Acompany wants to lay cable across a lake. to determine the distance across the lake it took the following measurements and created this diagram.

to the nearest tenth of a kilometer, what is the approximate distance across the lake?

The position of a moving particle is given by the position function: f(t)=-9t-t^2-0.2t^3+0.1t^4 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)

What is the area of the parallelogram? 48 sqrt(3)cm2 48 cm2 24 sqrt (3) cm2 24 cm2

In a class of 77, there are 44 students who play soccer. if the teacher chooses 33 students, what is the probability that none of the three of them play soccer?