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3 years ago

A circle with area 9 pi, has sector with central angle of 17/9 pi radians

Mathematics

1 answer:

mr_godi [17]3 years ago

3 0

Answer:

The area of the sector is 17/2 π

Step-by-step explanation:

pi = π

To solve this problem we first have to find the fraction that corresponds to this angle of the total, for this we must divide the angle that they give us by 2π radians, since that is the angle of a circle

(17π/9 rad) / (2π rad) = 17/18

Now we multiply the area of the circle by this fraction and we will obtain the area of the sector that we want

9π * 17/18 = 17/2 π

The area of the sector is 17/2 π

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What is equivalent decimal for 0.85

Alex_Xolod [135]

Answer:

17/20

Step-by-step explanation:

0.85 = 85/100 = 17/20

The number 0.85 can be written using the fraction 85/100 which is equal to 17/20 when reduced to lowest terms.

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3 years ago

Expand the expression by distributing <br> -2(-4x-7)

vova2212 [387]

-2(-4x-7)
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3 years ago

Read 2 more answers

Weights were recorded for all nurses at a particular hospital, the mean weight for an individual nurse was 135 lbs. with a stand

Aloiza [94]

Given:
population mean, μ =135
population standard deviation, σ = 15
sample size, n = 19

Assume a large population, say > 100,
we can reasonably assume a normal distribution, and a relatively small sample.
The use of the generally simpler formula is justified.

Estimate of sample mean
$\bar{x}=\mu=135$

Estimate of sample standard deviation
$\s=\sqrt{\frac{\sigma^2}{n}}$
$=\sqrt{\frac{15^2}{19}}=3.44124$ to 5 decimal places.

Thus, using the normal probability table,
$P(125$
$=P(\frac{125-135}{3.44124}$
$=P(-2.90593$
$=P(Z$
$=P(Z$

Therefore
The probability that the mean weight is between 125 and 130 lbs
P(125<X<130)=0.0731166-0.0018308
=0.0712858

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3 years ago

There are 5,280 feet in a mile. A jet is flying at an altitude of 33,400 feet. To the nearest 0.1 mi, how many miles high is the

e-lub [12.9K]

Divide 33,400 by 5280 and you get 6.3 miles

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3 years ago

What is y = -3x in standard form?

worty [1.4K]

For Ax+By=C, we have y=-3x. We want both the y and x variable on the same side, and that leads us to either subtract y from both sides or add 3x to both sides. You can do either, but I personally prefer the latter, so we have 3x+y=0. We have A=3 (since that is the coefficient for x) and B=1 (since 1*y=y). Lastly, C=0

Feel free to ask further questions!

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3 years ago