32 + 0.33c = p
where c is every card more than 80 (so if you want 82 card c = 2)
and p is the total price
The first thing we must do is calculate the circumeference:
![\begin{gathered} c=2\cdot\pi\cdot r \\ c=2\cdot3.14\cdot7.9 \\ c=49.612 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20c%3D2%5Ccdot%5Cpi%5Ccdot%20r%20%5C%5C%20c%3D2%5Ccdot3.14%5Ccdot7.9%20%5C%5C%20c%3D49.612%20%5Cend%7Bgathered%7D)
now, calculate the angle of arc
360° = 49.612
360° - 66.4° - 180° = x
x = 113.6°
now, to calculate the arc length it would be:
Answer:
its 2 1/6 (B)
Step-by-step explanation:
C :) brainiest? This is correct because I did the math lol
Answer:
10.06 ft
Step-by-step explanation:
Maria's maximum height will occur when her velocity reaches zero (0). This means that she has stopped ascending and is about to begin descent.
The equation for the height reached by Maria on the trampoline is given as:
![h=-16t^2+18t+5](https://tex.z-dn.net/?f=h%3D-16t%5E2%2B18t%2B5)
To find her maximum height, we first have to find the time it will take her to get to that height and corresponding velocity (zero).
Her velocity can be found by differentiating her height i.e. dh/dt:
![v = \frac{dh}{dt} = -32t + 18](https://tex.z-dn.net/?f=v%20%3D%20%5Cfrac%7Bdh%7D%7Bdt%7D%20%3D%20-32t%20%2B%2018)
Therefore, when v = 0:
![0 = -32t+ 18\\\\=> 32t= 18\\\\t = 18 / 32 = 0.5625 secs](https://tex.z-dn.net/?f=0%20%3D%20-32t%2B%2018%5C%5C%5C%5C%3D%3E%2032t%3D%2018%5C%5C%5C%5Ct%20%3D%2018%20%2F%2032%20%3D%200.5625%20secs)
It takes her 0.5625 seconds to get to her maximum height.
Therefore, her height at that time (0.5625 seconds) is:
![h=-16(0.5625)^2+18(0.5625)+5\\\\h = -16 * (0.3164) + 10.125+5\\\\h = -5.0624 + 15.125\\\\h = 10.06 ft](https://tex.z-dn.net/?f=h%3D-16%280.5625%29%5E2%2B18%280.5625%29%2B5%5C%5C%5C%5Ch%20%3D%20-16%20%2A%20%280.3164%29%20%2B%2010.125%2B5%5C%5C%5C%5Ch%20%3D%20-5.0624%20%2B%2015.125%5C%5C%5C%5Ch%20%3D%2010.06%20ft)
Therefore, her maximum height is 10.06 ft.