Answer:
Step-by-step explanation:
Octagon is the figure with 8 sides and 8 angles
Sum of the exterior angles of any polygon is 360°
<u>Each angle of a regular octagon is:</u>
Answer:
(a) 35.41166
(b) 29.15324
(c) 37.6595
(d) 56.70206
(e) From 1991 to 1998 the change in amount of money circulation decreases and from 1998 to 2011 the change in amount of money circulation increases.
Step-by-step explanation:
The given function is
![M(t)= 0.05022t^3 - 1.125t^2 + 37.511t + 247.4](https://tex.z-dn.net/?f=M%28t%29%3D%200.05022t%5E3%20-%201.125t%5E2%20%2B%2037.511t%20%2B%20247.4)
where t represents the number of years since 1990 and M(t) is in billions of dollars.
Differentiate with respect to t.
![M'(t)= 0.05022(3t^2) - 1.125(2t) + 37.511(1) + (0)](https://tex.z-dn.net/?f=M%27%28t%29%3D%200.05022%283t%5E2%29%20-%201.125%282t%29%20%2B%2037.511%281%29%20%2B%20%280%29)
.... (1)
M'(t) represents the rate of change of money in circulation, where t represents the number of years since 1990.
(a) For 1991, substitute t=1 in equation (1).
![M'(1)=0.15066(1)^2 - 2.25(1) + 37.511=35.41166](https://tex.z-dn.net/?f=M%27%281%29%3D0.15066%281%29%5E2%20-%202.25%281%29%20%2B%2037.511%3D35.41166)
(b) For 1998, substitute t=8 in equation (1).
![M'(8)=0.15066(8)^2 - 2.25(8) + 37.511=29.15324](https://tex.z-dn.net/?f=M%27%288%29%3D0.15066%288%29%5E2%20-%202.25%288%29%20%2B%2037.511%3D29.15324)
(c) For 2005, substitute t=15 in equation (1).
![M'(15)=0.15066(15)^2 - 2.25(15) + 37.511=37.6595](https://tex.z-dn.net/?f=M%27%2815%29%3D0.15066%2815%29%5E2%20-%202.25%2815%29%20%2B%2037.511%3D37.6595)
(d) For 2011, substitute t=21 in equation (1).
![M'(21)=0.15066(21)^2 - 2.25(21) + 37.511=56.70206](https://tex.z-dn.net/?f=M%27%2821%29%3D0.15066%2821%29%5E2%20-%202.25%2821%29%20%2B%2037.511%3D56.70206)
(e) From 1991 to 1998 the change in amount of money circulation decreases and from 1998 to 2011 the change in amount of money circulation increases.
Answer:
you can use it in architecture and construction
Step-by-step explanation:
say you are building a sloped roof. If you know the height of the roof and the length for it to cover, you can use the Pythagorean Theorem to find the diagonal length of the roof's slope. You can use this information to cut properly sized beams to support the roof, or calculate the area of the roof that you would need to shingle. I hope this helps!