You’re given two side lengths of 3 centimeters and 5 centimeters. Which measurement can you use for the length of the third side
1 answer:
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Answer:
Here's what I get.
Step-by-step explanation:
The formula for rotation of a point (x,y) by an angle θ about the origin is
x' = xcosθ - ysinθ
y' = ycosθ + xsinθ
If θ = 270°, sinθ = -1 and cosθ = 0, and the formula becomes
x' = y
y' = -x
A: (-3,4) ⟶ (4,3)
B: (-1,2) ⟶ (2,1)
C: (-2,0) ⟶ (0,2)
The vertices of A'B'C' are (4,3), (2, 1), and (0, 2).
The Figure below shows the triangle before and after the rotation.
Answer: 17/18
In words, this is seventeen eighteenths
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Work Shown:
4/9 + 9/18
8/18 + 9/18 ... see note below
(8+9)/18
17/18
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note: To go from 4/9 to 8/18, we multiply top and bottom by 2. So that's why 4/9 = 8/18.
The diagram below shows a visual representation of why 4/9 = 8/18.
In the top row, I've drawn out 9 rectangles of the same size. Then I've shaded 4 of the 9 rectangles to represent the fraction 4/9. In the bottom row, I've cut each of those 9 rectangles into two smaller equal pieces, so we have 9*2 = 18 rectangles now. Note how the shaded regions are the same size, so this shows 4 green regions doubles to 2*4 = 8 yellow regions; therefore 4/9 is the same as 8/18.
