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Make x the subject of the relation d = \(\sqrt{\frac{6}{x} - \frac{y}{2}}\)
The roots of a quadratic equation are \(\frac{-1}{2}\) and \(\frac{2}{3}\). Find the equation.
Find the 6th term of the sequence \(\frac{2}{3} \frac{7}{15} \frac{4}{15}\),...
Simplify the expression \(\frac{a^2 b^4 - b^2 a^4}{ab(a + b)}\)
Three exterior angles of a polygon are 30\(^o\), 40\(^o\) and 60\(^o\). If the remaining exterior angles are 46\(^o\) each, name the polygon.
Simplify; \(\sqrt{2}(\sqrt{6} + 2\sqrt{2}) - 2\sqrt{3}\)
In what number base was the addition 1 + nn = 100, where n > 0, done?
The average age of a group of 25 girls is 10year. If one girl, aged 12 years and 4 months joins the group, find the new average age of the group
Given that cos 30\(^o\) = sin 60\(^o\) = \(\frac{3}{2}\) and sin 30\(^o\) = cos 60\(^o\) = \(\frac{1}{2}\), evaluate \(\frac{tan 60^o - 1}{1 - tan 30^o}\)
A bearing of 320\(^o\) expressed as a compass bearing is
If P(2,3) and Q)2, 5) are points on a graph, calculate the length PQ
Calculate the gradient (slope) of the joining points (-1, 1) and (2, -2)
Which of the following is true about parallelogram?
If the total surface area of a solid hemisphere is equal to its volume, find the radius
The dimensions of water tank are 13cm, 10cm and 70cm. If it is half-filled with water, calculate the volume of water in litres
Water flows out of a pipe at a rate of 40\(\pi cm^2\) per seconds into an empty cylinder container of base radius 4cm. Find the height of water in the container after 4 seconds.
An arc of a circle of radius 7.5cm is 7.5cm long. Find, correct to the nearest degree, the angle which the arc subtends at the centre of the circle. [Take \(\pi = \frac{22}{7}\)]
Simplify; 3x - (p - x) - (r - p)
Solve: - \(\frac{1}{4}\) < \(\frac{3}{4}\) (3x - 2) < \(\frac{1}{2}\)
One factor of \(7x^2 + 33x - 10\) is