The amount of paper recycled is directly proportional to the number of trees that recycling saves. If recycling 2,000 pounds of
1 answer:
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Answer:
B
Step-by-step explanation:
using the tangent ratio on the triangle on the right and the exact value
tan60° = , then letting the altitude be h
tan60° = =
=
( multiply both sides by h )
11 = h ×
( divide both sides by
)
11 = h
using the sine ratio in the triangle on the left and the exact value
sin45° = , then
sin45° = =
=
=
( cross- multiply )
× x = 22
( divide both sides by
)
x = 22
1. Take an arbitrary point that lies on the first line y=3x+10. Let x=0, then y=10 and point has coordinates (0,10).
2. Use formula to find the distance from point
to the line Ax+By+C=0.
The second line has equation y=3x-20, that is 3x-y-20=0. By the previous formula the distance from the point (0,10) to the line 3x-y-20=0 is:
.
3. Since lines y=3x+10 and y=3x-20 are parallel, then the distance between these lines are the same as the distance from an arbitrary point from the first line to the second line.
Answer: .