The mean proportional of a and b is c. What is the mean proportional of a2 c and b2 c?
What is the value of
\[
\frac{\cos 20^\circ}{\sin 70^\circ} + \frac{\cos \theta}{\sin(90^\circ - \theta)}
\]
A boat racer can row 21(3/2) km/hr in still water. If the speed of river is 12.5 km/hr, it takes him 40 minutes to row to a place and back, how far off is the place (consider up to two decimals)?
The number of mobile sim card owners in 4 states/UTs are given in the bar diagram. Study the diagram and answer the question.
The average of sim card sold in the four State/UT in lakhs is:
What will be the value of sin 10° - 4/3 sin³ 10°?
\( \frac{1}{3\sqrt{3}} \)
1/6
\( \frac{1}{2\sqrt{3}} \)
\( \frac{\sqrt{3}}{6} \)
Successive discounts of 18% and 22% are equal to a single discount of _______________