Answer:
13/18 will be the possibilities of the next train arriving on time.
Step-by-step
I got 8
because 16-8 equals 8
Answer:
Δs=10m
5m/s
Step-by-step explanation:
s=t²+3t +5,0<=t<=2
Let f(t)=s=t²+3t +5
The displacement of the body over the time interval from 0 to 2 is
Δs=f(2)-f(0)
Δs=(2²+3(2) +5) - (0²+3(0) +5)
Δs=10m
The average velocity of the body over the time interval from 0 to 2 is
displacement / travel time =Δs/Δt
=10 / 2
=5m/s
<span>at the values x = –4 or x = 2.</span>
The measure of the angle created by the car's turning is 105°
Step-by-step explanation:
Given : a car is traveling east on 4th Street and turns onto King Avenue heading northeast.
We have to calculate the measure of the angle created by the car's turning.
Since, car is travelling in east direction on 4th street that is from A to D as shown below in image by arrow.
Then at point B, the car turns toward King Avenue heading northeast. that is B to C as shown below in image
Since, we need to calculate the measure of the angle created by the car's turning that is measure of ∠ABC.
AD is a straight line, thus measure of any angle at line segment AD is 180° as angles on one side of a straight line always add to 180 degrees
Therefore, at B,
∠ABC + ∠CBD = 180°
Aldo given , ∠CBD = 75°
Thus, the measure of ∠ABC is ,
⇒ ∠ABC = 180° -∠CBD
⇒ ∠ABC = 180° - 75°
⇒ ∠ABC = 105°
Thus, the measure of the angle created by the car's turning is 105°
