Ratio of cat : to dog = 40 : 20 = 2:1
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 Striped and 10 Flowered
Step-by-step explanation:
This can best be determined using a set of linear equations that are solved simultaneously.
This pair of linear equations may be solved simultaneously by using the elimination method. This will involve ensuring that the coefficient of one of the unknown variables is the same in both equations. It may be solved by substitution in that one of the variable is made the subject of the equation and the result is substituted into the second equation
Given that the green and blue striped shirt is $15 and the white with purple flowers is $13. She needs to order 24 shirts and has a total of $340 to spend, let the number of striped shirts be g and that of flowered be h then,
g + h = 24 and
15g + 13h = 340
g = 24 - h
15(24 - h) + 13h = 340
360 - 15h + 13h = 340
2h = 20
h = 10
g = 24 - h
g = 24 - 10
= 14
Answer:
Step-by-step explanation:
5, -4
5-4=1
5(-4)=-20
Answer:
0.0660 = 6.60 x 10-2
Step-by-step explanation: