1. points
Paulina wants to find the width, AB, of a river. She walks along the edge of the river 200 ft and marks
point C. Then she walks 60 ft further and marks point D. She turns 90° and walks until her location,
point A, and point Care collinear. She marks point E at this location, as shown.

(a) Can Paulina conclude that AABC and AEDC are similar? Why or why not?
(b) Suppose DE = 40 ft. Calculate the width of the river, AB. Show all your work and round answer
to the nearest tenth.

(a) compute the maclaurin polynomial m2(x) for f(x) = cos x. (b) use the polynomial of part (a) to estimate cos π 12. (c) use a calculator to compute the error made using the estimate from part (b) for the value of cos π 12. remember that the error is defined to be the absolute value of the difference between the true value and the estimate.

Jonathan puts $400 in a bank account. each year the account earns 6% simple interest. how much interest will be earned in 5 years?

Astudent is determining the influence of different types of food on the growth rate of spiders. she feeds one group of spiders two caterpillars twice a week. the other group received similarly-sized beetles twice a week. she records the amount of time required for individuals to reach sexual maturity. her hypothesis is that the spiders feeding on caterpillars will have a faster growth rate because caterpillars have a higher protein content compared to beetles. in this experiment, what is the dependent variable? spiders assigned to different feeding groups. time required to reach sexual maturity number of prey items fed twice a week. growth rates of each group.