Answer:
the slope simplify your answer 16
When finding the area of a triangle, you always divide the product by 2 because a triangle is half a square.
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: three pieces.
The piece of wood is 6/8 inches long - this fraction can be simplified to 3/4 by dividing both the numerator and denominator by 2.
Thus, he cuts a piece of wood that is 3/4 inches long into 1/4 inch pieces.
1 goes into 3 three times, so the piece of wood can be cut into three 1/4-inch pieces.
