math

1.1 The cumulative frequency graph (ogive) drawn below shows the total number of food items ordered from a menu over a period of 1 hour. 1.1.1 Write down the total number of food items ordered from the menu during this hour. (1) 1.1.2 Write down the modal class of the data. (1) 1.1.3 How long … Read more

8.1 O is the centre of the circle.. KOM bisects chord LN and   MNO = 26°    K and P are points on the circle with NKP = 32° . OP is drawn. 8.1.1 Determine, giving reasons, the size of: (a)  Ô2 (2) (b) Ô1 (4) 8.1.2 Prove, giving reasons, that KN bisects OKP. (3) 8.2 … Read more

A landscape artist plans to plant flowers within two concentric circles around a vertical light pole PQ. R is a point on the inner circle and S is a point on the outer circle. R, Q and S lie in the same horizontal plane. RS is a pipe used for the irrigation system in the … Read more

6.1 In the diagram, P(—5 ; 12) and T lies on the positive x-axis. PÔT = 0 Answer the following without using a calculator: 6.1.1 Write down the value of tan0 (1) 6.1.2 Calculate the value of cos0 (3) 6.1.3 S(a, b) is a point in the third quadrant such that TÔS = 0 + … Read more

The graphs of    f(x)1/2 cos x and   g(x) = sin(x + 30°) , for the interval x E [0°; 180°], are drawn below. A(130,9° ; 0,33) is the approximate point of intersection of the two graphs. 5.1 Write down the period of g. (1) 5.2 Write down the amplitude of f (1) 5.3 Determine the value of … Read more