Michael, a recent college graduate, is on his way home for his new job. He gets caught in a snowstorm and is taken in by an elderly couple, who provide him with food and shelter. After the snowplows have cleared the road, Michael proceeds home. Michael's father, Thomas, is most appreciative of the elderly couple's action and in a letter promises to pay them $500 for the assistance they provided to Michael. The elderly couple, in need of funds, accept Thomas' offer. Then, because of a dispute between Michael and Thomas, Thomas refuses to pay the elderly couple the $500. Discuss whether the couple can hold Thomas liable in contract for the services rendered to Michael.

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.

1) the stages a new product goes through from beginning to end, i.e., the stages that a product passes through from introduction through growth, maturity, and decline. 2) the time from initial research and development to the time at which sales and support of the product to customers are withdrawn. 3) the period of time during which a product can be produced and marketed profitably.

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answer; capital structure decision;