Find the value of the trigonometric ratio. make sure to simplify the fraction if needed

Two number cubes are rolled- one blue and one yellow. part a) find the probability that the blue cube is less than 3 and the product is 8. part b) is this event independent or dependent? explain why. your

A50% increase followed by 33 1/2% decrease

Find the volume of the solid whose base is the region bounded by f(x), g(x) and the x-axis on the interval [0, 1], and whose cross-sections perpendicular to the y-axis are squares. your work must show the integral, but you may use your calculator to evaluate it. give 3 decimal places for your answe