Pls help me!! Which two equations are equivalent? y= 1/2x+3 y=x+6 2y=x+6
2 answers:
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The displacement is 18.03 steps, and the direction is 47.25°
<h3>How to get the displacement?</h3>
We know that displacement is the difference between the final position and the initial position.
We assume the initial position (0, 0). Let's define the positive x-axis as the east and the positive y-axis as the north.
First, the student moves 8 steps east, so she is at:
(0 + 8, 0)
Then she moves 6 steps northeast, so the new position is:
(6*cos(45°) + 8, 6*cos(45°))
Finally, she moves 9 steps due north, so we have:
(6*cos(45°) + 8, 6*cos(45°) + 9)
Then the final position is:
(12.24, 13.24)
So the displacement is:
D = (12.24, 13.24) - (0, 0) = (12.24, 13.24)
The magnitude of the displacement is:
So the magnitude is 18.03 steps.
And the direction is given by the arctangent of the quotient between the y-component and the x-component:
If you want to learn more about displacements:
#SPJ1
Answer:
4/3 of an hour, or 1.33 hours
Step-by-step explanation:
It took Mike 1/3 of an hour to mow 1/4 of the yard. This means when it has been 1 full hour, he would have mowed 3/4 of the yard, because hour. Because of this, we can multiply 1/3 by 4, because he has to mow 4 parts of his lawn, and he can do 1 part in 1/3 of an hour.
hours