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Let x = 0.8181818181...
100x = 81.81818181...100x - x = 81.81818181... - 0.8181818181(100 - 1)x = 8199x = 81x = 81/99x = 9/11

Formulas needed: Perimeter of rectangle = 2*(base + height) Area of rectangle = base * height. Using the information given we need to define the perimeter of A and B algebraically. Rectangle A: base = 2x...

When working with circles we use which is a number that stays the same no matter how big the circle. The number starts with 3.1415.... and goes on forever, this number is programmed into the calculator, ...

The first step is to realise that a trivial solution of x is x = 0, which can be determined from the '4x' denominator. Now zooming in on the numerator and expanding gives us '3x^2 - 18 - 81'. Looking at t...

Mathematics is a language that is predominantly used in the fields of science; it is the study of patterns, puzzles and number theory which is then applied to real life situations such as mechanics, decis...