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ABC are points on a circle, centre O. AO=9cm, OC=9cm and AC=15cm. Find the angle ABC.

Diagrams would be used to help visualise the answer. To find the angle OAC, the cosine rule needs to be used: cosA = (b 2 + c 2 - a 2 )/2bc. Therefore, looking at the diagram, (15 2 + 9 2 - 9 2 )/2x15x9 = co...
IP
Answered by Imogen P. • Maths tutor
4430 Views

What is market failure?

-definition =>complete, market not supply at all=missing markets and partial=>wrong quantity or price -example with diagram -explanation
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Answered by Yasmin A. • Economics tutor
2129 Views

Calculate the integral of (3x+3)/(2x^2+3x) between the limits 39 and 3

The first step is to split the fraction into 2 separate fractions using partial fractions techniques. Write 3x+3/2x^2+3x as A/x + B/2x+3 and solve to get A = 1, B = 1. We have now converted 3x+3/2x^2+3x into...
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Answered by Oliver W. • Maths tutor
3486 Views

Where do the graphs of y=3x-2 and y=x^2+4x-8 meet?

In order to find the points where these functions meet, we can equate them to get 3x-2 = x^2+4x-8 . Subtraction (3x-2) from both sides, we get x^2+x-6 =0 which we can factorise to get (x+3)(x-2)=0 Therefore ...
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Answered by Helen S. • Maths tutor
4017 Views

How do I use context in an English Literature essay?

For English Literature exams and coursework, some exam boards may include incorporation of context in their marking criteria. This is certainly the case at A Level, and perhaps to a lesser extent at GCSE. Co...
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