An arc AB of a circle with center O and radius = 10cm subtends an angle k = 0,5 radians at O. Determine the length of the arc AB.
Length of Arc AB = r x k = 10 x 0,5 = 5 cm
A football club has 160 players. The ratio between the experienced players to the new players is 5 : 3 respectively. Determine the number of new players.
The total of the ratio: 5 + 3 = 8 Number of new players: 3/8 x 160 = 60 Thus there are 60 new players in this football club.
Solve for x: 4x - (4 - 5x) > 6x + 23, x E R
4x - (4 - 5x) > 6x + 23 Distribute the negative: 4x - 4 + 5x > 6x + 23 Gather like terms on each side: 4x + 5x - 6x > 23 + 4 Simplify: 3x > 27 Divide on both sides by the coefficient of x: x > 9 (note that the inequality sign remains unchanged as the coefficient of x is positive) Thus the solution is: x > 9 (all real values greater than 9)