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In triangle XYZ: XZ = 10 cm; YZ = 8 cm; cos Z = 1/8. Calculate the length of XY.

We can use the cosine rule to determine the lenght of XY.
XY²= 10²+8²-2108cos ZXY² = 100+64-180(1/8) = 144XY = 12

Answered by Vencel H. • Maths tutor

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Factorise this equation and then solve for x) 2x^2 - 3x-2

Do 2x -2 = -4List these factors Choose two of those factors which equal to -3x, in this case 1 and -4 (or the other way around)Rewrite the equation as 2x²+ x - 4x -2, then factorise this in tw...

Answered by Ellen C. • Maths tutor

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Solve x^2-6x+8=0

To solve this equation we must first factorise it. To do this we initially write two brackets containing x equal to zero like this (x )(x )=0.Then we want to identify the other part of our bracket. Th...

Answered by William S. • Maths tutor

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A trader buys 6 watches at £25 each. He scratches one of them, so he sells that one for £11. He sells the other 5 for £38 each. Find his profit as a percentage.

Percentage profit = (profit/original )x 100

To find the profit; £38x5+11 - (6x£25) = £51

Percentage profit = (£51/6x25)x100 = 34%

Answered by Idris N. • Maths tutor

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Simplify the fraction 54x^(6)y^(13)/6x^(3)y^(9).

We can treat the numbers (coefficients) 54/6 as one separate fraction to be multiplied by what we get when we've simplified the x's and y's. So first we do 54/6 to get 9, which we'll multiply the rest of ...

Answered by Leo K. • Maths tutor

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