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ohshushan2
15.03.2022 •
Mathematics
£1 = €1.45
If a graph was plotted on the axes below to
show the relationship between pounds and
euros the points (0, a) and (1.5) would
be on the line
Work out the values of a and b
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Ответ:
D=distance
VS=velocity through steel
VA=velocity through air
ts=time through steel
ta=time through air
Let's just get some equations out there:
D=VS*ts=16500*ts
D=VA*ta=1100*ta
ta=ts+6 (you can reason that it will take longer through air because the speed is slower)
So, D=16500*ts=1100*ta=D so 16500*ts=1100*ta. Substituting ts+6 in for ta we get 16500*ts=1100*(ts+6), so 16500*ts=1100*ts+6600. Subtracting 1100*ts from both sides, we get 15400*ts=6600, so ts=6600/15400=3/7 seconds. So, to find the distance, we need only plug this time back into the equation D=16500*ts=16500*3/7=7071.43 feet.