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1) Khrushchev ordered the invasion of Hungary, using 200,000 Soviet troops and 6000 tanks.

2. Imre Nagy was replaced by Janos Kadar, however Nagy was executed despite promise of safe p...

y=k/x²

yx²=k  

1*10²=k

k=100

x=1 y=100

x=2 y=25

x=5 y=4

x=10 y=1

We first want to get every term in terms of the same variable, namely sin(x). to do so, we will use the identity sin^2(x) +cos^2(x) = 1 to get: 4(1-sin^2(x)) -15sin(x) -13 = 0. which we can then rewrite a...

You would first multiply the expression by (3-root(5))/(3-root(5) - which equals 1 - to get (6-2root(5))/14 which then equals 3/7 - (1/7)*root(5) and you are done.

This is a question I commonly use when giving interview practise for potential Oxbridge students. A question like this doesn't have to have a corrrect answer necessarily, but should evoke a discussion and...