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Using Pythagoras Theorem find the length of the hypotenuse of a right triangle where a=7 cm and b=11 cm. Round to the nearest tenth

Pythagos Theorem states that a^2 + b^2 = c^2 So using the figures we are given the equation would look like this: 7^2 + 11^2 = c^2 We square the numbers we can and then get: 49 + 121 = c^2 We add the left ha...
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Answered by Mary B. • Maths tutor
5990 Views

A cylindrical beaker has a height of 16 cm and a diameter at its bottom of 10 cm. What is its volume? Give your answer to 2 decimal places.

As the beaker is a cylinder, we know the formula of its volume is (pi x (radius) 2 ) x height. Since the radius = 1/2 diameter and the diameter = 10 cm, the radius = 5 cm. We know the height is 16 cm. So the...
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Answered by Aneesh S. • Maths tutor
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Find the exact value of the gradient of the curve y=e^(2-x)ln(3x-2) at the point on the curve where x=2.

This is a typical gradient question for A2 papers, as it requires use of the Product Rule and Chain Rule, as well as knowledge of e^x. Firstly, we can see that we will need to use the Product Rule as e^2-x a...
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Answered by Sophie K. • Maths tutor
10887 Views

Explain how to solve simulatentous equations.

A simultaneous equation is an equation with 2 unknowns( X and Y). You will have 2 seperate equations. By adding or subtracting the 2 equations, eliminate one of the unknowns(X0). You are now left with one un...
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Answered by Parth P. • Maths tutor
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How do you change the subject of the formula?

​All that changing the subject of the formula means is basically getting a letter on its own on one side of the equation. To begin, let's take a relatively simple example. Make x the subject of the formula: ...
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Answered by Robbie T. • Maths tutor
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