Answer:
![\approx 11.2\:\mathrm{in}](https://tex.z-dn.net/?f=%5Capprox%2011.2%5C%3A%5Cmathrm%7Bin%7D)
Step-by-step explanation:
The swing of the tip of pendulum is creating an arc. The question is actually asking for the length of this arc. The length of an arc is given by
, where
is the radius of the circle and
is the angle of the arc.
In this problem, we're given:
![\theta = 40^{\circ},\\r=16](https://tex.z-dn.net/?f=%5Ctheta%20%3D%2040%5E%7B%5Ccirc%7D%2C%5C%5Cr%3D16)
Substituting given values, we get:
![2\cdot 16\cdot \pi \cdot \frac{40}{360}=32\pi\cdot \frac{1}{9}\approx \boxed{11.2\:\mathrm{in}}](https://tex.z-dn.net/?f=2%5Ccdot%2016%5Ccdot%20%5Cpi%20%5Ccdot%20%5Cfrac%7B40%7D%7B360%7D%3D32%5Cpi%5Ccdot%20%5Cfrac%7B1%7D%7B9%7D%5Capprox%20%5Cboxed%7B11.2%5C%3A%5Cmathrm%7Bin%7D%7D)
Answer:
i dont think you've got the right (x,y) pair....
Step-by-step explanation:
3x - y = 5
3(2) - 7 = 5
6 - 7 = 5
those are not the correct coordinates for the equation
Answer:
136.24 minutes
Step-by-step explanation:
26.2÷2= 13.1
13.1*10.4= 136.24
Answer:
-3p^2 - 11p + 22
Step-by-step explanation:
A - 3B becomes (-2p + 7) - 3*(p^2 + 3p - 5).
Perform the indicated multiplication, obtaining:
(-2p + 7) - 3p^2 - 9p + 15, and then:
-2p + 7 - 3p^2 - 9p + 15, or (combining like terms):
-3p^2 - 11p + 22