Which story represents the graph below?

Mathematics

1 answer:

xz_007 [3.2K]3 years ago

6 0

It's definitely not the first option, since the student first "slowly" walked to the bus station. Also, the student waited and stopped, so the speed should have been zero.

It's most likely the second option. The speed increases, stays constant, and increases again, which is exactly what's happening to the car's speed.

I'd choose the second choice.

Have an awesome day! :)

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IF NR = 8 ft, what is the length of arc NMP. Round to the nearest tenth.

Pavlova-9 [17]

Check the picture below.

since chords NQ and MP cross the center of the circle at R, that means that those two chords are diametrical chords and the angles made by both are vertical angles and thus twin angles, namely both are 18° as you see in the picture, so the angle NMP in magenta is really 162° + 18° + 18° = 198°, and we know the radius NR is 8.

$\textit{arc's length}\\\\ s=\cfrac{r\pi \theta }{180}~~ \begin{cases} r=radius\\ \theta =\stackrel{degrees}{angle}\\[-0.5em] \hrulefill\\ r=8\\ \theta =198 \end{cases}\implies s=\cfrac{(8)\pi (198)}{180}\implies s\approx 27.6$