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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

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Answered by Amelie M. Maths tutor
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How is a nerve impulse transmitted across a cholinergic synapse?

Action potential reaches pre-synaptic knob.This stimulates voltage gated Ca2+ channels to open and Ca2+ to diffuse in.This causes vesicles containing ACh to bind to the pre-synaptic membrane and release A...

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Answered by Amelie M. Biology 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...

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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

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Answered by Mehdi A. Maths tutor
2142 Views

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

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Answered by Mehdi A. Maths tutor
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