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Firstly based on the Pythagoras Theorem which claims that the square of the hypotenuse is equal to the sum of the squares of the other two sides, we will find the hypotenuse of the first triangle. To make...

16.7% or 1/6.The combinations for (dice 1, dice 2) which total 7 are: (6,1), (5,2), (4,3), (3,4), (2,5), (1,6).Total possible cocmbinations = 36.Hence 6/36=1/6=0.166... or 16.7%

This question is an example of expanding algeba and equating coefficients. If the brackets on the left-hand side are expanded the unknown values can be found from the coefficients on the right-hand side.S...

(simple algebraic substitution equations)
assign each an algebraic term to form equations > footballs = f, tennis balls = tequation 1 > 5f + 3t = £2.30equation 2 > 4f + 2t = £1.80
(you ...

The denominator in this equation is irrational. This can be seen by the fact that we have a surd (root 3) present, which cannot be expressed as a fraction as is therefore not rational.
In order to r...