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Find the length of a side of the triangle (Pythagoras' Theorem) Two sides are of length 3cm and 4cm, find the length of the Hypotenuse.

a²= 3²= 9, b²= 4²= 16, a²+ b² = 3² + 4² = 25, c² = 25, c = 5

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Mike paid a total of £4.69 for a chocolate bar, a bag of crisps and a jar of jam. The jar of jam costs £2.19. The chocolate bar costs 57 pence. How much did the bag of crisps cost?

There are two methods of solving this question. First let's look at the prices we already know. The jar of jam is £2.19, or else said 2 pounds and 19 pence. The chocolate bar is 57 pence, so not a whole p...

Answered by Daniela Z. • Maths tutor

2652 Views

Find tan(A-B) sec^2(A) - 2tan(A) = 16 && sin(B)sec^2(B) = 64cos(B)cosec^2(B)

@tan(A) = 5, tan(B) =4, tan(A - B) = 1/21

@tan(A) = -3, tan(B) = 4, tan(A - B) = 7/11

I can demonstrate how the answers can be obtained during the session.

Answered by Fedor S. • Maths tutor

3692 Views

There are 892 litres of oil in Mr Aston’s oil tank. He uses 18.7 litres of oil each day. Estimate the number of days it will take him to use all the oil in the tank.

Estimate, so: 900 litres, and 20 litres per day. 900/20 = 45 However, any estimation that results in an answer between 44-56 is acceptable.

Answered by Christopher L. • Maths tutor

9928 Views

Rearrange "(6y-30)/5 = 2x+(12/5)" so it reads "y = ... ". Sketch this line and label where it meets the axes.

multiply everything by 5, so you get 6y - 30 = 10x + 12 - add 30 to both sides, so you get 6y = 10x + 42 - divide everything by 6, so you have y = (10/6)x + (42/6) - simplify, y= (5/3)x + 7 - this i...

Answered by Tegan H. • Maths tutor

3462 Views