The diagonals of a parallelogram ABCD intersect at O. A line through O intersect AB at X and DC at Y. if AB = 11 cm, AD = 6 cm, and OX = 4 cm, find the length of OY.
A parallelogram has a diagonal of 10 cm. The perpendicular distance of this diagonal from an opposite vertex is 5 cm. Find the area of the parallelogram.
A sphere and a right circular cylinder have the same radius. If the volume of the sphere is one fifth of the volume of the cylinder, what is the ratio of the height of the cylinder to its radius?
In 2008, the meteorological office predicted the weathers completely right for the months of february and april, and completely wrong for all the other months. What is the probability that the forecast was wrong for a given day that year?