A boat travels 210 km in 7 hours (with a constant speed). How far can it travel in 8 hours (with the same speed)?

Mathematics

1 answer:

Grace [21]2 years ago

7 0

The boat would travel 240 km in 8 hours

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nevsk [136]

F is proportional to 1/x^2
distance = x
A reduction of 25 percent = 0.75x
Let’s put this in place of x
F = 1/(0.75x)^2
And simplify
F = 1/0.5625x^2

So you need to find the percentage increase from 1/x^2 to 1/0.5625x^2

So what does 1/x^2 multiply by to give 1/0.5625x^2

Written as an equation it is y/x^2 = 1/0.5625x^2
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Well you can start by drawing a triangle with the information

the size of angle B can be found using the Law of Sine

$\frac{sin(150)}{9.4)} = \frac{sin(B)}{4.8}$

the size of angle C can be found using angle sum of a triangle.

The length of side c can be found using the Law of Cosines

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1. Write 33% as a fraction.

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Answer:

33/100