<span>place value of the 6 in the number 96,745 is 6,000</span>
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:
1 x 10^21
Step-by-step explanation:
The initial number (2 x 10^4) is in scientific notation. Scientific notation must be written as: a X 10^n, where 0<a<10 and n is an integer. In this case, the number in scientific notation is being raised to the power of 5. When we raise a power by another power, we must multiply the power of all the terms by the additional power. In this case, we would get 2^5 x 10^20, this would be 10 x 10^20. Since the value of 'a' needs to be greater than 0 and less than 10, we need to move the decimal to the left and add another power to our 10: 1 x 10^21.
