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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.

a 2 = 3 2 = 9, b 2 = 4 2 = 16, a 2 + b 2 = 3 2 + 4 2 = 25, c 2 = 25, c = 5
AD
Answered by Andrew D. • Maths tutor
3384 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.
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Answered by Christopher L. • Maths tutor
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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 is of the ...
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Answered by Tegan H. • Maths tutor
3582 Views

Solve 14-x = 4(1+x)

First of all we want to expand the brackets out. We do this by mulitplying 4 by each number in the bracket. This then gives us 14-x = 4+4x. We then want to get all the x's on one side and the numbers on the ...
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Answered by Francis S. • Maths tutor
3402 Views

Expand the quadratic equation and simplify: (3a+4)(a-1)

To expand brackets you should multiply each term with every other term. Here it would be: 3a 2 -3a+4a-4 Collecting the a terms, this simplifies to: 3a 2 +a-4.
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Answered by Ran D. • Maths tutor
4644 Views