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A pen is the shape of an equilateral triangle. A goat is attached to a corner of the pen on a rope. The goat eats all the grass it can reach. It can just reach the opposite fence of the pen. What percentage of the grass in the pen does the goat eat?

Step 1: Area of the penA triangle’s area is base * height / 2. Let one side (the base) have length x. By splitting the triangle in half and using Pythagoras’s rule, we get x² = (x/2)^...

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How do I solve inequalities when they're not linear?

Ok, let's talk about quadratic inequalities in particular. Look at the inequality x^2 - 8x + 15 > 0.What does a solution to this mean? It means the curve x^2 - 8x + 15 > 0 is above the x-axis at thi...

Answered by Damon F. • Maths tutor

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Solve the simultaneous equation: (16^x)/(8^y)=1/4 and (4^x)(2^y)=16

This solution requires you to use your knowledge of power extensively. The final must be shown with a lot of working out, the solution is x=1 and y=2.

Answered by SYED A. • Maths tutor

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