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Eddi Din [679]
3 years ago
6

A regular pentagon has an apothem of 7.3 inches and a perimeter of 53 inches. What is the area of the pentagon? Round your answe

r to the nearest WHOLE NUMBER. Remember if your number is .5 or higher, you round up. If it is less than .5, round down. *
Mathematics
1 answer:
Pavel [41]3 years ago
6 0

Answer:193

Step-by-step explanation:Area = 1/2(apothem)(perimeter)

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Mean = 68.9

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Step-by-step explanation:

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\begin{array}{cccccc}{Class} & {51-58} & {59-66} & {67-74} & {75-82} & {83-90} \ \\ {Frequency} & {6} & {3} & {11} & {13} & {4} \ \end{array}

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So, the table becomes:

\begin{array}{cccccc}{x} & {54.5} & {62.5} & {70.5} & {78.5} & {86.5} \ \\ {Frequency} & {6} & {3} & {11} & {13} & {4} \ \end{array}

The mean is then calculated as:

Mean = \frac{\sum fx}{\sum f}

Mean = \frac{54.5*4+62.5*3+70.5*11+78.5*13+86.5*4}{6+3+11+13+4}

Mean = \frac{2547.5}{37}

Mean = 68.9 -- approximated

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This is calculated as:

s^2 =\frac{\sum (x - \overline x)^2}{\sum f - 1}

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s^2 =\frac{(54.5-68.9)^2+(62.5-68.9)^2+(70.5-68.9)^2+(78.5-68.9)^2+(86.5-68.9)^2}{37 - 1}

s^2 =\frac{652.8}{36}

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