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Arrange the following decimals in order of size: 0.45, 1.09, 0.3, 0.08

There are 5 steps you can follow to make this sort of problem easier to handle: 1) Line up all of the values in a column with the decimal points under each other 2) Ensure each value is the same length by fi...
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Answered by Aneesh S. • Maths tutor
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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
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Using Trigonometric Identities prove that [(tan^2x)(cosecx)]/sinx=sec^2x

You should begin by identifying all the Trigonometric Identities that may be useful in this problem. Specifically, cosecx=1/sinx tanx=sinx/cosx 1/cosx=secx and possibly tan^2x + 1= sec^2x. I began by changin...
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Answered by Mary B. • Maths tutor
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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...
AS
Answered by Aneesh S. • Maths tutor
24375 Views

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
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