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romanna [79]
3 years ago
7

A right prism has a base in the shape of an octagon. The side length of the octagon is 4 inches. The length of the apothem is 4.

83 inches. The height of the prism is 12 inches. What is the volume of the prism? Round your answer to the nearest whole number. cubic inches
Mathematics
1 answer:
EleoNora [17]3 years ago
4 0

Answer:

  927 cubic inches

Step-by-step explanation:

The area of the octagonal base is ...

  A = (1/2)Pa

where P is the perimeter, and 'a' is the apothem. Using the given numbers, the base area is ...

  A = (1/2)(8·4)(4.83) = 77.28 . . . square inches

The volume of the prism is given by ...

  V = Bh

where B represents the area of the base, and h is the height.

  V = (77.28 in^2)(12 in) = 927.36 in^3

The volume of the prism is about 927 cubic inches.

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In one town, the number of pounds of sugar consumed per person per year has a mean of 8 pounds and a standard deviation 3 of 20
lesantik [10]

Answer:

c. 1.67 standard deviations above the mean

Step-by-step explanation:

The z-score measures how many standard deviations a score X is from the mean. It is given by the following formula:

Z = \frac{X - \mu}{\sigma}

In which \mu is the mean and \sigma is the standard deviation.

A positive z-score means that X is above the mean, and a negative Z-score means that X i below the mean.

In this problem, we have that:

\mu = 8, \sigma = 3

Tyler consumed 13 pounds of sugar last year How many standard deviations from the mean is that?

This is Z when X = 13. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{13 - 8}{3}

Z = 1.67

So this is 1.67 standard deviations above the mean.

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3 years ago
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Serjik [45]
90° : )




the answer is 90 degrees :)
8 0
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In the figure, a∥b and m∠3 = 34°.<br><br> What is the m∠7 ?<br><br> Enter your answer in the box.
solmaris [256]

Answer:

∠7 = 34°

Step-by-step explanation:

Since a and b are parallel lines then

∠3 and ∠7 are corresponding angles and congruent, so

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The radius of a circle is 7 millimeters. What is the circle's area?<br> r=7 mm<br> Use 3.14 for a.
givi [52]

Answer:

153.86

Step-by-step explanation:

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Step-by-step explanation:

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