A shopkeeper offers a scheme of either selling articles at successive discounts of 30% and 20% or one where a customer can “buy 2, get 1 free”. The positive difference in overall nominal percentage discounts offered in the two schemes is:
11 \( \frac{2}{3} \) %
10 \( \frac{1}{3} \) %
11 \( \frac{1}{3} \) %
10 \( \frac{2}{3} \)%
The volume of a right circular cylinder is 814 cm³. If the radius and the height of the cylinder are equal, find the height (in cm) of the cylinder.
(Use π = \( \frac{22}{7} \))
\(\sqrt[5]{259}\)
\(2\sqrt[3]{259}\)
\(\sqrt[3]{259}\)
\(\sqrt[3]{295}\)
In a right-angled triangle ABC, right-angled at B, if tan A = \(\frac{1}{\sqrt{3}}\), the value of (sin A cos C + cos A sin C) is: