Answer: The angle through which the pendulum travels =
.
Step-by-step explanation:
Formula: Length of arc:
, where r= radius ( in radians) ,
= central angle.
Given: Length of pendulum (radius) = 45 cm
Length of arc= 27.5 cm
Put these values in the formula, we get

In degrees ,
![\theta=\dfrac{11}{18}\times\dfrac{180}{\pi}=\dfrac{110\times7}{22} \ \ \ \ [\pi=\dfrac{22}{7}]](https://tex.z-dn.net/?f=%5Ctheta%3D%5Cdfrac%7B11%7D%7B18%7D%5Ctimes%5Cdfrac%7B180%7D%7B%5Cpi%7D%3D%5Cdfrac%7B110%5Ctimes7%7D%7B22%7D%20%5C%20%5C%20%5C%20%5C%20%20%20%20%5B%5Cpi%3D%5Cdfrac%7B22%7D%7B7%7D%5D)

Hence, the angle through which the pendulum travels =
.
Answer:
This line would be parallel to C. y = -10 - 3x
Step-by-step explanation:
This is because parallel lines have the same slope. This means we must see the same coefficient of x in both equations. Both of these two equations have a coefficient of -3 on x.
Answer:
(2,0) and (4,0)
Step-by-step explanation:
The roots of the parabola are the points where the value of the function is zero, i.e., where the graph crosses the x-axis.
(2,0) and (4,0)
Answer:
The reasonable prediction for successful rolls is 4.
Step-by-step explanation:
Assuming the rolling cube is a fair 6 sided cube, so the probability of success of one roll is given as


The total success is given as

For 24 rolls it is given as

So the reasonable prediction for successful rolls is 4.