If \( \tan \theta = \frac{m^2-n^2}{2mn} \) find \( \sec \theta \)

If the length of a square is increased by 20% while while its width is decreased by 20% to form a rectangle, what is the ratio of the area of the rectangle t...

A rectangular lawn has an area of 1815 square yards. if its length is 50 meters, find its width in meters given that 1 metre equals 1.1 yards

A train moves from P to Q at an average speed of 90km/h and immediately returns from Q to P through the same route at an average speed of 45km/h. Find the av...

By selling 20 oranges for ₦1.35 a trader makes a profit of 8%. What is his percentage gain or loss if he sells the same 20 oranges for ₦1.10?

Reduce each number to two significant figures and then evaluate \( \frac{0.021741 \times 1.2047}{0.023789} \)

Convert 241 in base 5 to base 8,

Find the least length of a rod which can be cut into exactly equal strips, each of either 40cm or 48cm in length

Two brothers invested a total of ₦5,000.00 on a farm project, the farm yield was sold for ₦15,000.00 at the end of the season. If the profit was shared in th...