Given the triangle XYZ above, calculate the value of Cot \(\theta\) and the length XY, respectively

Given that a * b = \(\frac{a + b}{\text{ab}}\) + (a - b). Find the value of 3 * 2

From the diagram above, find the area of the triangle PQR

Simplify 125\(^{−\frac{1}{3}}\) × 49\(^{−\frac{1}{2}}\) × 10\(^0\)

Solve the simultaneous equation \(\frac{\text{x}}{2}\) - \(\frac{\text{y}}{5}\) = 1 and y - \(\frac{\text{x}}{3}\) = 8

Find the coordinates of the midpoint of line PQ given P(-3, 4) and Q(5, 6).

Given that Cos A = \(\frac{12}{13}\) for 0 ≤ A ≤ 90º, find Tan A.

The set {1,2,3,4,5} is equivalent to

Solve the inequality 2x + 3 > 5x + 8