Beach Corporation has a return on investment of 15%. A Beach division, which currently has a 13% ROI and $750,000 of residual income, is contemplating a massive new investment that will (1) reduce divisional ROI and (2) produce $120,000 of residual income. If Beach strives for goal congruence, the investment: a) should be acquired because it produces $120,000 of residual income for the division b) should not be acquired because it produces $120,000 of residual income c) should be acquired because after the acquisition, the division's ROI and residual income are both positive numbers d) should not be acquired because it reduces divisional ROI e) should not be acquired because the division's ROI is less than the corporate ROI before the investment is considered.

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.

i think the answer is a. science center.

u = 30

continuing your method

= +

subtract from both sides

= - thus

= -

= ⇒ u = 30