Answer:
Final distance from the origin: 10.82 km. the vector points as shown in the attached image.
Angle with respect to the east: 
Explanation:
Please refer to the attached image. The cyclist's trip is indicated with the green arrows (9 km to the north followed by 6 km to the east.
So his final position is at the tip of this last vector, and indicated by the orange vector drawn form the point where the trip starts to the cyclist's final location.
We observe that this orange vector is in fact the hypotenuse of a right angle triangle, and we can estimate the distance from the origin by the Pythagorean theorem:
Notice that this is NOT the actual number of km that the cyclist pedaled to reach the final point.
Now, to find the value of the angle 
, we need to use trigonometry, and in particular the tangent function gives us the ratio between the side of the triangle "opposite" to the angle, divided the side "adjacent" to the angle:
Now we can find the value of the angle by using the arctan function:
Answer:
(b) the point charge is moved outside the sphere
Explanation:
Gauss' Law states that the electric flux of a closed surface is equal to the enclosed charge divided by permittivity of the medium.
According to this law, any charge outside the surface has no effect at all. Therefore (a) is not correct.
If the point charge is moved off the center, the points on the surface close to the charge will have higher flux and the points further away from the charge will have lesser flux. But as a result, the total flux will not change, because the enclosed charge is the same.
Therefore, (c) and (d) is not correct, because the enclosed charge is unchanged.
Answer:
what that guy said
Explanation:
because he provides evidence
The formula for the voltage is shown below:
Voltage = Current x Resistance
V=I x R
When we change voltage:
I =V/R or R=V/I
Increasing the voltage in an electrical circuit will also increase the current value, as well as the resistance of the load,
Answer:
2 min 40 s.
Explanation:
Distance = 800 ft
Speed (walking speed) = 300 ft/min
Speed = distance/time
Time, t = 800/300
= 8/3
= 2 min 40 s.
