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What is a prime number?
This is a number which can only be divided by 1, and itself. 1 is not considered to be a prime number. The first few prime numbers are: 2, 3, 5, 7, 11, 13. An...

With a problem like this first you must pull the necessary information out of the question. It can make it more familiar if we assign single letters to the unknowns. In this case the unknowns are, Johns a...

Sector area = (angle/360) + πr²
Therefore the answer would be: Area = (30/360) + (π x 5²) = 78.62 degrees to 2dp

A tangent makes an angle of 90 degrees with the radius of a circle.Using this fact, we find the gradient of the radius going through P = -4Therefore gradient of the tangent to the circle at P is -1/-4 = 1...

We want to show that this gives an even number, so we need to get it into a form that it is 2 multiplied by some positive integer. We start by expanding the (n-2)² out, remember that (n-2)^...