Find CD 4 marks b A triangle whose vertices are P 22 Q 4 2 and R 44 is mapped

Find cd 4 marks b a triangle whose vertices are p 22

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Find CD. (4 marks) (b) A triangle whose vertices are P (2,2) , Q (4, 2) and R (4,4) is mapped onto a triangle whose vertices are P 1 (4, -2) , Q 1 (2,-2) and R 1 (2, -4) under a rotation. Find (i) The centre and angle of rotation. (4 marks) (ii) The images of points (0,4) and (-1,2) under the same rotation. (2 marks) 11
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20. The figure bellows two intersecting circles with centres C 1 and C 2 . The distance between their centres C 1 C 2 = 8cm. If chord AB = 8cm and AC 2 = 5cm, calculate the area common to the two circles. (10 marks) 12
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21. A company is to construct a parking bay whose area is 135m 2 . If is to be covered with a concrete slab of uniform thickness of 0.15m. To make the slab, cement, ballast and sand are to be mixed so that their masses are in the ratio 1:4:4. The mass of 1m 3 of dry slab is 2400kg. (a) i. Calculate the volume of the slab. (1 mark) ii. The mass of the dray slab. (1 mark) iii. The mass of cement to be used. (2 marks) b. If one bag of cement is 50kg, find the number of bags to be purchased. (3 marks) c. If a lorry carries 7 tonnes of sand, calculate the number of lorries of sand to be purchased. (3 marks) 13
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