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a) Evaluate: 21 - 12 (4-10) b) Divide 132 into the ratio 2:7:3 c) If a person is 246 months old. Express the person's
a) Evaluate: 21 - 12 (4-10) b) Divide 132 into the ratio 2:7:3 c) If a person is 246 months old. Express the person's age in years as a mixed number. d) Given that the speed of light in a vacuum is 3.0 108 m/s and the speed of light in crown glass is 2.1 x 108 m/s i) Express the speed of light in a vacuum to the speed of light in crown glass as a simplified ratio. ii) What percentage of the speed of light in a vacuum does light travel in crown glass? e) Find the unknown side lengths in the following triangles (i) (ii) 3 x 2 f) A rectangle has the following dimensions: 4x2 3x 5 3 Figure 1: A rectangle with specified side lengths. i) Derive and simplify an expression for the perimeter of the rectangle. ii) Find x if the perimeter of the rectangle is 52. g) Solve the inequality 0 6x-3 < 6 for x and sketch the solution region on a number line.
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