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The perimeter of a right-angled triangle is 72 cm. The lengths of its sides are in the ratio 3 : 4 : 5. Work out the area of the triangle.

So, working out the different side lengths of the triangle is going to help find the area at the end. We split the ratio up into 3s and show them as a proportion of the whole perimeter. For example, one side...
RG
Answered by Roberto G. • Maths tutor
9784 Views

The curve C has the equation: 16y^3 +9x^2y-54x=0, find the x coordinates of the points on C where dy/dx = 0

C: 16y 3 + 9x 2 y -54x = 0 d/dx(16y 3 ) + d/dx(9x 2 y) + d/dx(-54x) = d/dx(0).............=>48y 2 .dy/dx + 9x 2 .dy/dx + y.18x - 54 = 0 dy/dx(48y 2 +9x 2 ) = 54 - 18xy........................................
EP
Answered by Elliot P. • Maths tutor
9055 Views

A person swims from a depth of 0.50 m to a depth of 1.70 m below the surface of the sea. density of the sea water = 1030 kg/m^3 gravitational field strength = 9.8 N/kg Calculate the increase in pressure on the swimmer. Give the Unit.

ΔP = Δh ρ g Δh = 1.7 - 0.5 = 1.2 m ρ = 1030 kg/m 3 g = 9.8 N/kg ΔP = 1.2 (m) x 1030 (kg/m 3 ) x 9.8 (N/kg) = 12,112.8 N/m 2 = 12,112.8 Pa
EP
Answered by Elliot P. • Physics tutor
8279 Views

‘Germany was treated fairly at Versailles.’ How far do you agree with this statement? Explain your answer.

In history, answers have less to do with the actual content and more to do with how essays are structured. I have therefore given the structure which I would provide to a student at GCSE level and explained ...
HJ
Answered by Henry J. • History tutor
3471 Views

How do you factorise a quadratic equation?

You should already be familiar with multiplying out brackets to arrive at a quadratic equation, which will look something like the following: (x + 2)(x + 3) = x 2 + 2x + 3x + 6 = x 2 + 5x + 6 Factorising is ...
EM
Answered by Eleanor M. • Maths tutor
3421 Views