In a 30-60-90 triangle, the length of the hypotenuse is 30. find the length of the longer leg.

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 0 a. at what time does the particle reverse direction? b. when is the displacement positive? (round one decimal place and answer in interval notation) c. when is the displacement negative? (round one decimal place and answer in interval notation) d. when is the particle’s acceleration positive? (round one decimal place and answer in interval notation) e. when is the particle’s acceleration negative? (round one decimal place and answer in interval notation)

The volume of a spherical hot air balloon v(r) = 4 3 ? r3 changes as its radius changes. the radius is a function of time given by r(t) = 3t. find the instantaneous rate of change of the volume with respect to t at t = 2.

From a party ,lori made a fruit punch from 1 gallon of orange juice ,2 quarts of grape juice,5 pints of pineapple juice,and 12 cups of cranbarry juice order the juice from least to greatest amount used in the fruit punch