Name the line and plane shown in the diagram.

1 answer:

7 0

<span>The correct answer is option C i.e. RS is the straight line and plane is RSU. Because both the points R and S are on a straight line , so the line is RS. And, there are two conditions for a plane to form: 1) Three non-collinear points, as R, S and U do not lie on the same line so they are non-collinear. And 2) A straight line and a point that does nt lie on the staright line. Here, the straight line is RS and the point is U.</span>

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Peter takes16 minutes longer to mow the lawn by himself than Charles . Together they can mow the lawn in 18 minutes. How long wi

lapo4ka [179]

Answer:

about 29.7 minutes

Step-by-step explanation:

If it take c minutes for Charles to mow the lawn by himself, it takes c+16 minutes for Peter. The two of them working together can mow in one minute this fraction of the entire lawn:

1/c + 1/(c+16) = 1/18

Multiplying by 18c(c+16), we get ...

18(c +16) + 18(c) = c(c+16)/18

36c +288 = c^2 +16c

c^2 -20c = 288 . . . . . subtract 36c

c^2 -20c +100 = 388 . . . . . add (20/2)^2 = 100 to complete the square

(c -10)^2 = 388

c = 10 +√388 ≈ 29.6977 . . . . . take the positive square root

It takes Charles about 29.7 minutes to mow the lawn by himself.

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djyliett [7]

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72

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2 years ago

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xxTIMURxx [149]

The answer is D. Three over two

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3 years ago

Problem page an item is regularly priced at $65 . it is on sale for 60% off the regular price. how much (in dollars) is discount

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Vinvika [58]

Answer:

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I hope this is good enough:

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3 years ago