77m from A on a bearing of 326 25 Calculate the distance between B and C 4

77m from a on a bearing of 326 25 calculate the

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while C is 204.77m from A on a bearing of 326 0 25’. Calculate the distance between B and C. (4 marks) 10) A cylindrical container of diameter 14cm contains some water. Three spheres each of radius 7cm are completely submerged in the water. Determine the rise in the level of water in the container. (3 marks) 11) Given that -90 <x <90 0 , find x such that cos 3x – sin 2x = 0 0 (3marks) 4
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12) Express 3 - 2x as a single fraction. (3 marks) 2x – 1 4x 2 – 1 13) Given that log 10 m = x + y and log 10 n = x – y, express in terms of x and y the values of : i) log 10 m 2 n 2 (2 marks) ii) log 10 (10m ) (2 marks) n 14) The sum of the first ten terms of an arithmetic progression is 120. The sum of the next ten terms is 320. Calculate the first term and the common difference. (3 marks) 5
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15) Find the inequalities that define region R in the figure below. (3 marks) 16) Use a unit square to find a matrix of a shear, y-axis invariant where a point (2, 0) is mapped onto (2, 4) (2 marks) 6
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SECTION II (50 MARKS) Answer any five questions from this sector. 17) The figure shows a cuboid which is 12cm long, 5cm wide and 4cm high. Determine: a)Length of the diagonal AG.(3 marks)b)The angle between the plane ABGH and the horizontal plane ABCD.(3 marks)c)The cost of making the cuboid given that it is made of a sheet of metal costing sh.150 per m2 if there is no wastage. (4 marks) 7
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  • Fall '18
  • ANYANZWA

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