Solve the equation:sin(x) + cos(x) = 2·sin(x + α). Then the value of α is:

A is a skew-symmetric matrix of odd order, then which of the following is true?

The area of a square garden is 400 m². Calculate the perimeter of the garden.

Find the distance between the points (2, 5) and (7, 1).

Find the area of the triangle whose vertices are (3, 6), (– 3, 2) and (4, 1).

Disk access time is measured in ____________.

If 'x' is a positive integer such that x + 1/x = 2, then find the value of  (x³ + x² − 2x – 6)/(4x⁴ + 2x²

A triangle has sides 7 cm, 24 cm, and 25 cm. A circle is inscribed in the triangle. What is the area of the triangle not covered by the circle?