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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)).

a2 + b2 = c2    (Pythagoras' Theorem) 

a2 + (3 + 2√(3))(3 + 2√(3)) = (6 + √(3))(6 + √(3))    (Expanding brackets)

a2 + 9 + 6√(3) + 6√(3...

RA
Answered by Rebecca A. Maths tutor
3557 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...

BW
Answered by Barnaby W. Maths tutor
3779 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 = x2 - x - 2

0 = x2 - x - 30

0 = (x-6)(x+5)   x=6 x=-5

SW
Answered by Sophie W. Maths tutor
14538 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 ...

EM
Answered by Emily M. Maths tutor
2752 Views

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

Answer:

8x2+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...

MH
Answered by Matilda H. Maths tutor
3216 Views

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