Currently, there are 420 cars in the parking lot. Campus security needs the set up for an event. They have only ten minutes to m
1 answer:
Answer:
The number of cars to leave parking lot each min = 37
Step-by-step explanation:
Numbers of cars in parking lot = 420
Time required to make sure that parking lot have only 50 cars = 10 minutes
So ,number of cars to leave parking lot = 420 - 50 = 370
∵ 10 min required to leave number of cars = 370
∴ For 1 min , number of cars to leave = = 37
Hence The number of cars to leave parking lot each min = 37 Answer
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Answer:
Step-by-step explanation:
Component form of a vector is given by , where
represents change in x-value and
represents change in y-value. The magnitude of a vector is correlated the Pythagorean Theorem. For vector
, the magnitude is
.
190 degrees counterclockwise from the positive x-axis is 10 degrees below the negative x-axis. We can then draw a right triangle 10 degrees below the horizontal with one leg being , one leg being
, and the hypotenuse of the triangle being the magnitude of the vector, which is given as 9.
In any right triangle, the sine/sin of an angle is equal to its opposite side divided by the hypotenuse, or longest side, of the triangle.
Therefore, we have:
To find the other leg, , we can also use basic trigonometry for a right triangle. In right triangles only, the cosine/cos of an angle is equal to its adjacent side divided by the hypotenuse of the triangle. We get:
Verify that
Therefore, the component form of this vector is