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An isosceles triangle ABC has a perimeter of 16cm. AB = x+3, AC = x+4. Calculate the area of ABC.

Find x.2(x+3) + x+4 = 163x + 10 = 16x = 2So: AB = 5cm, BC = 5cm, AC = 6cmThen use '0.5 x base x height' to find area.Base = 6Height use Pythagoras: 5^2 - 3^2 = x^225 - 9 = 16x = 40.5 x 6 x 4 = 12cm^2

Answered by Amelie M. • Maths tutor

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Integrate the natural logarithm of x (ln x) with respect to x

In order to integrate ln x you have to use integration by parts, even though it appears there is only one term to be integrated. We get around this by instead writing it as (ln x)(1), where we treat the 1...

Answered by Archie D. • Maths tutor

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How many thirds are there in 9?

multiple choice question.answer: 27taken from CGP Sample 11+ Assessment Test

Answered by Mehdi A. • Maths tutor

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Solve the following equations showing your method clearly. 3(2x + 9) − 7x = 4(x + 3)

3(2x + 9) − 7x = 4(x + 3)so 6x + 27 -7x = 4x + 12so 27 - 12 = 5xso 15 = 5xso x=5taken from The Haberdashers' Aske's Boys’ SchoolElstree, Herts 13+ Entrance Examination 2016

Answered by Mehdi A. • Maths tutor

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