Answer:
1.59 m/s²
Step-by-step explanation:
Acceleration = change in Velocity over time. Mathematically it is represented as Δv/Δt
Given values in the question:
- Final velocity 203.0 km/h which is equal to (203/3.6)m/s = 56.39 m/s
- distance 2000 m
- Initial velocity is 0 m/s
<em>To use the equation for acceleration time is needed.</em>
<em>velocity= distance/time</em>
(203/3.6) = 2000/time <em>mltiplying both sides by time</em>
(203/3.6) x time = 2000 <em>making time subject of the formula</em>
time = 2000/(203/3.6)
time = 35.47 seconds
Substituting into the acceleration equation
acceleration =Δv/Δt
=(56.39- 0)/35.47
= 56.39/35.47
=1.59 m/s²
Answer:
-37x+26
Step-by-step explanation:
The x-coefficients have the sequence ...
-2, -7, -12, ...
which has first term -2 and common difference of (-7 -(-2)) = -5. Then the 8th x-coefficient is ...
-2 + (-5)(8 -1) = -37
__
The constants have the sequence ...
5, 8, 11, ...
which has first term 5 and common difference 8 -5 = 3. Then the 8th constant term is ...
5 +(3)(8 -1) = 26
The 8th term of the sequence is -37x +26.
_____
The general term of an arithmetic sequence with first term a1 and common difference d is ...
an = a1 +d(n -1)
In the above, we have used n=8 to find the 8th term.
2(x+y)=24
2x=y
Use substitution. If y=2x, than we can substitute 2x for it in the other equation, because x and y equal the same things in both equations.
So using that we get 2(x+2x)=24
SIMPLIFY
2(3x)=24
DISTRIBUTE
6x=24.
DIVIDE: x=4.
If we substitute x into the original equations we get x=4 and y=8. Those are your two numbers.
Have a nice day! :)
3/10 is the probability of winning
Answer:
613 meters
Step-by-step explanation:
1)
cos(50 degrees)=324/x
x*cos(50 degrees)=324
x=324/cos(50 degrees)
x=around 504.1
2)
cos(35 degrees)=324/x
x*cos(35 degrees)=324
x=324/cos(35 degrees)
x=around 395.5
now lets find the distance in between the two people:
Distance from Shively to the tower
tan(50 degrees)=x/324
x=324*tan(50 degrees)
x= around 386.1
Distance from Sparzak to the tower
tan(35 degrees)=x/324
x=324*tan(35 degrees)
x=around 226.9
total distance=386.1+226.9=613 meters
