<u>Answer:</u>
<h2>
ST = 44.54 ft</h2>
<u>Explanation:</u>
given:
∠T=90° , ∠R=39° and TR = 55 ft
ST = 55×tan(39)
ST = 55×0.80..
ST = 44.54 ft
(132 min)/(12 mi) = (t)/(66 mi)
t = (66 mi)*(132 min)/(12 mi) = 726 min
It will take the bicyclist 726 minutes to travel 66 miles.
The price at which revenue is maximized is $ 157, and maximum annual revenue is $ 6751.
Since at HD Sport & Fitness gym, analysis shows that, as the demand of the gym, the number of members is 83 when annual membership fee is $ 17 per member and the number of members is 81 when annual membership fee is $ 24 per member, and the number of members and membership fee have a linear relationship, to determine at what membership price is the maximized revenue, and what is the maximum annual revenue, the following calculations must be performed:
- 17 x 83 = 1411
- 24 x 81 = 1944
- 31 x 79 = 2449
- 38 x 77 = 2926
- 66 x 69 = 4554
- 73 x 67 = 4891
- 80 x 65 = 5200
- 94 x 61 = 5734
- 101 x 59 = 5959
- 122 x 53 = 6466
- 129 x 51 = 6579
- 150 x 45 = 6750
- 157 x 43 = 6751
- 164 x 41 = 6724
Therefore, the price at which revenue is maximized is $ 157, and maximum annual revenue is $ 6751.
Learn more in brainly.com/question/11663530
Answer:
16 in
Step-by-step explanation:
The 3 part of the ratio represents 24 inches.
Dividing by 3 gives the value of one part of the ratio.
24 in ÷ 3 = 8 in ← value of 1 part of the ratio, thus
2 parts = 2 × 8 in = 16 in ← hypotenuse of smaller triangle
100 / 60 = 1.66666667 , 1.66666667 x 39 = 65
