A squirrel is 54 feet up in a tree and tosses a nut out of the tree with an initial velocity of 18 feet per second. The nuts height, h, at time t seconds can be represented by the equation h(t)= -16t^2 +18t +54. If the squirrel climbs down the tree in 3 seconds, does it reach the ground before the nut?

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

Question part points submissions used suppose that 100 lottery tickets are given out in sequence to the first 100 guests to arrive at a party. of these 100 tickets, only 12 are winning tickets. the generalized pigeonhole principle guarantees that there must be a streak of at least l losing tickets in a row. find l.

The figures below are made out of circles, semicircles, quarter circles, and a square. find the area and the perimeter of each figure and give your answers as a completely simplified exact value in terms of π (no approximations).