9514 1404 393
Answer:
(8.49; 225°)
Step-by-step explanation:
The angle is a 3rd-quadrant angle. The reference angle will be ...
arctan(-6/-6) = 45°
In the 3rd quadrant, the angle is 45° +180° = 225°.
The magnitude of the vector to the point is its distance from the origin:
√((-6)² +(-6)²) = √(6²·2) = 6√2 ≈ 8.4859 ≈ 8.49
The polar coordinates can be written as (8.49; 225°).
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<em>Additional comment</em>
My preferred form for the polar coordinates is 8.49∠225°. Most authors use some sort of notation with parentheses. If parentheses are used, I prefer a semicolon between the coordinate values so they don't get confused with an (x, y) ordered pair that uses a comma. You need to use the coordinate format that is consistent with your curriculum materials.
Answer:
14.225 kilometers.
Step-by-step explanation:
Monday 3.6
Tuesday 4.705
Wednesday 5.92
By using the addition operation, the total distance, in kilometers, that Andrea ran over the three days will be :
3.6 +4.705 +5.92=14.225
Hence, the total distance that Andrea ran over the three days = 14.225 kilometers.
Answer:
The best estimate is greater than 1/2 but less than 3/4
Step-by-step explanation:
If you multiply 1/4 by 3/3 (which is also 1), you can change the denominator without changing the value. So 1/4 is equal to 3/12.
Since keith has 11/12 hours to play, and he has already played 3/12 hours, subtract 3/12 from 11/12 to get 8/12 hours. This is how much time he has left to play.
If you simplify 8/12 hours, you get 2/3 hours.
So the best estimate would be: greater than 1/2 but less than 3/4.
Answer:
6.224 x 10^3 Hope this helped out :)
Step-by-step explanation:
Move the decimal so there is one non-zero digit to the left of the decimal point. The number of decimal places you move will be the exponent on the
10
.If the decimal is being moved to the right, the exponent will be negative. If the decimal is being moved to the left, the exponent will be positive.
then you end up getting 6.224 x 10^3
LUFFY to the right and LUFFY to the left
