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First of all we need to find a common denominator. This is the smallest number that can be divided by both 5 and 8, which is 40.

24/40 + 35/40

Method: 5 goes into forty 8 times and so we mus...

x/4 = cos(50^o) x = 4cos(50^o) x = 2.6cm (1dp)

This question can be solved by many methods but the elimination method is the fastest one in this case.  The unknown that will be eliminated is y. Equation 1 is multiplied by 2 to give 4x+6y=8. Since I ha...

Expand brackets on both sides:  4m − 8 = 5mt + 3t

Collect all terms containing 'm' to one side of the equation: 4m − 5mt = 8 + 3t

Factorise the terms containing 'm': m (4 − 5t) = 8 + 3t

We have a right angle triangle in this problem. We can use Pythagoras' theorem - the square of the hypotenuse is equal to the sum of the squares of the other two sides of the right angle triangle...