\[ \frac{\sqrt{2}/3 - 1}{(\sqrt{3}/3)(1)} = \frac{\sqrt{3} - 3}{\sqrt{3}} \]

In the diagram, BCDE is a circle with centre A. ∠BCD = (2x + 40)°, ∠BAD = (5x - 35)º, ∠BED = (2y+ 10)° and ∠ADC=40". Find: (a) the values of x and y;

Given that \( y = \left(\frac{pr}{m} - p^2r\right)^{-\frac{3}{2}} \) (a) make r the subject; (b) find the value of r when y = -8, m = 1 and p = 3.

(a) Given that (7 -2x), 9, (5x + 17) are consecutive terms of a Geometric Progression (G. P) with common ratio, r>0, find the values of x. (b) Two positive n...

(a) Copy and complete the table of values for \(y = 3\mathrm{Sin}x + 7\mathrm{Cos}x\) for 0° xº 0 20 40 60 80 100 120 140 160 180 y 7.0 4.2 -0.9 (b) Using a ...

(a) A man purchased 180 copies of a book at N250.00 each. He sold y copies at N300.00 each and the rest at a discount of 5 kobo in the Naira of the cost pric...

Item food & drinks fuel rent building project education savings Percentage% 35 7.5 1.0 15 17.5 x The table shows the monthly expenditure (in percentages) of ...

A chord subtends an angle of 72º at the centre of a circle of radius 24.5m. Calculate the perimeter of the minor segment. [Take π = \( \frac{22}{7} \)

The graph shows the relation of the form \(y = mx^2 + nx + r\), where m, n and r are constants. Using the graph: (a) state the scale used on both axes; (b) f...