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sladkih [1.3K]
3 years ago
10

You want to make an angle measuring 35° by marking an arc on the perimeter of a disk with a diameter of 16 inches and drawing li

nes from the ends of the arc to the disk's center. to the nearest tenth of an inch, how long should the arc be?
Mathematics
1 answer:
Margaret [11]3 years ago
6 0
The arc length is given by
.. s = rθ . . . . . . θ is the central angle in radians
.. = (8 in)*(35/180*π)
.. ≈ 4.9 in

_____
A disk 16 inches in diameter has a radius of 8 inches.
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Answer:

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Step-by-step explanation:

We have the two functions:

f(x)=x^2-3x-10\text{ and } g(x)=x-5

And we want to find (f-g)(x).

(f-g)(x) is equivalent to f(x)-g(x).

Therefore:

\begin{aligned} (f-g)(x)&=f(x)-g(x)\\ &=(x^2-3x-10)-(x-5)\end{aligned}

Simplify:

\begin{aligned} &=x^2-3x-10-x+5 \\ &=(x^2)+(-3x-x)+(-10+5) \\ &=x^2-4x-5\end{aligned}

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Answer:

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