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drek231 [11]
3 years ago
12

A bus covers a distance of 2.45 km in 2 min. What is the speed of bus?​

Mathematics
1 answer:
Vladimir [108]3 years ago
7 0

Answer:

The speed of the bus is 74.242 kilometers per hour.

Step-by-step explanation:

Let suppose that bus runs at constant speed and that speed is measured in kilometers per hour. Then, the speed of the bus (v), in kiometers per hour, is determined by following kinematic expression:

v = \frac{s}{t} (1)

Where:

s - Travelled distance, in kilometers.

t - Time, in hours.

If we know that s = 2.45\,km and t = 0.033\,h, then the speed of the bus is:

v = \frac{s}{t}

v = 74.242\,\frac{km}{h}

The speed of the bus is 74.242 kilometers per hour.

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

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