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Work out the ratio between the surface area of sphere of radius 6cm and the total surface area of a hemisphere of radius 9cm.

Here you need to use two formulae; one for the surface area of a sphere (4πr2) and one for the area of a circle (πr2).

First the surface area of the 6cm radius spher...

LP
Answered by Liam P. Maths tutor
14274 Views

Solve the quadratic equation: 5x2+8x+2

Here you need to use the quadratic formula, it cannot be solved by expanding out the brackets. In the formulae for which can be found on the formulae sheet. In this case a=5, b=8 and c=2.

LP
Answered by Liam P. Maths tutor
4785 Views

Solve 5x-6=3x+7

The key point to remember when dealing with an algebra equation is that whatever operation you carry out on one side of the equation, you MUST do to the other side as well.

To solve this ...

KB
Answered by Kyle B. Maths tutor
14745 Views

Differentiate the equation y = x^2 + 3x + 1 with respect to x.

A simple way to differentiate an equation with respect to x is to reduce each x components power by one and multiply each x component by their original power.

Looking at the equation y = ...

JB
Answered by Jake B. Maths tutor
5177 Views

Solve equations 2x+y=9 and x+2y=6 to find x and y.

First of all we need to rearrange the equations in a way which allows us to get rid of either the x or y variable.

To do this we need to have either the same number of x's or same number ...

JB
Answered by Jake B. Maths tutor
14280 Views

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