Plastbolt, a company that manufactures and supplies plastic bottles, wants to acquire a smaller company. It plans to invest in two smaller plastic manufacturing companies and buy the one that it finds yields better returns. In this scenario, Plastbolt is most likely using

options-based planning

Explanation:

Options-based planning is defined as one that focuses on what could go wrong in a given business venture. Resources are now used to mitigate the projected issues that can arise.

In the give scenario Plastbolt is trying to invest in two smaller plastic manufacturing companies and buy the one that it finds yields better returns.

So they have an option of going ahead with the venture that has better returns.

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.

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