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A cylinder of base radius 2x and height 3x has the same volume as a cone of base radius 3x and height h. Find h in terms of x.

The equation for the volume of a cylinder is (1/2)pi(r2)*H, where r is the radius and H is the height of the cylinder. For the cylinder given, the volume is therefore (1/2)pi(...

Answered by Georgie F. Maths tutor
6100 Views

Solve the following simultaneous equations: 6a + b = 16; 5a - 2b = 19

There are 2 methods in solving this set of equations, in order to find the 2 unknowns: (a) and (b). Method 1: Firstly rearrange equation 1 to make (b) the subject: b = 16 - 6a. This can then be substitute...

Answered by Doroti C. Maths tutor
3207 Views

If f(x)=x^2 and g(x)=5x-11, then what is fgg(x) when x=3?

g(3)=5(3)-11=15-11=4gg(3)=g(4)=5(4)-11= 20-11=9fgg(3)=f(9)=92=81fgg(3...

Answered by Simon M. Maths tutor
3607 Views

Solve the simultaneous equations. (1) 2x + y = 18 (2)x − y = 6

In these simultaneous equations, there are two unknowns. The first is x, the second is y. The aim of a question like this is to find what x and y are equal too. A method to doing this is to rewrite one eq...

Answered by Samantha W. Maths tutor
4325 Views

If a rectangle has length (x-4), width (x-5) and area 12 then what is the value of x?

length x width = area (as rectangle)(x-4)(x-5)=12x2-9x+20=12x2

Answered by Simon M. Maths tutor
3069 Views

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