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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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The class scores of a history test have a normal distribution with a mean Mu = 79 and a standard deviation Sigma = 7. If Opal’s

e-lub [12.9K]

Using the normal distribution, we got that expression for the z-score of her test score is

$z= \frac{72-29}{7} \\\\z=-7/7\\\\z=-1$

<h3>What is Normal Probability Distribution?</h3>

it's a type of probability distribution which is symmetric about the mean, it gives data near the mean are more frequent than data far from the mean.

Given that mean = $\mu=79$

and standard deviation = $\sigma = 7$

X=73

we know that formula of z-score is

$z=\frac{X-\mu}{\sigma}$

Hence Z-score can be calculated as

$z= \frac{72-29}{7} \\\\z=-7/7\\\\z=-1$

Using the normal distribution, we got that expression for the z-score of her test score is

$z= \frac{72-29}{7} \\\\z=-7/7\\\\z=-1$

To learn more about the normal distribution visit : brainly.com/question/24663213

3 0

3 years ago

Given that 1 inch = 2.54 cm, how many centimeters are there in 7 feet? Answers may be written using decimals form and should be

vodomira [7]

Answer:

There are 213.36 centimeters in 7 feet.

Step-by-step explanation:

It is given that:

1 inch = 2.54 cm

We have to find centimeters in 7 feet.

We will convert feet to inches.

1 feet = 12 inches

7 feet = 12*7 = 84 inches

Now,

1 inch = 2.54 cm

84 inches = 2.54 * 84

84 inches = 213.36 cm

Therefore,

There are 213.36 centimeters in 7 feet.

5 0

3 years ago

32/? = 20/25 find the value the completed the proportion.

lord [1]

<h3>♫ - - - - - - - - - - - - - - - ~<u>Hello There</u>!~ - - - - - - - - - - - - - - - ♫</h3>

➷ 20/25 = 0.8

32/0.8 = 40

The answer is 40

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ ʜᴀɴɴᴀʜ ♡

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3 years ago

I'll give anyone a brainlest if the first person answers it

steposvetlana [31]

Answer:

It's either y=1/2x or y=2x

Step-by-step explanation:

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3 years ago

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