Answer: 50
Step-by-step explanation: 1/4 = 50
2/4 = 100
3/4 = 150
4/4 = 200
Answer:
- 2. Rotate the triangle 90º clockwise about the origin and then translate it 10 units left and 9 units down.
Step-by-step explanation:
- <em>Easy way to take one of the vertices and apply the transformations</em>
1. Rotate the triangle 90º counterclockwise about the origin and then translate it 10 units left and 9 units down.
2. Rotate the triangle 90º clockwise about the origin and then translate it 10 units left and 9 units down.
- True
- (-3, 3) → (3, 3) → (3 - 10, 3 - 9) = (-7, -6)
3. Rotate the triangle 90º counterclockwise about the origin then translate it 1 unit up.
4. Rotate the triangle 90º clockwise about the origin then translate it 1 unit up.
Answer:
C. (8.5, 14.72)
Step-by-step explanation:
You can translate the coordinates using ...
(x, y) = (r·cos(θ), r·sin(θ))
Filling in the given polar coordinates, (r, θ) = (17, 60°), we have ...
(x, y) = (17·cos(60°), 17·sin(60°)
(x, y) = (8.5, 14.72)
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If you sketch the vector, you realize that the short side of the triangle (the x-coordinate) is half the length of the hypotenuse (17). This is because you recognize the side-length relationships in a 30°-60°-90° triangle. Only one answer choice shows that value.
