Tom, who owns a successful business with two locations and a few international clients, was approached by a large organization about dramatically expanding his company. tom later told his wife that he is happy with his success, but he wants to stay small because if he decides to add new products, small companies . tend to not change due to inexperienced managementb. can adjust more easily to capital shortagesc. take more time to start new endeavorsd. typically maneuver slowly with new idease. can get started more easily and maneuver faster

The answer is: E) can get started more easily and maneuver faster

Explanation:

One of the most important advantages of small businesses over large corporations is that they don´t have bureaucracies that slow them down.

Specially if a business is a sole proprietorship (I believe Tom is the sole owner) where the owner has complete control and full decision making powers.  Also a small business can be either set up or closed down very easily, it is very flexible and simple compared to a large corporation.

bd = 9 cm

step-by-step explanation:

in a 30°-60°-90° triangle, the ratio of side lengths is 1 : √3 : 2. that is, the longest side (hypotenuse) is twice the length of the shortest side.

all of the triangles in your geometry are 30°-60°-90° triangles. ac is the hypotenuse of δacd, and the short side of δabc.

the short side ad of δacd will be half the length of ac, so 3 cm. the hypotenuse ab of δabc will be twice the length of ac, so 12 cm. segment bd is the difference of the lengths ab and ad, so is

bd = ab -ad

bd = 12 cm - 3 cm = 9 cm

comment on side length ratios

you can figure the ratios of side lengths in a 30°-60°-90° triangle by considering the trig ratios of the angles. or you can figure the length of the altitude of an equilateral triangle of side length 2 using the pythagorean theorem.