Ultimate Luxury Hotel is a single hotel with 300 rooms. During the month of October, the hotel had 5,000 guests, who each stayed one night. What is the occupancy rate for October (rounded to the nearest whole percent)?

54%

Explanation:

Calculation for what is the occupancy rate for October

Based on the information given we were told that the hotel had 5,000 guests in which each of them stayed one night which means that we are going to First calculate the Guest nights

Guess Nights= 5,000 × 1

Guest Nights= 5,000

Second step is to calculate the available room

Available Room Nights = 300 rooms × 31 days

because we have 31 days in October

Available Room Nights= 9,300.

Last step is to calculate the Occupancy rate

Occupancy Rate= 5,000 ÷ 9,300

Occupancy Rate=0.54×100

Occupancy Rate= 54%

Therefore the occupancy rate for October will be 54%

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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