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larisa86 [58]
3 years ago
9

What is the area of a regular octagon with a apothem of 16 inches long and a side of 19 in Long round the answers to the nearest

tenth?
A 144in2
B 216in2
C 1215in2
D 2432in2
Mathematics
2 answers:
8_murik_8 [283]3 years ago
4 0

Answer:

A = 1216 in^2

I just took the test and this is correct

azamat3 years ago
3 0
To find the area of any regular (regular means all sides are = and all angles are =)  poylgon when you know the length of the apothem and the length of the side you can use the formula:
A = (1/2)ap where a = the length of the apothem and p = the perimeter of the polygon. You can also use n*s in place of p where n = the number of sides of the polygon and s = the length of the side.

A= (1/2)(16)(19*8) (An octagon has 8 sides.)
A = 1216 in^2
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Step-by-step explanation:

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What is the equivalent expression for 8w - 16?
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Read 2 more answers
If Upper X overbar equals 62​, Upper S equals 8​, and n equals 36​, and assuming that the population is normally​ distributed, c
marishachu [46]

Answer:

The 99% confidence interval would be given by (58.373;65.627)    

We are 99% confident that the true mean for the variable of interest is between 58.373 and 65.627.

Step-by-step explanation:

Previous concepts

A confidence interval is "a range of values that’s likely to include a population value with a certain degree of confidence. It is often expressed a % whereby a population means lies between an upper and lower interval".

The margin of error is the range of values below and above the sample statistic in a confidence interval.

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\bar X=62 represent the sample mean

\mu population mean (variable of interest)

s=8 represent the sample standard deviation

n=36 represent the sample size  

Part a: Confidence interval

The confidence interval for the mean is given by the following formula:

\bar X \pm t_{\alpha/2}\frac{s}{\sqrt{n}}   (1)

In order to calculate the critical value t_{\alpha/2} we need to find first the degrees of freedom, given by:

df=n-1=36-1=35

Since the Confidence is 0.99 or 99%, the value of \alpha=0.01 and \alpha/2 =0.005, and we can use excel, a calculator or a table to find the critical value. The excel command would be: "=-T.INV(0.005,35)".And we see that t_{\alpha/2}=2.72

Now we have everything in order to replace into formula (1):

62-2.72\frac{8}{\sqrt{36}}=58.373    

62+2.72\frac{8}{\sqrt{36}}=65.627    

So on this case the 99% confidence interval would be given by (58.373;65.627)    

We are 99% confident that the true mean for the variable of interest is between 58.373 and 65.627.

3 0
3 years ago
Can someone explain this, please
xenn [34]

Answer:

its the 3 one

Step-by-step explanation:

3 0
3 years ago
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