Answer:35in.
Step-by-step explanation:
I reccomend splitting it into sections when given problems like this.
The smaller two rectangles would be 5in * 2in which is 10in then just add them together.
For the bigger one, you'd do 5-2 in order to get the missing inches which will be 3+2 once added 5in*3in is 15in.
Finally, add 15+10+10 (15=The middle rectangle and 10=the sides)
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
(3,-6) that’s the answer but my teacher showed me this, how far away is 3 from 3? Well it’s the same so no distance so it stays the same , how far away is 2 away from 8? It would be 6. Home this helps
Answer 3.14
Step-by-step explanation:
Area= pi*r^2
Circumference=2*pi*r
Area=C^2/4pi= 6.28^2/4*pi which ='s 3.13841
Answer:
cos 2Ф = - 161/289 , tan 2Ф = - 240/161
Step-by-step explanation:
* Lets explain how to solve the problem
∵ cos Ф = - 8/17
∵ Ф lies in the 3rd quadrant
- In the 3rd quadrant sin and cos are negative values, but tan is
a positive value
∵ sin²Ф + cos²Ф = 1
∴ sin²Ф + (-8/17)² = 1
∴ sin²Ф + 64/289 = 1
- Subtract 64/289 from both sides
∴ sin²Ф = 225/289 ⇒ take √ for both sides
∴ sin Ф = ± 15/17
∵ Ф lies in the 3rd quadrant
∴ sin Ф = -15/17
∵ cos 2Ф = 2cos²Ф - 1 ⇒ the rule of the double angle
∵ cos Ф = - 8/17
∴ cos 2Ф = 2(-8/17)² - 1 = (128/289) - 1 = - 161/289
* cos 2Ф = - 161/289
∵ tan 2Ф = sin 2Ф/cos 2Ф
∵ sin 2Ф = 2 sin Ф × cos Ф
∵ sin Ф = - 15/17 and cos Ф = - 8/17
∴ sin 2Ф = 2 × (-15/17) × (-8/17) = 240/289
∵ cos 2Ф = - 161/289
∴ tan 2Ф = (240/289)/(-161/289) = - 240/161
* tan 2Ф = - 240/161
