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If I is a 2 × 2 identity matrix, find the determinant of the matrix.
A varies directly as b\(^2\) when A = 4, b = 1. Find A when b = 2
Find the sum of the entries in the inverse of \(\begin{bmatrix} 1 & 2 \\ 3 & 5 \end{bmatrix}\)
The average weight of 15 iron bars is 1000 kg. If the heaviest iron bar is removed, the average weight is reduced by 5 kg. Find the weight in kg of the heaviest iron bar.
Y is partly constant and partly varies as x. When x = 3, y = 7 and when x = 5, y = 11. Find the constants of variation.
Find the number of permutations of the letters of the word SCHOOL.
Which of the following angles cannot be constructed using a protractor, a compass, and a sharpened pencil?
Given that Cos A = \(\frac{12}{13}\) for 0 ≤ A ≤ 90º, find Tan A.
Find the coordinates of the midpoint of line PQ given P(-3, 4) and Q(5, 6).
Simplify 125\(^{−\frac{1}{3}}\) × 49\(^{−\frac{1}{2}}\) × 10\(^0\)
Given that a * b = \(\frac{a + b}{\text{ab}}\) + (a - b). Find the value of 3 * 2
Solve the inequality 2x + 3 > 5x + 8
Solve the simultaneous equation \(\frac{\text{x}}{2}\) - \(\frac{\text{y}}{5}\) = 1 and y - \(\frac{\text{x}}{3}\) = 8
The set {1,2,3,4,5} is equivalent to
From the diagram above, find the area of the triangle PQR