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Maths
GCSE

Find a quarter of the area of a circle with a diameter of 10cm.

To find a part of the area we need the whole area first.
Find the formula for the area of a circle: A= pi x r2
We have been given the diameter so we need to work out what the radius ...

Answered by Joseph S. Maths tutor
4152 Views

the first four terms in a sequence are 2, 6, 10, 14. what is the nth term? and what is the sum to n terms of the sequence?

the nth term formula is the sum of the first term (a) and the second to last term (n-1) * the common difference (d). so a + (n-1)d where a = 2 and d = 4 in this case is 2 + (n-1)4 = 4n - 2. the sum to...

Answered by Jake L. Maths tutor
15021 Views

What is the next number in this sequence? 10, 13, 20, 31, 46, ...

Analyse the sequence to find the second order difference.10 13 20 31 46 75 3 7 11 15 19 4 4 4 4

Answered by Frank D. Maths tutor
5009 Views

Given that y = 5, solve the following equation for x, 9x - 3y = 97 - 5x

Subsitute y for 5 to give 9x - (3 * 5) = 97 - 5xCalculate the brackets 9x - 15 = 97 - 5xAdd 15 to both sides 9x = 112 - 5xAdd 5x to both sides 14x = 112Divide both sides by 14 x = 8

Answered by Frank D. Maths tutor
2790 Views

Solve for x, 4x+3.5 = 1

First, you regroup all numbers which are not factors of x on one side of the equation:
4x = 1 - 3.5
so 4x = - 2.5
Then, you isolate x:
x = - 2.5/4
x = - 5/8 = - 0.625

Answered by Jade S. Maths tutor
2473 Views

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