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Lina20 [59]
4 years ago
15

A house boat sailed 30 miles Downstream in 3 hours and return to the same Marina Upstream in 5 hours. Find the rate of the house

boat in still water and the rate of the current in the water.
Mathematics
1 answer:
azamat4 years ago
8 0

Answer:

  • houseboat speed: 8 mph
  • current speed: 2 mph

Step-by-step explanation:

The downstream speed is ...

  speed = distance/time = 30 mi/(3 h) = 10 mi/h

The upstream speed is ...

  distance/time = 30 mi/(5 h) = 6 mi/h

__

The downstream speed is the sum of boat speed (b) and current speed (c):

  b + c = 10

The upstream speed is their difference:

  b - c = 6

Adding these two equations gives ...

  2b = 16

  b = 8 . . . . . boat speed is 8 mph

Then the current speed is ...

  c = 10 -b = 10 -8 = 2 . . . . . current speed is 2 mph

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Help urgent, which functions are bounded below but not above? Choose all answers that apply.
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c, e, f, and i

Step-by-step explanation:

a. is bounded above at y = 1 and below at y = 0

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Step-by-step explanation:

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3 years ago
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PQ is rotated 180 degrees clockwise about P. What are the coordinates of P' and Q'?
Salsk061 [2.6K]

The co ordinates of P' is (-7,-2) and Q' is (-16, -8)

<u><em>Explanation</em></u>

PQ is rotated 180 degrees clockwise about P. It means <u>P and P' are the same points</u>.

According to the graph, the coordinates of P is (-7, -2) and  Q is (2, 4)

When PQ is rotated 180 degrees clockwise about P, then <u>P or P' will be the mid-point of Q and Q' </u>

Suppose, the co ordinate of Q' is (x, y)

Now according to the mid-point formula, the coordinate of P or P' will be: (\frac{x+2}{2},\frac{y+4}{2}) , which is actually at (-7, -2)

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