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A cuboid of height 5 cm has a base of side 'a' cm. The longest diagonal of the cuboid is 'L' cm. Show that 'a' = SQRT[ (L^2 - 25)/2]

A cuboid is made of squares and rectangles, with the diagonal 'L' connecting opposite corners of the 2 square faces. As the cuboids corners are all right angles, all the diagonals form right angled triangles...
JP
Answered by Joshua P. • Maths tutor
5307 Views

How do I simplify (1 / [1 + cos(x) ] ) + (1 / [1 - cos(x) ] )?

In order to add the fractions together, we must have a common denominator of the fractions. The simplest way to do this is to make the denominators of the equations the product of the original two denomniato...
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Answered by Simon C. • Maths tutor
14914 Views

To what extent did African American lives improve due to government legislation between 1919-1955?

In this exam question I would suggest that it is split into two parts; to what extend did African American lies improve and how far was it due to government legislation. This would be a round the clock essay...
DS
Answered by Daisy S. • History tutor
3471 Views

A curve has the equation: x^4 + 2x -xy - y^3 - 10=0. Find dy/dx in terms of x and y.

We need to differentiate all values with respect to x. Therefore for the first two terms, multiply by the power and then subtract 1 from the original power. Therefore 4(x 4-1 ) + (2)(2x 2-1 ) which gives 4x ...
JG
Answered by John G. • Maths tutor
6566 Views

Energy is obtained from both aerobic and anaerobic respiration during exercise. Give three differences between aerobic and anaerobic respiration.

aerobic respiration uses oxygen for eaxaplme a relaxed human will be inhaling oxygen and their bodies using it to break down glucose in their cells. glucose + oxygen = carbon dioxide + water However anaerobi...
AG
Answered by Andrea G. • Biology tutor
7498 Views