exam Maths Puzzle Numerical Ability

The perimeter of a rectangle is to be no greater than 300 in.,
and the length must be 125 in.
Find the maximum width of the rectangle.

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exam Other Question

You are to estimate the measure of the angle created by the hour and minute hands on the clocks and classify the angle as being acute, straight, right or obtuse:

5:00 Estimate:
Angle: I am working on a Proof by Induction and keep getting bogged down in the exponents in the inductive step. Please help me simplify:

5/2[2/3(2^n - 2^(-n))] - 2/3(2^(n-1)- 2^(n-1))