Triangle ABC has altitudes AD, BE, and CF. If AD = 12, BE = 14, and CF is a positive integer, then find the largest possible value of CF

An assembly consists of two mechanical components. suppose that the probabilities that the first and second components meet specifications are 0.87 and 0.84. assume that the components are independent. determine the probability mass function of the number of components in the assembly that meet specifications. x

Express in the simplest form: (x^2+9x+14/x^2-49) / (3x+6/x^2+x-56)

The two square pyramids are similar. find the total volume of both pyramids if the ratio of their surface areas is 9/16