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.
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Answer:
Below
Step-by-step explanation:
sin 32 = d / 500
Cross multiply:
d = 500 * sin 32 = 275.71 feet.
He went wrong by dividing by sin 32 instead of multiplying.
He should have cross multiplied.
9514 1404 393
Answer:
about 28.6%
Step-by-step explanation:
The conditional probability equation can be used:
P(arrested | not in jail) = P(arrested & not in jail)/P(not in jail)
= 0.24/0.84 = 2/7 ≈ 28.6%
Let the marks of the students in class 1 be
the average of these 12 marks is 90, so
which means
similarly, let
be the marks of the students in the second class,
so
which means
The 32 students averaged:
Angle 8 and Angle 3 are supplementary same side angles
