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Zepler [3.9K]
3 years ago
12

BRO PLS I HAVE TO PASS THIS (click for question) 20 POINTS!

Mathematics
1 answer:
Masja [62]3 years ago
3 0

Answer:

D, E.

Step-by-step explanation:

<u>Simplify</u><u> </u><u>the</u><u> </u><u>expression</u><u> </u><u>inside</u><u> </u><u>the</u><u> </u><u>parentheses</u><u>:</u>

3(23 + 18) < 6a

3(41) < 6a

<u>Multiply:</u>

123 < 6a

<u>Substitute each value provided for a:</u>

Opt A. 123 < 6(18) = 123 < 108. Incorrect option.

Opt B. 123 < 6(19) = 123 < 114. Incorrect option.

Opt C. 123 < 6(20) = 123 < 120. Incorrect option.

Opt D. 123 < 6(22) = 123 < 132. Correct option.

Opt E. 123 < 6(24) = 123 < 144. Correct option.

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Check the picture below.

\textit{using the pythagorean theorem} \\\\ c^2=a^2+b^2\implies \sqrt{c^2-b^2}=a \qquad \begin{cases} c=hypotenuse\\ a=adjacent\\ b=opposite\\ \end{cases} \\\\\\ \sqrt{19.5^2-18^2}=r\implies \sqrt{56.25}=r \\\\[-0.35em] ~\dotfill

\textit{lateral area of a cone}\\\\ LA=\pi r\sqrt{r^2+h^2}~~ \begin{cases} r=radius\\ h=height\\ \stackrel{slant~height}{\sqrt{r^2+h^2}}\\[-0.5em] \hrulefill\\ r=\sqrt{56.25} \end{cases}\implies \begin{array}{llll} LA=\pi \sqrt{56.25}\stackrel{slant~height}{(19.5)} \\\\\\ LA\approx 459.46~cm^2 \end{array}

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