Answer: 25%
Step-by-step explanation: To write a fraction as a percent, first remember that a percent is a ratio of a number to 100. If we want to write 1/4 as a percent, we need to find a fraction equivalent to 1/4 with a 100 in the denominator. We can do this by setting up a proportion.
=
Now, we can use cross products to find the missing value.
4n = 100
÷4 ÷4 ← divide by 4 on both sides
n = 25
Therefore, 1/4 is equivalent to 25%.
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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