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What was ‘Manifest Destiny’?

'Manifest Destiny' was the American ideology of the 18th century that held the belief that Amricans were destined to settle and claim the land to the west as part of American expansionism. It was the idea th...
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Answered by Danielle S. • History tutor
5567 Views

Express 3 cos θ + 4 sin θ in the form R cos(θ – α), where R and α are constants, R > 0 and 0 < α < 90°.

To find the value of R, use Pythagoras's Theorem using the coeffecients of cos θ and sin θ. The correct answer should be R=5. Expand the expression R cos(θ – α). Equate the expanded expression with 3 cos θ +...
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Answered by Anahita G. • Maths tutor
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The cost of 5 calculators is £35. Work out the cost of 8 of these calculators.

If the cost of 5 calculators is equal to £35, then we can use division to figure out how much one calculator costs. If we divide 35 by 5 we get the number 7. This means that one of the calculators is going t...
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Answered by Danielle S. • Maths tutor
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Define the term Humanism and identify (artist, title, date/location if appropriate) one work which has been affected by this idea.

Humanism in the Renaissance meant the revival of secular art forms and ideologies that exalted the Classical period as the height of intellectual thought and art forms. It was an ideology that was held by Re...
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What are surds and how does multiplying them work?

A surd is an irrational number which cannot be expressed as a fraction or a recurring number. E.g. root 2 = 1.4142135…. and it continues (but it does NOT repeat like a recurring fraction though) . E.g. pi wo...
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Answered by Febi S. • Maths tutor
9722 Views