What is the size of an exterior angle of a regular pentagon?

The sum of the root of a quadratic equation is \(\frac{5}{2}\) and the product of its root is 4. The quadratic equation is

Solve the given equation \((\log_{3} x)^{2} - 6(\log_{3} x) + 9 = 0\)

What is the length of an arc of a circle that subtends 2\(\frac{1}{2}\) radians at the centre when the radius of the circle is 8cm?

Find, correct to three significant figures, the value of \(\sqrt{41830}\).