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Answer:
The answer is D.
Step-by-step explanation:
4/3 x - 4 = 5 + x
4/3 x = 9 +x
1/3 x = 9
x = 27
The border will have to be 33b - 8
Step-by-step explanation:
Antoine is making a banner in the shape of a triangle
- He wants to add a decorative border around the edges
- The length of the three sides of the triangle are 9b + 8, 12b - 8 and 12b - 8
We need to find the length of the border
The length of the border is the sum of the lengths of the three sides of the triangle
∵ The length of one side = 9b + 8
∵ The length of another side = 12b - 8
∵ The length of the final side = 12b - 8
- Add the lengths of the 3 sides to find the length of the border
∴ The length of the border = 9b + 8 + 12b - 8 + 12b - 8
- Add like terms
∴ The length of the border = (9b + 12b + 12b) + (8 - 8 - 8)
∴ The length of the border = 33b - 8
The border will have to be 33b - 8
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Answer:

Step-by-step explanation:
300 degrees is in the fourth quadrant (it's between 270 and 360); sine is negative in the fourth quadrant.
Given we're in the fourth quadrant, the reference angle is 360 - 300 = 60 degrees
sin(60°) =
And since sine is negative, this value turns negative:
sin(300°) = 