Take -920/360 = -2.55555
Take the fraction part -0.5555555 * 360 = -200
The positive of that would be 160 degrees
The question is asking for the pattern of change within the given numbers. As you can see, the number decreases by 0.02 from left to right. Therefore, D is the correct answer. The whole number and tenths place remains constant as the hundredths place lowers by 2.
Well 1000 for his birthday then subtract 25 each week, w, should be 1000-25w if i am not mistaken.
Answer:![1+10(1-\cos (\frac{\pi t}{9}))](https://tex.z-dn.net/?f=1%2B10%281-%5Ccos%20%28%5Cfrac%7B%5Cpi%20t%7D%7B9%7D%29%29)
Step-by-step explanation:
Given
radius of wheel ![r=10 m](https://tex.z-dn.net/?f=r%3D10%20m)
Time period of Wheel ![T=18 s](https://tex.z-dn.net/?f=T%3D18%20s)
and
, where ![\omega =angular velocity of wheel](https://tex.z-dn.net/?f=%5Comega%20%3Dangular%20velocity%20of%20wheel)
![\omega =\frac{2\pi }{18}](https://tex.z-dn.net/?f=%5Comega%20%3D%5Cfrac%7B2%5Cpi%20%7D%7B18%7D)
Let at any angle
with vertical position of a point is given by
![x=r\sin \theta](https://tex.z-dn.net/?f=x%3Dr%5Csin%20%5Ctheta%20)
![y=y_0+r(1-\cos \theta )](https://tex.z-dn.net/?f=y%3Dy_0%2Br%281-%5Ccos%20%5Ctheta%20%29)
and ![\theta =\omega \times t](https://tex.z-dn.net/?f=%5Ctheta%20%3D%5Comega%20%5Ctimes%20t)
for velocity differentiate x and y to get
![v_x=r\cos \theta =r\cos (\omega t)](https://tex.z-dn.net/?f=v_x%3Dr%5Ccos%20%5Ctheta%20%3Dr%5Ccos%20%28%5Comega%20t%29)
![v_y=0+r(\sin \theta )=r\sin (\omeag t)](https://tex.z-dn.net/?f=v_y%3D0%2Br%28%5Csin%20%5Ctheta%20%29%3Dr%5Csin%20%28%5Comeag%20t%29)
Height at any time t is given by
![h=1+10(1-\cos \theta )=1+10(1-\cos (\frac{\pi t}{9}))](https://tex.z-dn.net/?f=h%3D1%2B10%281-%5Ccos%20%5Ctheta%20%29%3D1%2B10%281-%5Ccos%20%28%5Cfrac%7B%5Cpi%20t%7D%7B9%7D%29%29)