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For this question we need to remember that the equation to calculate the area of a circle is pi times the radius squared. The radius of a circle is half it's diameter, therefore the radius of the semi-cir...

This is a slightly advanced GCSE question, involving multiple steps. Each step is quite simple however.First, set out the known variables. Note that the 8 inches is the pizza diameter.r = 8*2.5/2 = 20/2 =...

This problem can be solved by using elimination.Label 3x + y = 11 as equation (1) and 2x + y = 8 as equation (2).We first want to eliminate one of the variables so that we can then reach a value for the o...

Firstly, a quick overview of rationalising the denominator. For this, we want to make sure that the bottom half of the fraction (the denominator) is rationalised (and so doesn't contain any surds any more...

Multiply both sides by 5: 5x = 3r - 4Add 4 to both sides: 5x + 4 = 3rDivide both sides by 3: (5x + 4)/3 = r