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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

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Explain why Hitler was able to create a dictatorship in the period February 1933 to August 1934. You may use the following in your answer: the Reichstag Fire; the Night of the Long Knives. You must also use information of your own. (12)(Edexcel past Q)

It is important to recognise immediately that this question is asking you WHY Hitler was able to create a dictatorship. Detailing or describing important factors with no explicit l...

Answered by William B. • History tutor

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Evaluate the evidence used to reconstruct climate change

The command word is ‘evaluate’, requiring you to assess the relative importance or validity of the evidence. Therefore, your conclusion should include a judgement, for example, of the most or least import...

Answered by Emma M. • Geography tutor

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What are the main stages of the cardiac cycle?

Blood enters the atria. It cannot pass into the ventricles because the atrioventricular valves are closed. The heart is in diastole.The atria contract. The pressure in the atria becomes greater than the p...

Answered by Anshul A. • Biology 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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