The sector of a circle has an area of 104pi/9 square inches and a central angle with measure 65 degrees. What is the radious of the circle in inches? Show work. a. 5.7 b. 8 c. 64 d. 104

Answers

Answer 1

Answer: b. 8

Step-by-step explanation: I don’t have work

Answer 2

The radius of the circle in inches should be considered as the 8 when the measurement of the central angle is given.

Calculation of the radius of the circle;

Since

The sector of a circle has an area of 104pi/9 square inches and a central angle with measure 65 degrees.

Also we know that

Area of the sector = [tex]65 / 360 *[/tex] Area of circle

[tex]104\pi \div 9 = 65\div 360 (\pi r^2)\\\\104\div 9 = 65\div 360 r^2\\\\[/tex]

r = 8

Hence, The radius of the circle in inches should be considered as the 8.

Learn more about circle here: https://brainly.com/question/15593101


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Write the equation in standard form for the circle x^2 + y^2 + 16x + 28 = 0.

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Answer:

( x + 8 ) ^2+ y^2= 36

Step-by-step explanation:

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K=12 if you want explanation i will

Explanation:
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A meteorologist stated that 1 foot of snowfall would melt to make 2 inches of water. Based on this rule, how much water should result from 84 inches of snowfall ?

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80 I guess is the answer

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it a quadrilateral, square, and parallelogram.

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2x + 3y = 32
y = x + 9

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Answer:

x=1 and y=10 (1,10)

Step-by-step explanation:

2+30=32

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Please help I don't get this

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Answer:

18n+9

Step-by-step explanation:

9(2n+1)

multiply the 9 with the numbers in the parenthesis

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Answer:

1 6 3b 0ny 5i bhk

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The top angle is 56 degrees

The bottom angle is 34 degrees

X=29

Answer:

x = 29

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Step-by-step explanation:

90 + (2X-2) + (X+5) = 180

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C/2 - 3 + 6/d when c=14 d=3

Answers

Answer:

6

Step-by-step explanation:

14/2 - 3 + 6/3

Divide 14 by 2 to get 7.

7−3+6/3

Subtract 3 from 7 to get 4.

4+6/3

Divide 6 by 3 to get 2.

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39 inches is the right answer just did the test on edge

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Yup 39 is the correct answer good job :-)

Answer:

thanks have a nice day can you please mark me brainliest im trying to rank up and i  need 2 more brainlys

Step-by-step explanation:

s + 10.7 = 7.2



s = ?
how do i solve

Answers

10.7 - 7.2 = 3.5
So -3.5 + 10.7 = 7.2

simplify 5p - 3 p + p​

Answers

the answer is 3p

hope it helps!

Answer: 3p

Step-by-step explanation:

5 − 3 + =

3

PLEASEEEE HELP THIS IS DUE TODAY!!!

Answers

Answer: $200

Step-by-step explanation:

On the X axis, it shows the kilograms. Since the problem asks for how much money she makes for 60 kg, go to the point on the X axis that represents 60 kg and then go up to the corresponding y or dollar value, which is 200.

The overhead reach distances of adult females are normally distributed with a mean of 200 cm and a standard deviation of 8.3 cm. a. Find the probability that an individual distance is greater than 210.00 cm. b. Find the probability that the mean for 20 randomly selected distances is greater than 197.80 cm c. Why can the normal distribution be used in part​ (b), even though the sample size does not exceed​ 30?

Answers

Answer:

a) 0.1151 = 11.51% probability that an individual distance is greater than 210.00 cm.

b) 0.883 = 88.3% probability that the mean for 20 randomly selected distances is greater than 197.80 cm.

c) The distribution of the population is normal, which means that the sample size does not need to exceed 30.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

The overhead reach distances of adult females are normally distributed with a mean of 200 cm and a standard deviation of 8.3 cm.

This means that [tex]\mu = 200, \sigma = 8.3[/tex]

a. Find the probability that an individual distance is greater than 210.00 cm.

This is 1 subtracted by the pvalue of Z when X = 210. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]Z = \frac{210 - 200}{8.3}[/tex]

[tex]Z = 1.2[/tex]

[tex]Z = 1.2[/tex] has a pvalue of 0.8849

1 - 0.8849 = 0.1151

0.1151 = 11.51% probability that an individual distance is greater than 210.00 cm.

b. Find the probability that the mean for 20 randomly selected distances is greater than 197.80 cm

Now [tex]n = 20, s = \frac{8.3}{\sqrt{20}} = 1.8559[/tex]

This probability is 1 subtracted by the pvalue of Z when X = 197.8. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{197.8 - 200}{1.8559}[/tex]

[tex]Z = -1.19[/tex]

[tex]Z = -1.19[/tex] has a pvalue of 0.117

1 - 0.117 = 0.883

0.883 = 88.3% probability that the mean for 20 randomly selected distances is greater than 197.80 cm.

c. Why can the normal distribution be used in part​ (b), even though the sample size does not exceed​ 30?

The distribution of the population is normal, which means that the sample size does not need to exceed 30.

Work out the size of angle x.

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Answer:

First: 105

Second: 65

Third: 133

Fourth: 129

Fifth: 60

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Answers

Answer:

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Answer:

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Which equation shown below would have a solution set to the system shown below?
x+ 2y = 4
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Step-by-step explanation:

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Answer:

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Step-by-step explanation:

The equation is y = -7x - 6.

The initial value is found when x = 0.

y = -7(0) - 6

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A photographer has a print that is 3.5 inches wide and 2.5 inches tall. If the photographer enlarges the print so that it is 7 inches wide, how tall will it be?
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Step-by-step explanation:

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Answer:

2000 minutes on 16 miles

Answer:

168.75 minutes

Step-by-step explanation:

Francine's speed (the unit rate) is (16 miles) / (45 minutes), or 16/45 miles/min.

Recalling that distance = speed times time, we recognize that

time = distance / speed

which here is  

(60 miles) / (16/45) miles/min = 168.75 minutes, or 168 min 45 sec

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Because when we subtract 80 and 40 is equal 40 or 160 and 40 is 120.

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