yes it is because prime numbers are 2 ,3 , 5 ,7
Magnitude of the net displacement: 7.0 miles
Step-by-step explanation:
In order to find the total displacement of the man, we have to resolve each displacement along the x- and y- direction.
Taking x as positive x direction and y as positive north direction:
- The first motion is 3 miles due east, so

- The second motion is 5 miles at
east of north, so:

So the components of the net displacement are

And so the magnitude of the net displacement is

So, he is 7.0 miles far from the house.
Learn more about distance and displacement:
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Additive identity property I believe
The area of the square is obtained by taking the square of the length of one side. Since it is said that the area of the square is less than 100 m^2, taking the square root of that where: sqrt (100) = 10, the side of that square should be less than 10 as well. Among the choices, D. 0 <y <10 (where y = length of side of square) is the correct answer.