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A rectangle has sides of length 4x cm and (x+3)cm and has an area less than 112 cm^2, find the set of values x can take

Derive an inequality for the area. 1) As area = width * length then area is 4x * (x+3). 2) Area is less than ( < ) 112 so inequality is 4x* (x+3) < 112. 3) Expan...

Answered by Harry T. • Maths tutor

3245 Views

How can I work out the area of a semi-circle with a diameter of 12cm?

For this question we need to remember that the equation to calculate the area of a circle is pi times the radius squared. The radius of a circle is half it's diameter, therefore the radius of the semi-cir...

Answered by Cosima R. • Maths tutor

8838 Views

A group of 5 people order 2 8 inch pizzas, with heights 2cm and 1cm, and density 3/pi g/cm^3, and 5/pi g/cm^3 respectively. If they divide each pizza evenly, how much pizza, in grams, does each person eat? Use 1 inch = 2.5 cm.

This is a slightly advanced GCSE question, involving multiple steps. Each step is quite simple however.First, set out the known variables. Note that the 8 inches is the pizza diameter.r = 8*2.5/2 = 20/2 =...

Answered by Ibrahim Q. • Maths tutor

2649 Views

Solve the following simultaneous equations: 3x + y = 11, 2x + y = 8

This problem can be solved by using elimination.Label 3x + y = 11 as equation (1) and 2x + y = 8 as equation (2).We first want to eliminate one of the variables so that we can then reach a value for the o...

Answered by Oscar D. • Maths tutor

4130 Views

Rationalise the denominator of the following fraction: 9/((root13)-1). Write your answer in its simplest form.

Firstly, a quick overview of rationalising the denominator. For this, we want to make sure that the bottom half of the fraction (the denominator) is rationalised (and so doesn't contain any surds any more...

Answered by Callum C. • Maths tutor

2651 Views