago

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3 years ago

Mr. Young is offered an investment opportunity. Kyra says she will invest his money at a 6% simple interest rate over the next 7

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Answer:

$126

Step-by-step explanation:

Given that:

Investment is done as per Simple interest.

Principal = $3000

Time for which the investment is to done = 7 years

Rate of interest = 6%

To find:

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Solution:

Formula for Simple Interest :

$Simple\ Interest = \dfrac{PRT}{100}$

Where $P$ is the principal amount

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$T$ is the time for which the investment is made

Putting the given values:

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3 years ago

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SashulF [63]

Answer:

See below

Step-by-step explanation:

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Replace y with f-¹(x) ,

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