The magnitude and the direction angle for the resultant vector are 10N and 120degrees respectively
The formula for calculating the resultant vector is expressed as:

Given the following distances:
u = -5√3 feet (west direction)
v = 5 feet
Substitute the given values into the formula above;

The magnitude of the resultant vector is 10feet
Get the direction:

Since tan is negative in the second quadrant, hence;

Hence the magnitude and the direction angle for the resultant vector are 10N and 120degrees respectively.
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Answer:
21.4 * 10^(-5)
Step-by-step explanation:
Answer:
Step-by-step explanation:
To obtain the strongest mix :
Maria:
2 cups of concentrate ; 5 cups of water
Ratio = 2/5 = 0.4 concentrate per 1 cup of water
Laurie:
3 cups of concentrate ; 7 cups of water
Ratio = 3/7 = 0.4285714 concentrate per 1 cup of water
0.4285714 > 0.4
Hence, Laurie's mix is the strongest as it has higher concentrate per cup of water.