An upcoming convention has secured 300 rooms at $140 per room for Friday night. The rack rate for Friday night is $250 per room and you have booked an additional 100 rooms at this rate. What will be your income for hotel rooms Friday?

$67,000

Explanation:

The total revenue will be income from the 300 rooms and that from 100 rooms

=(300 x $140) + ($100 x 250)

=$42,000 +$25,000

=$67,000

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.