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Maths
GCSE

Calculate the area of a sector which has an acute angle of 30 degrees and a radius of 5cm.

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

PH
3238 Views

P (–1, 4) is a point on a circle, centre O which is at the origin. Work out the equation of the tangent to the circle at P. Give your answer in the form y = mx + c

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...

CG
Answered by Charlie G. Maths tutor
9322 Views

n is an integer greater than 1. Prove algebraically that n^2-2-(n-2)^2 is always an even number

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)...

JC
Answered by Jacob C. Maths tutor
24875 Views

Nancy is driving and makes a wrong turn. The satnav indicates that her journey will take an extra 7 minutes. Nancy drives at an average speed of 60km/h to the nearest 5km/h. What's the greatest possible distance traveled in this detour in km to 2.d.p?

Start by selecting useful information in the text.time = 7 minutesspeed = 60km/h to the nearest 5km/hmaximum possible distance travelled = ? kmWe know a time and speed and want to know a distance. So we c...

LG
Answered by Louis G. Maths tutor
2753 Views

Solve 7x+6>1+2x

For this such question, we need to find what values x can be. We need to get all the terms containing x one side of the equation and all the other terms on the other side then isolate x. To do this, we mu...

AM
Answered by Annie M. Maths tutor
5694 Views

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