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Evgen [1.6K]
3 years ago
5

If each interior angle of a regular polygon measures 144 degrees, how many sides does the polygon have?

Mathematics
1 answer:
LuckyWell [14K]3 years ago
4 0
180(n-2)=n*144 in our casesolving for n we obtain:36n = 360n=10 sidesCHECK!!!!!!!!!!!!!!!!!!!
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Suppose that a jewelry store tracked the amount of emeralds they sold each week to more accurately estimate how many emeralds to
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Answer: The point estimate for the mean is <u>2.59</u> and the margin of error is <u>0.13</u> .

Step-by-step explanation:

The confidence interval for population mean is given by :-

\mu\pm E, where E is the margin of error .

Given : At the end of one year, the store used the weekly sales information to construct a 95% confidence interval for the mean number of emeralds sold per week.

The confidence interval they calculated was (2.46,2.72) .

The lower limit of the confidence interval : \mu-E=2.46                 (1)

The upper limit of the interval :  \mu+E=2.72                                 (2)

Adding (1) and (2) , we get

2\mu=5.18\\\\\Rightarrow\mu=2.59

Now, Subtracting (1) from (2) , we get

2E =0.26\\\\\Rightarrow\ E=0.13

Hence, the point estimate for the mean is 2.59 and the margin of error is 0.13 .

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4 years ago
How do you solve for the segment area in a circle?
Aleks04 [339]
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sector area = 1 / 6 * 3.14159265... * 20^2
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segment area = sector area - triangle DEF Area
triangle DEF Area = (1/2) * 20 * sine 60 * 20
triangle DEF Area = (1/2) * 0.86603 * 400
triangle DEF Area = <span><span><span>(1/2) * 346.412 </span> </span> </span>
triangle DEF Area = <span> <span> <span> 173.206 </span> </span> </span>

segment area = <span> <span> 209.4395102393 </span> -173.206
</span>
segment area = <span> <span> <span> 36.2335102393 </span> </span> </span>
segment area = 36.23 m

Source:
http://www.1728.org/circsect.htm



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