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'Personal ambition was more important than revolutionary principles in Napoleon's consolidation of power in the years 1799 to 1804.' Assess the validity of this view.

The view that Napoleon's consolidation was more influenced by personal ambition than revolutionary principles is largely valid. Whilst Napoleon did continue to implement the principles of 'liberty, equali...

Answered by • History tutor

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n is an integer such that 6-3n>18 and (-5n)/(n^2-6)>1. Find all the possible values of n.

First we solve 6-3n>18. We do this by rearranging:Carry over the -3n term for 6>18+3n.Take away 18 from both sides for -12>3n.Divide both sides by 3 for -4>n.So we know that n<-4. Now we so...

Answered by Daniel C. • Maths tutor

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A rectangle has an area of 20 cm2. Its lengths are enlarged by a factor of 3. What is the area of the new rectangle?

Length scale factor (l.s.f) = 3
Area scale factor (a.s.f.) = 3² = 9
New area = original area x (a.s.f.) = 20 x 9 = 180 cm²

Answered by Paulina B. • Maths tutor

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Solve the following simultaneous equations: 3x + y = 11, 2x + y = 8

first: look at the 2 equations and see if there are any matching coefficients. eg the same number before x or y in both of the equations. in these examples both y values have the coefficient 1. second: ei...

Answered by Rebecca S. • Maths tutor

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How do I know whether to use sin, cos, or tan in trigonometry?

Label the sides of your triangleHypotenuse is the longest (opposite right angle)Opposite is opposite the given angleAdjacent is next to the given angleTwo are useful, one is irrelevant. Cross out the one ...

Answered by Charlie H. • Maths tutor

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