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Write √ 45 in the form a √ 5, where a is an integer.

You can separate any surd into factors of the number that is being square rooted, for example when you have a surd such as √ 12 it can be rewritten as √ 2 X √ 6 or √ 3 X √ 4. This is very useful when we w...

Answered by Aaron G. • Maths tutor

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If the hypotenuse of a triangle is 7cm and another side is 4cm, what's the length of the other side? How can I work this out?

The phenomenon you're describing is called 'Pythagoras theorem'. Let's go through it together. You have a right angled triangle, with the hypothesis and one side given. The pythagoras theorem gives you a ...

Answered by Najmeh K. • Maths tutor

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A square has sides of length x cm. The length of a rectangle is equal to the perimeter of this square. The perimeter of this rectangle is 14x cm. Find an expression for the width of this rectangle. Give your answer in terms of x.

l(s) = xl(r) = 4xp(r) = 14xP(r) = 8x + 2w = 14xw = 3x

Answered by Massimiliano Z. • Maths tutor

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Minnie and Helen are playing in the same hockey match. The probability of Minnie scoring a goal is 0.3. The probability of Helen scoring a goal is 0.4. What is the probability of both Minnie and Helen scoring a goal.

The probability of two events happening is equal to the probability of event 1 times the probability of event 2. Therefore, the probability of both Minnie and Helen scoring a goal is equal to the probabil...

Answered by Minnie A. • Maths tutor

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How do I find the volume of a sphere?

The equation for the volume of a sphere is:v = 4/3 x pi x r^3
from this we can see the information we need to find out is the radius of sphere.
in this example the radius is 2cm. therefore, the...

Answered by Luke C. • Maths tutor

3264 Views