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2 years ago

11

A circle has a radius of 10 inches. Find the approximate length of the arc intersected by a central angle of 2(pi)/3

1 answer:

Svetach [21]2 years ago

6 0

$\bf \textit{arc's length}\\\\ s=r\theta ~~ \begin{cases} r=&radius\\ \theta =&angle~in\\ &radians\\ \cline{1-2} r=&10\\ \theta =&\frac{2\pi }{3} \end{cases}\implies s=10\left( \cfrac{2\pi }{3} \right)\implies s=\cfrac{20\pi }{3}\implies s\approx 20.94$

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Molodets [167]

Answer:

Pr(3worker's comp cases and 4 Medicare patients) = 0.37879

Step-by-step explanation:

Number of worker’s comp cases = 6

Number of Medicare patients = 6

Total number of people = 6 + 6 = 12

Total number of ways of selecting 7 people from 12 people = 12C7

Total number of ways of selecting 7 people from 12 people = $\frac{12!}{(12-7)!7!}$

Total number of ways of selecting 7 people from 12 people = 792 ways

Number of ways of selecting 3 worker's comp cases = 6C3

Number of ways of selecting 3 worker's comp cases = $\frac{6!}{(6-3)!3!}$

Number of ways of selecting 3 worker's comp cases = 20 ways

Number of ways of selecting 4 Medicare patients= 6C4

Number of ways of selecting 4 Medicare patients = $\frac{6!}{(6-4)!4!}$

Number of ways of selecting 4 Medicare patients = 15 ways

Pr(3worker's comp cases and 4 Medicare patients) = (15*20)/792

Pr(3worker's comp cases and 4 Medicare patients) = 300/792

Pr(3worker's comp cases and 4 Medicare patients) = 0.37879

4 0

3 years ago

What is the solution to the system?<br> 8x + 4y = 12<br> y = -2x + 3

elena-s [515]

Answer:

Step-by-step explanation:

use substitution and solve this 8x+4(-2x+3)=12

with the 4 distributed its

8x-8x+12=12

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6 0

2 years ago

The probability that a radish seed will germinate is 0.7. A gardener plants seeds in batches of 12. Find the mean for the number

Sever21 [200]

Answer:

mean = 8.4

Step-by-step explanation:

Mathematically, we have the mean as np

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Mathematically, we have this as:

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2 years ago

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Scilla [17]

Answer:

36

Step-by-step explanation:

10*3600/1000

36000/1000

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2 years ago

Use the box method to distribute and simplify (-5x-2)(-2x^2+6x).

Mkey [24]

Answer:

$10x^{3} - 26x^{2} - 12x$

Step-by-step explanation:

1) Use the FOIL method: (a+b)(c+d)=ac+ad+bc+bd.

$10x^{3} - 30x^{2} + 4x^{2} -12x$

2) Collect like terms.

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3) Simplify.

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Therefor, the answer is, 10x^3 - 26x^2 - 12x.

3 0

2 years ago