The resultant is 732.7 km/h on a heading 5.5° west of north.
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Some graphing calculators handle vector addition better than others. For this TI-83/84, it is convenient to define the variable D as π/180, so it converts degrees to radians. The resulting exponential shows the angle in degrees because the calculator is in Degrees mode.
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Answer : There are 6 of it.
Hope this helps. - M
Let be the first term in the series and the common ratio. Then the infinite series converges to
Removing the first three terms from the left side effectively multiplies the right side by 27, so
By elimination,
Solve for . We can eliminate so that
To add fractions, they must have the same bottom number (denominator).
Let's choose a new denominator to change all of these fractions to. It should be divisible by all of the previous denominators.
12 is good, since it can be divided by 6, 4, and 12.
Now we need to change these fractions into a denominator of 12.
Let's start with 7/6.
We can multiply the numerator (top) and denominator by the same number and still have the same fraction, so what we do is
a. Notice that 6 has to be multiplied by 2 to get to 12.
b. Multiply the top and bottom of 7/6 by 2, showing tht 7/6 = 14/12.
Now for the rest.
1/4...4 needs to be multiplied by 3.
1/4 = 3/12
7/12 already has the right denominator.
Now, we can add up our fractions!
14/12 + 3/12 + 7/12
Just add together the numerators.
24/12
This can be simplified! The top and bottom are both divisible by 12, so...
24/12 = 2/1
And of course a "divided by 1" is redundant, so our answer can just be 2.
Answer:
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