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a) Find the area of a semi circle with diameter 12cm. b) The area of a semi-circle is 60cm^2. Find the radius of the sem-circle.

a) radius = 12/2 = 6cm. Area of a circle = pi x r^2 = 36pi. Area of semi-circle = 36pi / 2 = 18pi cm^2b) Area of full circle = 120. pi x r^2 = 120. r^2 = 120/pi. r = sqr root (120/pi)= 6.18cm
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Answered by Ahmed G. • Maths tutor
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Simplify 5p + 2q – 3p – 3q

Firstly, look at the number in front of the letter 'p'. This is 5p and -3p. By ignoring the 'p', as they both have it, do 5-3 which is 2 and so that part of the answer will be 2p. Then look at the letter 'q'...
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Answered by Radhika A. • Maths tutor
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Matthew gets £100 for his 16th birthday and chooses to invest the money into a bank with a 2% annual interest rate. By which birthday will Matthew have more than £150 in his account?

This a geometric sequence with first term 'a' as 100 and common ratio 'r' of 1.02. 100 x 1.02 n > 150 1.02 n > 150/100 =1.02 n > 1.5 log 10 (1.02 n ) > log 10 (1.5) Using power rule, n[log 10 (1....
Answered by • Maths tutor
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What is the length of a if a triangle has lengths of b=6.4cm and c=5.6cm with an angle A=107.9 degrees?

We are going to have to use the cosine rule for this type of question. The cosine rule is a2=b2+c2 - 2bcCosATherefore a2= (6.4 6.4) + (5.6 5.6) - (2 6.4 5.6)*Cos107.9 If we plug this into our calculator we w...
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Answered by Maria K. • Maths tutor
3430 Views

A car is travelling with a velocity of "0.5t^2+t+2" m/s at t=0 (where t is in seconds), find the acceleration of the car at a) t=0 b)t=2

Acceleration can be described as the ' rate of change of velocity ' as it is simply how quickly the car is increasing/decreasing in velocity. Therefore as the velocity is described as an expression of t - ti...
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Answered by Dominic E. • Maths tutor
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