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3 years ago

14

in a cirlce of radius 5 cm, what is the length in cm of an arc subtended by a central angle measuring 2 radians?

1 answer:

iragen [17]3 years ago

4 0

Answer:

The length L is 10 cm

Step-by-step explanation:

We need to find the length of the arc subtended by a central angle of 2 radians and the circle has radius of 5cm.

So, the formula used will be:

l = r Θ

Where L= length of arc

r= radius of circle

and Θ is angle

In The given question

L=?

r = 5 cm

Θ = 2 radians

Putting values in formula:

L = r Θ

L = 5 * 2

L = 10 cm

So, the length L is 10 cm

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The mean height of a Clydesdale horse is 72 inches with a standard deviation of 1.2 inches. What is the probability that a Clyde

Lubov Fominskaja [6]

Answer:

0.0062

Step-by-step explanation:

Given that:

Mean (μ) = 72 inches, Standard deviation (σ) = 1.2 inches.

The z score is a measure in statistics is used to determine by how many standard deviation the raw score is above or below the mean. If the raw score is above the mean, the z score is positive and if the raw score is below the mean, the z score is negative.

The z score is given as:

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

For Clydesdale is greater than 75 inches tall, x = 75 inches, the z score is:

$z=\frac{x-\mu}{\sigma}=\frac{75-72}{1.2} =2.5$

The probability that a Clydesdale is greater than 75 inches tall = P(X > 75) = P(Z > 2.5) = 1 - P(Z < 2.5) = 1 - 0.9938 = 0.0062 = 0.62%

The probability that a Clydesdale is greater than 75 inches tall is 0.62%

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3 years ago

Ten friends share 6 pizza what fraction does each friend get

riadik2000 [5.3K]

1.6 pieces of pizza for each person.

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Jake's apple farm has 228 apple trees. Last year, 182,172 apples were produced at Jake's apple farm. If each apple tree produced

skelet666 [1.2K]

Answer:

799 apples were produced by each tree.

Step-by-step explanation:

182,172 apples evenly produced by 228 trees.

182,172 apples ÷ 228 trees = 799 apples per tree

799 apples • 228 trees = 182,172 apples

I hope this helps

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3 years ago

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Jackson owes his sister Monica $15. Explain the meaning of zero in this situation.

ludmilkaskok [199]

accounting wise, if a value is positive, is an asset, you're above water, +50, you have 50 bucks in your account/pocket.

if a value is negative, is a liability, you're below water, -50, you owe 50 bucks, you're in the hole for 50 clams.

so Jackson owes Monica $15, he's in the hole for 15 bucks, namely his balance with his sister is -15.

if he pays her $1, he owes her 14, so -14 is his balance, let's make a quick table of that

pays her 1................... -14

pays her 2..................-13

pays her 3...................-12

and so on

pays her 13.................-2

pays her 15..................0

0 means, he paid her in full.

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3 years ago

40% of what number is 68?

MakcuM [25]

0.4 * x = 68
x = 68/0.4
x = 170

check:

0.4 * 170 = 68

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