16 a State the inequalities in terms of x and y which define the region R below

# 16 a state the inequalities in terms of x and y which

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16. a) State the inequalities in terms of x and y which define the region R below. (4marks) ii) Find the maximum and minimum values of x-y (2marks) Y b) 240m 180m P 120m 180m N 60m 60m 120m X 7

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XY is the baseline with offsets to M, P and N. Taking X as the starting point of the survey, enter the information in a field not book. (4marks) 17. Complete the table below by filling in the bank. X 0 O 0 30 0 60 0 90 0 120 0 150 0 180 0 210 0 240 0 270 0 300 0 330 0 360 0 Cos x 0 1.00 0.50 - 0.87 - 0.87 1.00 2cos½x 0 2.00 1.93 0.52 - 1.00 -2.00 8
Using a scale of 1cm to represent 30 0 on the horizontal axis and 4cm to represent 1 unit on the vertical axis, draw on the grid provided, the graphs of y=cosx 0 and y= 2cos½x 0 on the same axis. (5marks) a) Find the period and the amplitude of y = 2 cos½x 0 . (1mark) b) Describe the transformation that maps the graph of y=cosx 0 on the graph of y=2cos½x 0 (2marks) 9

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18. The diagram below shows a frustum of a square based right pyramid. The base ABCD is a square of side 10cm. The top A 1 B 1 C 1 D 1 is a square of side 4cm and each of the short edges of the frustum is 5cm. Determine a) The height of the frustum. (4marks) b) The angle between AC 1 and ABCD. (4marks) c) The angle between ABB 1 A 1 and ABCD. (2marks) 10
19. The position of two towns A and B on the earth’s surface are (36

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• Fall '18
• ANYANZWA

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