3 marks 10 Given the matrices A 3 2 and B 1 1 and that C AB find the inverse of

3 marks 10 given the matrices a 3 2 and b 1 1 and

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(3 marks) 10. Given the matrices A= 3 2 and B = 1 -1 and that C = AB, find the inverse of C. 4 1 2 3 (3 marks) 4
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11. A quantity P is partly constant and partly varies as the square of Q. When Q = 2, P=40 and when Q = 3, P=65. Determine the value of P when Q = 4. (3 marks) 12. Given that cos (90 – B) = √3 , determine without using trigonometric tables the value of cos B. 2 (3 marks) 13. Chebet deposited sh. 50,000 in a savings account which paid compound interest at the rate of 15% per annum. Calculate to the nearest year the time she would have to wait for her money to double. (4 marks) 5
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14. In the figure, PQ is parallel to RS and the lines PS and RQ meet at T. Given that PT:TS = 2 : 3 and that RQ = 10 cm, show that triangles PTQ and STR are similar and hence find the length of RT. (4 marks) P Q z x 3 R S 15. A line passes through A(6,4) and B(8,7). Find the angle the line makes with the x-axis. (3 marks) 6
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SECTION B(50 MARKS) Answer any 5 questions from this section 16. A radio dealer planned to buy some radios from a wholesaler for sh 34,000. Before he could buy them, the price of each radio was increased by sh 300. He now discovers that he can only afford to buy 30 radios less than he had planned to buy with the same a mount of money. Determine the number of radios he had originally planned to buy and the new price of each radio.
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  • Fall '18
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