In the given figure, ∠ABC = 81° and ∠ACB = 9º. What is the value of ∠BDC?
If x = 2 - 21/3 + 22/3, then find the value of x³ - 6x² + 18x.
If A is an acute angle, then what is the simplified form of
\(
\frac{\cos(\pi - A) \cdot \cot\left(\frac{\pi}{2} + A\right) \cdot \cos(-A)}
{\tan(\pi + A) \cdot \tan\left(\frac{3\pi}{2} + A\right) \cdot \sin(2\pi - A)}
\)
Find the area of the shaded portion of an equilateral triangle with sides 6 units shown in the following figure. A circle of radius 1 unit is centred at midpoint of a side of the triangle.
\( \frac{1}{2} \left( 9\sqrt{3} - \frac{11}{7} \right) \text{ unit}^2 \)
\( \frac{1}{4} \left( 9\sqrt{3} - \frac{11}{7} \right) \text{ unit}^2 \)
\( \frac{1}{2} \left( 6\sqrt{3} - \frac{11}{7} \right) \text{ unit}^2 \)
\( \frac{1}{2} \left( 9\sqrt{3} - \frac{22}{7} \right) \text{ unit}^2 \)
The table given below shows the sales turnover of 5 different companies.
| Company | Sales turnover |
| E | 270 |
| F | 230 |
| G | 350 |
| H | 400 |
| I | 300 |
What is the difference between the sales turnover of company H and F?
If a = -12, b = -6 and c = 18, then what is the value of \( \frac{(2abc)}{9} \)
By selling an article for Rs.33,000 a man gains 10%. To get a profit of 20%, he has to sell it for: