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What is the probability that a leap year has 53 Sundays?

This is pretty straight forward. There are 366 days in a leap year, i.e, 1 more than a normal year. Now, 52 weeks make up 344 days (52 x 7 = 344) That means that we already have 52 sundays for sure. Then, we...
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Answered by Yatharth R. • Maths tutor
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How do I find the area of a circle C with diameter 14cm?

The formula for the area of a circle is π r 2 . To use this formula we first need to find r, the radius of the circle. The radius is the distance from the centre of the circle to the edge, and is equal to ha...
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Answered by Tamsyn H. • Maths tutor
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There are 7 white socks and 4 black socks in a drawer. Two socks are taken out at random without replacement. Work out the probability that the two socks are the same colour

The probability of pulling out two socks of the same colour is n/m*(n-1)/(m-1) where n is the initial number of that type of sock and m is the total number of socks in the drawer. The reason that we take 1 a...
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Answered by James B. • Maths tutor
13568 Views

How do you solve 3sin2AtanA=2 for 0<A<180?

The first step in solving any trigonometric equation is to convert everything into sine and cosine functions. So in this case we need to start by converting the tanA. We can use the identity: tanA=sinA/cosA ...
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Answered by Sarah W. • Maths tutor
6372 Views

A circle has a radius of 4cm. An isosceles triangle has a base of 8 cm and a height of 12 cm. Which shape has the greatest area?

When reading a question try to pick out the important information, and don't get thrown off with unnecessary words like isosceles. A circle has a radius of 4cm . An isosceles triangle has a base of 8 cm and ...
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Answered by Emma A. • Maths tutor
4799 Views