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We have a parallelogram with sides of 8cm and 5cm and an angle of 140 degrees, calculate the length of two diagonals

We would first like to work out the size of all the angles which have not been give, as one angle is 140 degrees we know the angle opposite to it is also 140 degrees due to the symetry of the shape. The t...

Answered by Thomas O. • Maths tutor

3063 Views

If one shop has melons for sale on a buy one get one free offer at £2 a melon with each melon weighing 2kg, and a second shop offering melons at 30p per kilogram. Which shop is the best value for money?

Firstly you would analyse the cost of the melons in the first shop per kg. So you could buy 2 melons for £2 because they're buy one get one free and each weighs 2kg so therefore you're getting 4kg of melo...

Answered by Faye B. • Maths tutor

2894 Views

A curve has equation y= e^x -5x, Find the coordinates of the stationary point and show it is a minimum point

differentiating e^x gives e^x (need to know this), differentiating -5x gives -5 (step the power of the x down by 1 and multiply the original power with the coefficient, power of the x ...

Answered by James C. • Maths tutor

8157 Views

write log2(5) +log2(3) in its simplest form

This is an exapmle of the addition rule as part of the logorithm syllabus.

The general rule is log_ab + log_ac = log_a(b*c)

When the base of the logarithm is t...

Answered by Nicole P. • Maths tutor

10826 Views

Simplify 3(x-5)/x^2-3x-10

The question is asking us to simplify; in particular, we have to simplify a fraction. We simplify a fraction by cancelling a factor from both the numerator and the denominator. We can apply this algebraic...

Answered by Nathan B. • Maths tutor

4763 Views