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To begin with we need to understand what a percentage is. It is simply a proportional that shows a number as parts of a hundred. So 30% is the same as saying 30/100 which can be simplified by dividing the...

We know the area of any triangle is equal to 0.5abSin(C). This means we need to find the length of side b and the angle C.First we can work out the angle C of the triangle as we know the angles in a trian...

1. Replace y with x + 3. x^2 + 2(x+3) = 9
   2) Expand the bracket, and subtract 9. x^2 + 2x - 3 = 0
   3) Factorise the quadratic(x - 1)(x + 3) = 0
   4) Therefore, x has 2 solutions. x = 1 and ...

The equation of a straight line takes the form of y=mx+c where m is the gradient of the line and c is the y-intercept (where the line crosses the y-axis). The best way to start this question is to draw a ...

1. use the cosine rule to get angle A; cos(A) = (b² + c² - a²)/2bc2) Use '1/2 x a b x sin(C)' to get the area of the triangleNote: the side 'a' is the one opposite angl...