Simplify
\[
\frac{\cos 45^\circ}{\sec 30^\circ + \mathrm{cosec}\,30^\circ}
\]
\(\frac{3\sqrt{2} + \sqrt{6}}{8}\)
\(\frac{\sqrt{3}}{2\sqrt{2} - 2\sqrt{6}}\)
\(\frac{3\sqrt{2} - \sqrt{6}}{8}\)
\(\frac{\sqrt{3}}{2\sqrt{6} - 2\sqrt{2}}\)
Which of the following numbers is a divisor of (4915 - 1)?
The following table shows the number of pages printed by 3 printers during 3 days.
Printers | X | Y | Z |
Days | |||
Monday | 130 | 140 | 210 |
Tuesday | 110 | 145 | 160 |
Wednesday | 180 | 90 | 218 |
What is the average number of pages printed by printer Z during the 3 days?