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We are given ratios of side lengths and the total perimeter. The perimeter of the triangle is simply the sum of the side lengths. Imagine that the sides are made up of "units": 3 times a unit + ...
First, you need to make sure that each equation has a common denominator. You do this by multiplying the numerators of each equation with the denominators of the others. This allows you to form one algebr...
Let's prepare a diagram with the Sun on the right, Moon in the middle and Earth on the left. Their centres are collinear. Moreover, draw right angled triangles such that the right angle opens from the cen...
Drop the ball from a given height that is measured with the ruler and measure the time it takes for it to reach the ground using the stopwatch. Use the appropriate SUVAT equation of motion: we have a heig...
Multiply equation 1) by 2 : 12a+2b=32. There are alternate signs of b and so therefore add the equations together: 17a=51. Solve for a: a=3. Sub a into one of the equations to find b: 5*3-2b=19b=-2. The f...
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