A point inside the rectangle is chosen at random show that the probability that

A point inside the rectangle is chosen at random show

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A point inside the rectangle is chosen at random, show that the probability that it lies in the shaded area outside the semi-circle is ¼ (4 – π). (3 marks) 8. Find the value of θ for O 0 ≤ θ ≤ 360 0 (3 marks) Cos (2 θ + 120 0 ) = - √3 2 4
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9. A regular octagon has sides 8 cm. Calculate its area to 4 s.f (3 marks) 10. A point A is mapped onto A 1 by a positive quarter turn about the origin. A 1 is then mapped onto A 11 by a translation represented by the vector 2 . If A 11 has the coordinates. (4, 10), determine the coordinates of point A. 6 (3 marks) 5
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11. Given that m =√ x a write a in terms of m and x. (3 marks) 12. A circle has a radius of 2cm and a chord whose distance from the centre is √3 cm. Find the area of the major segment made by the chord. (4 marks) 13. Use logarithm tables to solve the equation X 0.4142 = 0.6335. (3 marks) 6
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14. OP = 2i + 3j + k and OQ = -I + 2j – 2k. If R is appoint such that OR = 2OP – OQ. The length of PR. (3 marks) 15. Mwalo can do a piece of work in 12 days which Mwalo and Wekesa working together can do in 8 days. How long would Wekesa take working alone? (3 marks) 16. Simplify x – 2 _ 2x + 20 (3 marks) x +2 x 2 – 4 7
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17. (a) An experiment culture has an initial population of 50 bacteria. The population increased by 80% every 20 minutes. Determines the time it will take to have a population of 1.2 million bacteria. (4 marks) (b) Irene deposits her money in a savings bank on a monthly basis.
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  • Fall '18
  • ANYANZWA

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