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Maths
GCSE

Make A the subject of the following formula: S = UT + 1/2AT^2

The important thing to remember when rearranging equations is whatever you do to one side must be balanced with the other.1) So in this case, the first thing we want to do is to leave the term with A in i...

Answered by Thomas C. Maths tutor
37235 Views

A cylinder has dimensions: diameter = 4x+2 and height = 4. Work out the volume of this cylinder. Give your answer in terms of x

The volume of a cylinder = (pi).r2.hAs the diameter is given in the question, we need to halve it to get the radius --> r = (4x+2)/2 = 2x+1This means the volume of the cylinder = (pi).(2x...

Answered by Ben G. Maths tutor
2381 Views

How do I rationalise the denominator of √2+1]/√2-1?

We must choose something to multiply the numerator and denominator of the fraction by the same thing, and the best thing to choose is the difference of two squares (since (x^2-y)(x^2+y)=x^2-y^2 ).
S...

Answered by Harry J. Maths tutor
4724 Views

A cuboid has dimensions: width = x+1, length = 2x-2, height = x+2. Work out the volume of this cuboid. Give your answer in terms of x.

Volume of cuboid = width x length x heightV = (x + 1)(2x - 2)(x + 2)
For simplicity, multiply the first 2 sets of brackets first. Then multiply the result by the third set of brackets.Note: for multi...

Answered by Sam A. Maths tutor
5295 Views

2017 Edexcel Summer 2017 Q18) 16^1/5 × 2^x = 8^3/4 Work out the exact value of x

As this is a calculator paper, it is acceptable to use one. The first step to calculating the exact value of x is to make it the subject of the equation (i.e. moving it to its own side)2^x = (8^3/4)/(16^1...

Answered by Rory P. Maths tutor
16019 Views

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