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aalyn [17]
3 years ago
13

Find the lateral area of the figure geometry

Mathematics
1 answer:
Arlecino [84]3 years ago
6 0

Answer:

  • A) 420 in²

Step-by-step explanation:

The lateral surface area excludes the area of top and bottom faces.

Given is the right pentagonal prism with side length of 7 in and height of 12 in.

<u>The lateral area is:</u>

  • L = Ph = 5*7*12 = 420 in²

Correct choice is A

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A=P(1 + r)^t\qquad \begin{cases} A=\textit{accumulated amount}\dotfill &1000\\ P=\textit{initial amount}\dotfill &250\\ r=rate\to 16\%\to \frac{16}{100}\dotfill &0.16\\ t=\textit{elapsed time} \end{cases} \\\\\\ 1000=250(1.16)^t\implies \cfrac{1000}{250}=1.16^t\implies 4=1.16^t \\\\\\ \log(4)=\log(1.16^t)\implies \log(4)=t\log(1.16) \\\\\\ \cfrac{\log(4)}{\log(1.16)}=t\implies \stackrel{\textit{about 9 years and 4 months}}{9.34\approx t}

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