Write the expression as a sum or difference of trigonometric functions.
6sin(4x)sin(6x)

Karl needs to build a stage that has an area of 72 square feet.the length of the stage should be longer than the width.what are the possible whole number measurements for the length and with of the stage complete the table with possible measurements of the stage

In trapezoid efgh, m∠hef=(4x2+16)∘ and m∠gfe=(5x2+12)∘. find the value of x so that efgh is isosceles.

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