There is a right angled triangle with sides of 5cm, 12cm and 13cm. What is the size of the smallest angle?

By the sine rule, sin-1(5/13)=22.6 degrees.Equally, by the cos-1(12/13)=tan1(5/12)=22.6 degrees.

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Answered by Akane O. Maths tutor

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There are n sweets in a bag. 6 are Orange, the rest are Yellow. Hannah takes a sweet out of the bag, and eats it, she does this twice. The Probability of Hannah eating two orange sweets is 1/3. Show that n^2 - n - 90 =0, and solve to find the value of n.


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There are n sweets in a bag, 6 of which are orange. If the probablility of eating 2 orange sweets from the bag, one after the other, is 1/3, show that n^2 - n - 90 = 0. State any assumptions made.


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