$15~~,~~\stackrel{15+8}{23}~~,~~\stackrel{23+8}{31}~~,~~\stackrel{31+8}{39}~~,~~...~\hspace{10em}\stackrel{common~difference}{d=8} \\\\[-0.35em] ~\dotfill\\\\ n^{th}\textit{ term of an arithmetic sequence} \\\\ a_n=a_1+(n-1)d\qquad \begin{cases} a_n=n^{th}\ term\\ n=\stackrel{\textit{term position}}{59}\\ a_1=\stackrel{\textit{first term}}{15}\\ d=\stackrel{\textit{common difference}}{8} \end{cases} \\\\\\ a_{59}=15+(59-1)8\implies a_{59}=15+472-8\implies a_{59}=479$

4 0

3 years ago

Please help. thanks.

Free_Kalibri [48]

Hello!

You have to find the area of the prism and the pyramid

rectangular prism is lwh

Put in the values you know

15 * 5 * 7 = 525

For a prism you use

$\frac{lwh}{3}$

Put in the values you know

$\frac{15 * 5 *13 }{3}$

Multiply

975/3

Divide

325

Add the values you know

325 + 525 = 850

The answer is D) $850cm^{3}$

Hope this helps!

5 0

4 years ago