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1 answer:
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Answer:
A function that gives the work required in foot-lbs to lift the bucket up x feet from the ground is and the work to get the bucket to the top of the cliff is 3726 foot-lbs
Step-by-step explanation:
Work done to lift the rope by distance x feet:
Work done to lift the bucket by distance x feet:
On reaching top 7 gallons of water spilled out so , on going up by x feet gallons of water spilled out.
a function that gives the work required in foot-lbs to lift the bucket up x feet from the ground:
Now the work to get the bucket to the top of the cliff i.e. x =35
W=3726
Hence, a function that gives the work required in foot-lbs to lift the bucket up x feet from the ground is and the work to get the bucket to the top of the cliff is 3726 foot-lbs
Answer:
Δ ABC and Δ DEF are similar because their corresponding sides are proportional
Step-by-step explanation:
Two triangles are similar if their corresponding sides are proportional which means the corresponding sides have equal ratios
In the two triangles ABC and DEF
∵ AB = 4 units
∵ DE = 2 units
∴
∵ BC = 6 units
∵ EF = 3 units
∴
∵ CA = 2 units
∵ FD = 1 units
∴
∴
∵ All the ratios of the corresponding sides are equal
∴ The corresponding sides of the two triangles are proportional
∴ Δ ABC is similar to Δ DEF