The following bar graph shows the circulation growth of a magazine ABC from July 2022 to December 2022. 
During October to December, there was an even growth rate. The average of which is (correct up to one decimal place).
Simplify: \( 1020 \div \left[ \frac{4}{3} \text{ of } (26 + 4) - 11 \tfrac{2}{3} \right] \)
Five different companies, P, Q, R, S, and T, manufacture plastic and wooden bats. These bats are labelled as Brand A or Brand B. The given table shows the number of wooden bats as a percentage of the total bats manufactured by each company. It also shows the ratio of plastic bats labelled as Brand A to Brand B. Each company manufactures 1,00,000 bats. Study the table carefully and answer the question that follows.
| Company | Wooden bats | Brand A : Brand B |
| P | 65% | 3 : 7 |
| Q | 70% | 7 : 8 |
| R | 60% | 19 : 6 |
| S | 70% | 7 : 8 |
| T | 50% | 2 : 3 |
Taking all companies together, how many plastic bats of Brand B have been manufactured?
In a triangle ΔABC, the ∠ABC = 90°. If sin(A) = \( \tfrac{1}{2} \) , then cos(C) is equal to:
\( \frac{1}{\sqrt{2}} \)
\( 1 \)
\( \frac{\sqrt{3}}{2} \)
\( \frac{1}{2} \)
Simplify: \( \frac{(4.2)^3 - (1.2)^3}{(4.2)^2 + 5.04 + (1.2)^2} \)
Find the value of:
\(\left[\frac{4}{3}\tan^2 60^\circ + 3\cos^2 30^\circ - 2\sec^2 30^\circ - \frac{3}{4}\cot^2 60^\circ\right] \div \left[\sin 60^\circ \cos 30^\circ - \cos 60^\circ \sin 30^\circ\right]\)
\( 6 \tfrac{2}{3} \)
\( 3 \tfrac{1}{2} \)
\( 4 \tfrac{1}{3} \)
\( 6 \tfrac{3}{2} \)