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Grace [21]
3 years ago
5

In a sequence described by a function, what does the notation f(3) = 1 mean?

Mathematics
1 answer:
LuckyWell [14K]3 years ago
7 0

Answer:

B.  

The third term in the sequence has a value of 1.

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Find the area of the shaded region.
Shtirlitz [24]

so, if you notice the inscribed regular pentagon, it "emits" 5 radii from the center of the circle, making 3 equal angles.


well, a circle has a total of 360°, so each angle must then be 360°/5, or 72°.


if we notice the line on the right-side, the diameter of the circle is 16 units, meaning its radius is 8 units.


so a shaded section is really just the area of a segment of a circle with an angle of 72° and a radius of 8, keeping in mind we have 3 segments there.


\bf \textit{area of a segment of a circle}\\\\
A=\cfrac{r^2}{2}\left[ \cfrac{\pi \theta }{180}~~-~~sin(\theta ) \right]~~
\begin{cases}
r=radius\\
\theta =angle~in\\
\qquad degrees\\
------\\
r=8\\
\theta =72
\end{cases}
\\\\\\
A= \cfrac{8^2}{2}\left[ \cfrac{\pi(72)  }{180}~~-~~sin(72^o ) \right]\implies A=32\left[ \cfrac{9\pi }{10}~~-~~ \stackrel{\approx}{0.95}\right]
\\\\\\
A\approx 9.7785774445044391446\qquad \qquad \stackrel{3~segments}{3A\approx 29.3357323335133174}

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3 years ago
Find the gradient of the line segment between the points (-1,3) and (1,-2).
RideAnS [48]

The answer is -5/2, hope this helps you!

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3 years ago
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