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vredina [299]
3 years ago
14

The diagram below shows the partial construction of which shape?

Mathematics
2 answers:
Gnom [1K]3 years ago
8 0
If we join all the points where the diameter and the 2 arcs meet the cirsle well have 6 equal lines 
- a regular hexagon

so its a
katovenus [111]3 years ago
6 0
A.) <span>a regular hexagon inscribed in a circle

[ Same arc will be drawn six times,and at the end we'll join the corners,in the end, we get regular hexagon inscribed in a a circle ]

Hope this helps!</span>
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Two passenger train, A and B, 450 km apart, star to move toward each other at the same time and meet after 2hours.
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Let v be the speed of train A, and let's set the origin in the initial position of train A. The equations of motion are

\begin{cases}s_A(t) = vt\\s_B(t) = -\dfrac{8}{7}vt+450\end{cases}

where s_A,\ s_B are the positions of trains A and B respectively, and t is the time in hours.

The two trains meet if and only if s_A=s_B, and we know that this happens after two hours, i.e. at t=2

\begin{cases}s_A(2) = 2v\\s_B(2) = -\dfrac{16}{7}v+450\end{cases}\implies 2v = -\dfrac{16}{7}v+450

Solving this equation for v we have

2v = -\dfrac{16}{7}v+450 \iff \dfrac{30}{7}v=450 \iff v=\dfrac{450\cdot 7}{30} = 105

So, train A is travelling at 105 km/h. This implies that train B travels at

105\cdot \dfrac{8}{7} = 15\cdot 8=120 \text{ km/h}

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