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

# A point inside the rectangle is chosen at random show

• 13

This preview shows page 4 - 9 out of 13 pages.

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

Subscribe to view the full document.

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
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

Subscribe to view the full document.

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
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.

Subscribe to view the full document.

• Fall '18
• ANYANZWA

### What students are saying

• As a current student on this bumpy collegiate pathway, I stumbled upon Course Hero, where I can find study resources for nearly all my courses, get online help from tutors 24/7, and even share my old projects, papers, and lecture notes with other students.

Kiran Temple University Fox School of Business ‘17, Course Hero Intern

• I cannot even describe how much Course Hero helped me this summer. It’s truly become something I can always rely on and help me. In the end, I was not only able to survive summer classes, but I was able to thrive thanks to Course Hero.

Dana University of Pennsylvania ‘17, Course Hero Intern

• The ability to access any university’s resources through Course Hero proved invaluable in my case. I was behind on Tulane coursework and actually used UCLA’s materials to help me move forward and get everything together on time.

Jill Tulane University ‘16, Course Hero Intern