The pie chart shows the income of a civil servant in month. If his monthly income is N6,000. Find his monthly basic salary. 

If x is positive real number, find the range of values for which \(\frac{1}{3x}\) + \(\frac{1}{2}\) > \(\frac{1}{4x}\) 

Find the value of x if \(\frac{\sqrt{2}}{x + \sqrt{2}}\) = \(\frac{1}{x - \sqrt{2}}\) 

A binary operation x is defined by a x b = a\(^b\). If a x 2 = 2 - a, find the possible values of a?

The chord ST of a circle is equal to the radius r of the circle. Find the length of arc ST