Use the circle to represent the following situation and show how you came up with the answer.

Mathematics

1 answer:

Makovka662 [10]3 years ago

7 0

Answer:

Angle of slice (θ) = 172° (Approx.)

Step-by-step explanation:

Given:

Area of pizza slice = 16 inch²

Total area of pizza = 33.49 inch²

Find:

Angle of slice (θ)

Computation:

Area of circle = [π][r²]

Area of pizza slice = [π][r²]

[π][r²] = 33.49

[3.14][r²] = 33.49

Radius = 3.26 inch (Approx.)

Area of sector = [θ/360][π][r²]

16 = [θ/360][3.14][3.26²]

16 = [θ/360][3.14][10.6276]

16 = [θ/360][33.37]

Angle of slice (θ) = 172° (Approx.)

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