You might also like
A garden is in the shape of a right angled triangle. The length of the shortest side is l7 m and the area of the garden is 346.8 ml. Calculate the length of the longest side of the garden.
. Convert 2πC/9 into degrees.
The equation of a curve is given as y = 2x3 —9/2 x2 — 15x + 3. (a) Find: (i) the value of y when x = 2; (2 marks) (ii) the equation of the tangent to the curve at x = 2. (4 marks) (b) Determine the turning points of the curve.
Given that find b
A triangle T With vertices A (2,4), B (6,2) and C (4,8) is mapped onto triangle T’ with vertices A’(l0,0) , B'(8,—4) and C'(14,—2) by a rotation. (a) On the grid provided draw triangle T and its image. (2 marks) (b) Determine the centre and angle of rotation that maps T onto T’.
A Kenyan bank buys and sells foreign currencies as shown below: Buying (Ksh) Selling (Ksh) 1 Sterling pound (£) 130.10 130.54 1 South African Rand 9.52 9.58 A businessman on a trip to Kenya had £50 000 which he converted to Kenya shillings. While in Kenya, he spent 80% of the money and changed the balance to South African Rand. Calculate, to the nearest Rand, the amount he obtained.
A trader bought maize for Ksh 20 per kilogram and beans for Ksh 60 per kilogram. She mixed the maize and beans and sold the mixture at Ksh 48 per kilogram. If she made a 60% profit, determine the ratio maize to beans per kilogram in the mixture
The comer points A, B, C and D of a ranch are such that B is 8km directly East of A and C is 6km from B on a bearing of 30°. D is 7km from C on a bearing of 300°. (a) Using a scale of 1cm to represent 1km, draw a diagram to show the positions of A, B, C and D. (4 marks) (b) Use the scale drawing to determine: (i) the bearing of A from D; (1 mark) (ii) the distance BD in kilometres.