Answer:
a. 7.64 km/h
b. 6.0°
c. see below
Step-by-step explanation:
a) The total velocity of the boat is ...
7i +(0.6i +0.8j) = 7.6i +0.8j
The magnitude of this velocity is the speed of the boat, relative to land. That is given by the Pythagorean theorem.
|7.6i +0.8j| = √(7.6² +0.8²) = √58.4 ≈ 7.642 . . . . km/h
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b) The angle of the total velocity with respect to the "i" direction (the direction of vector v) is ...
α = arctan(0.8/7.6) ≈ 6.009°
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c) The boat is headed in a direction 6° different from its velocity relative to the water. That may need to be accounted for if the boat is traveling any significant distance.
Answer:
79 dollars
Step-by-step explanation:
a = 51 + b
Substitute the number of books, 28, he sold into the equation and solve for his earnings.
a = 51 + b
a = 51 + 28
a = 79
The answer is A.
This is because when translating up, you will add to the end of the equation the amount that the graph has been translated up. Hope this helps!
Answer:B 55
Step-by-step explanation:
Answer:
1 hour and 7.5 minutes
Step-by-step explanation:
We have the following information:
Jose makes 1 / 1.5 of the job per hour. It is his rate of work in addition to that the partner makes 1 / 4.5 of the job per hour. It is his rate of work.
Thus:
1 / 1.5 + 1 / 4.5 = 1 / x
0.8898 = 1 / x
x = 1 / 0.8888
x = 1.125
Hence, it will take 1 hour and 7.5 minutes for them to complete the job working together.
