Mathematics

  1. Given: sin16° = pDetermine the following in terms of p, without using a calculator
    22 Jul 2017 06:17
  2. In the diagram, M is the center of the circle passing through T(3;7), R and S(5;2). RT is a diameter of the circle. K(a;b) is a point in the 4th quadrant such that KTL is a tangent to the circle circle at T.
    22 Jul 2017 06:07
  3. In the diagram, A(-7;2), B, C96;3) and D are the vertices of a rectangle ABCD. The equation of AD is y = 2x + 16. Line AB cuts the y-axis at G. The x-intercept of line BC is F(p ; 0) and the rectangle of BC with the positive x-axis is α. The diagonals of the rectangle intersect at M.
    22 Jul 2017 03:44
  4. The heights of 160 learners in a school are measured. The height of the shortest learner is 1.39m and the height of the tallest learner is 2.21m. The heights are represented in the histogram below.
    20 Jul 2017 16:33
  5. A survey was conducted at a local supermarket relating the distance that shoppers lived from the store to the average number of times they shopped at the store in a week. The results are shown in the table below.
    20 Jul 2017 16:22
  6. For two events, A and B, it is given that:P(A) = 0,2P(B) = 0,63P(A and B) = 0,126Are the events, A and B, independent? Justify your answer with appropriate calculations.
    20 Jul 2017 14:21
  7. A rain gauge is in the shape of a cone. Water flows into the gauge. The height of the water is h cm when the radius is r cm. The angle between the cone edge and the radius is 60 degrees, as shown in the diagram below.
    20 Jul 2017 14:13
  8. Given h(x) = -x3 + ax2 + bx and g(x) = -12x, P and Q(2; 10) are the turning points f h. The graph of h passes through the origin.
    20 Jul 2017 14:09
  9. If f(x) = -x2 - 3x, determine f `(x) from first principles.
    20 Jul 2017 12:43
  10. The graph of f shows the book value of a vehicle x years after the time Joe bought it. The graph of g shows the cost price of a similar new vehicle x years later.
    20 Jul 2017 12:32
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