For what value of k will the lines 2x + 7ky – 8 = 0 and x + y – 9 = 0 have no solution?
\(\dfrac{2}{7}\)
\(\dfrac{9}{7}\)
\(\dfrac{8}{9}\)
\(\dfrac{1}{2}\)
The pie chart given below shows the number of hours spent by a student for different activities on a working day.
The percentage of hours spent at school in a day is _____.
Study the given table and answer the question that follows The following table shows the population of a city at the end of the years mentioned.
| Year | Population |
| 2012 | 64.5 |
| 2013 | 68.4 |
| 2014 | 72.6 |
| 2015 | 83.8 |
| 2016 | 100.6 |
| 2017 | 112.8 |
| 2018 | 128.4 |
| 2019 | 134.6 |
| 2020 | 156.8 |
| 2021 | 176.4 |
Which of the following years has the highest rate of increase compared to the previous year?
\(\dfrac{3\sin58^\circ}{5\cos32^\circ} + \dfrac{2\cos62^\circ}{5\sin28^\circ}\) is equal to:
If 7 tan θ =3, and θ is an acute angle, then is equal to: \(\dfrac{5\sin\theta - \cos\theta}{5\sin\theta + 2\cos\theta}\)
\(\dfrac{8}{29}\)
\(\dfrac{11}{29}\)
\(\dfrac{7}{29}\)
\(\dfrac{9}{29}\)