Divide 30 in the ratio into 3:2
1 answer:
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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:
<h2>x < 33.84</h2>Step-by-step explanation:
13.48x − 200 < 256.12
Using the addition property , add 200 to both sides
That's
13.48x + 200 - 200 < 256.12 + 200
13.48x < 456.12
<u>Divide both sides by 13.48</u>
We have the final answer as
x < 33.84 to the nearest hundredth
Hope this helps you