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The distance from the Earth to the Sun is 93 million miles. Assume: it takes 365 days for the Earth to travel once around the Sun and the Earth travels in a circle with the Sun at the centre. Work out the average speed of the Earth in miles per hour.

This question is testing your understanding of speed, distance and time and sounds much more complicated than it actually is. For a question like this one, it is best to draw a picture to help you get a b...

Answered by Jack H. • Maths tutor

19334 Views

Perhaps an introduction to integration with a simple integral, e.g. the integral of x^2

I would first write out the integral with correct notation, explaining to my tutee exactly what I am drawing and why. I will then explain the 'n+1' rule for integrating simple powers. I will go through th...

Answered by Reece C. • Maths tutor

3011 Views

Solve the following, (3/4 + 2/5)^2

Firstly, get both fractions to the same demonimator 3/4 X 5/5 = 15/20. 2/5 X 4/4 = 8/20

This makes the question become (15/20 + 8/20)²

15/20 + 8/20 = 23/20

Therefore (23...

Answered by Adam B. • Maths tutor

3163 Views

Find, in radians, the general solution of the equation cos(3x) = 0.5giving your answer in terms of pi

we have cos (3x) = 0.5 (1) we know that in the interval between [-pi; pi] there are two values that satify the equation cos(y) = 0.5 (2) the two solutions are y=pi/3 and y=-pi/3 in this interval. Mor...

Answered by Marie B. • Maths tutor

6575 Views

(GCSE) A rectangle has the following characteristics: its length is (2x + 5), its width is (3x - 2). The perimeter of the rectangle is 46 cm. What is the value of x?

First of all draw the rectangle, name its sides and annotate its characteristics.
Define the data you have and what you are looking for.
Write down the general formula for the perimeter of a r...

Answered by Giulia D. • Maths tutor

4891 Views