Given a cone with height 10 feet and diameter of 22 feet, determine the radius of the smaller cone created when a horizontal plane passes through the cone at exactly 3 feet from the base.​

An architect is designing a water fountain for a park she uses the given function to model the water jet flowing from the fountain nozzles where h(x) gives the height of the water jugs in feet x feet from the starting point h(x)=-1/20x+x+15

Write the sine and cosine values of a, b, respectively, in the figure for (1) and (2) + explanation.

Finally, the arena decides to offer advertising space on the jerseys of the arena's own amateur volley ball team. the arena wants the probability of being shortlisted to be 0.14 what is this as a percentage? what is this as a fraction? what is the probability of not being shortlisted? give your answer as a decimal.