2 years ago

Find the surface area of the figure shown, correct to 2 decimal places.

Mathematics

1 answer:

agasfer [191]2 years ago

7 0

Answer:

$230.73m^2$

Step-by-step explanation:

$A=2a^2+4ah=2*4^2+4*4*4=96m^2$ (square prism)

$A=2\pi rh+2\pi r^2=2*\pi *4*9+2*\pi *4^2 = 326.73m^$ (cylinder)

$326.73-96=230.73m^2$ ( $\frac{3}{4}$ cylinder)

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Write the explicit formula that represents the geometric sequence -2, 8, -32, 128

MissTica

So hmm the first term is -2

and if we divide one term by the term before it, we'd get the "common ratio" "r"

so hmm say -32/8 that gives us -4, so r = -4

thus $\bf n^{th}\textit{ term of a geometric sequence}\\\\
a_n=a_1r^{n-1}\qquad 
\begin{cases}
a_1=\textit{first term}\\
r=\textit{common ratio}\\
----------\\
a_1=-2\\
r=-4
\end{cases}\implies a_n=-2(-4)^{n-1}$