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 = .
Converse (switch p and q)
If an angle is obtuse, then it measures 128°
This is false (a 127° angle is obtuse, but it does not measure 128°)
_____________________________________________________________
Inverse (negations of p and q)
If an angle does not measure 128°, then it is not obtuse
This is false (a 127° angle does not measure 128°, but it is obtuse)
_____________________________________________________________
Contrapositive (negations of p and q, then switch their places)
If an angle is not obtuse, it does not measure 128°
This is true (any 128° is obtuse; no exceptions)
2(-11)-19
-22-19
-41
D is the answer
Brooke is 8 years old! This is what I did⬇️
5x2=10. (In 5 yrs 10 will add to the sum of their age.
29-10=19. (The sum of their ages right now is 19)
11 + 8 = 19 ( 11 is 3 more than 8 and it equals their ages together)
Brooke:8
Samantha:11
9514 1404 393
Answer:
C. y = 50x + 3.5
Step-by-step explanation:
100 miles in 2 hours is 100/2 = 50 miles per hour. Multiplying that rate by x hours gives the miles traveled in addition to the 3.5 miles so far. The appropriate equation for miles traveled is ...
y = 50x +3.5 . . . matches choice C
