Arope is attached to the top of a tree and is tied to a stake in the ground that is far away from the base of the tree. the tree is 56 feet tall and the rope is 82 feet long. the rope forms an angle 0 with the ground. calculate the measure of 0. also calculate the distance between the stake in the ground and the base of the tree. draw a diagram and show the trig functions you used.

Ascientist has discovered an organism that produces five offspring exactly one hour after its own birth, and then goes on to live for one week without producing any additional offspring. each replicated organism also replicates at the same rate. at hour one, there is one organism. at hour two, there are five more organisms. how many total organisms are there at hour seven? 2,801 19,531 19,607 97.655

What is the value of the expression i 0 × i 1 × i 2 × i 3 × i 4? 1 –1 i –i

The table below shows the approximate height of an object x seconds after the object was dropped. the function h(x)= -16x^2 +100 models the data in the table. for which value of x would this model make it the least sense to use? a. -2.75 b. 0.25 c. 1.75 d. 2.25