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 growth rate for this period 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:
[4/3 tan2 60∘ +3cos2 30∘ −2sec2 30∘ − 43​ cot2 60∘ ]÷[sin60∘ cos30∘ −cos60∘ sin30∘]
\( 6 \tfrac{2}{3} \)
\( 3 \tfrac{1}{2} \)
\( 4 \tfrac{1}{3} \)
\( 6 \tfrac{3}{2} \)