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Find the exact length of side A in the triangle and give you answer in the simplest form. (It is a right angled triangle. Side C is (6+√(3)) and side B is (3 + 2√(3)).

a 2 + b 2 = c 2 (Pythagoras' Theorem) a 2 + (3 + 2√(3))(3 + 2√(3)) = (6 + √(3))(6 + √(3)) (Expanding brackets) a 2 + 9 + 6√(3) + 6√(3) + 12 = 36 + 6√(3) + 6√(3) + 3 (Multiplying and simplifying surds) a 2 + ...
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Answered by Rebecca A. • Maths tutor
4308 Views

Solve for 0 =< x =< 360 16/(cos(x+25)+1) = 10, give answers to 2 d.p.

Rearrange to get cos(x+25) = 0.6 Use inverse cosine to get (x+25) = -53.13... 53.13... 306.86... 413.13... Isolate x to get x = -78.13... 28.13... 281.86... 388.13... Apply the limits and round the answers t...
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Answered by Barnaby W. • Maths tutor
4569 Views

if f(x) = 7x-1 and g(x) = 4/(x-2), solve fg(x) = x

fg(x) = 7(4/x-2) -1 = x 28/(x-2) - 1 = x 28/(x-2) = x +1 28 = (x+1)(x-2) 28 = x 2 - x - 2 0 = x 2 - x - 30 0 = (x-6)(x+5) x=6 x=-5
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Answered by Sophie W. • Maths tutor
16394 Views

I want to buy 1 litre of milk. My options are to either buy 250ml bottles for £1 each or 500ml bottles for £1.50 each. Which is the cheapest way for me to buy 1 litre of milk?

If you were to buy 250ml bottles you would need four meaning - 250 x 4 = £1 x 4 = £4. If you were to buy 500ml bottles you would need two meaning - 500 x 2 = £1.50 x 2 = £3. Therefore it is cheaper to buy tw...
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Answered by Emily M. • Maths tutor
3952 Views

Fully expand (2x+4)(4x-3).

Answer: 8x 2 +10x-12 Explanation: It is really important that every 'term' is multiplied by every other 'term'. A 'term' doens't just refer to the number but also to the sign in front of it i.e. the terms in...
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Answered by Matilda H. • Maths tutor
4180 Views