Answer:
-2 m/s^2
Step-by-step explanation:
Just as you would calculate the velocity when a body moves from point A to point B in a time T, we are going to calculate the acceleration as the difference of the velocities (final - initial) and divide it by the time it took:
Velocity_final = 10 m/s
Velocity_initial = 20 m/s
Time = 5 s
acceleration = (Velocity_final - Velocity_inital)/Time
= (10 m/s - 20 m/s)/5 s
= (-10 m/s) / 5s
= -2 m/s^2
The acceleration in m/s^2 is -2
1- Price of each carton:
Since they both bought different number of cartons of milk from the same store, we can simply find the price of one carton from the difference between what they both paid.
Since Tamara paid 3$ and Toe paid 3.75$, we can simply say that one carton of milk costs 0.75$ and that Toe bought one carton more than Tamra.
2- How many cartons each bought:
Tamra bought : 3 / 0.75 = 4 cartons
Toe bought : 3.75 / 0.75 = 5 cartons
Divide the angle into two equal (congruent) parts without actually measuring the angle.
Answer:
1st graph: x ≤ -5
2nd graph: x > -5
3rd graph: x ≥ -5
4th graph: x > 5
Step-by-step explanation:
For this case we use the following formula
Area of Sector = Area * radians of sector / 2 * pi radians
Where,
Area: it is the area of the complete circle.
We have then:
Area = pi * r ^ 2
Area = pi * (6) ^ 2
Area = 36pi
Substituting values:
5pi = 36pi * radians of sector / 2 * pi
Clearing:
radians of sector = ((5pi) * (2pi)) / (36pi)
radians of sector = (10pi ^ 2) / (36pi)
radians of sector = (10pi) / (36)
radians of sector = (10/36) pi
radians of sector = (5/18) pi
in degrees:
(5/18) pi * (180 / pi) = 50 degrees
Answer:
The measure of the central angle is:
50 degrees
