A box contains 3 red, 5 blue, and 2 green balls. If a ball is drawn randomly, find the probability that it is a blue ball.
Find the mean of the following data: Class intervals – 0-10, 10-20, 20-30, 30-40; Frequencies – 5, 10, 8, 7.
Find the area of a sector of a circle with a radius of 10 cm and a central angle of 45°.
Construct a pair of tangents to a circle of radius 4 cm from a point 7 cm away from its center.
A ladder is leaning against a wall, making an angle of 60° with the ground. The distance of the foot of the ladder from the wall is 5 m. Find the length of the ladder.