In the diagram, PR is a diameter of the circle RSP, RP is produced to T and TS is a tangent to the circle at S. If < PRS = 24\(^o\), calculate the value of ...

If x varies inversely as y and y varies directly as z, what is the relationship between x and z?

If M = {x : 3 \(\leq\) x < 8} and N = {x : 8 < x \(\leq\) 12}, which of the following is true? i. 8 \(\in\) M \(\cap\) N ii. 8 \(\in\) M \(\cup\) N iii. M \(...

If x = \(\frac{2}{3}\) and y = - 6, evaluate xy - \(\frac{y}{x}\)

Evaluate \(\frac{3\frac{1}{4} \times 1\frac{3}{5}}{11\frac{1}{3} - 5 \frac{1}{3}}\)

The ages of Tunde and Ola are in the ratio 1:2. If the ratio of Ola's age to Musa's age is 4:5, what is the ratio of Tunde's age to Musa's age?

Given that a = log 7 and b = \(\log\) 2, express log 35 in terms of a and b.

Express 0.0000407, correct to 2 significant figures

Solve the equation: \(\frac{1}{5x} + \frac{1}{x}\)= 3