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:
brainly.com/question/3969582
#LearnwithBrainly
10. 8 divided by 4 is 2 times 2 is 4 8 plus 6 minus 4 is 10
In mathematics, 'is' would be the equal sign. And 'of' would be the multiplcation sign. The missing number would be any variable.
56 is 28% of a number would be translated algebraically to:

Solving for x, we get:

Divide 28 on both sides

Multiply 100 on both sides
56 is 28% of 200
<span>10p+5=18p-6/2
10p + 5 = 18p -3
10p - 18 p = -3 -5
-8p = -8
p = -8/-8
p =1</span>
The cuic equation is -1 and 2i