A boat moves 15.0 km across a lake in 30.0 min. what was the average speed of the boat in kilometers per hours?

Mathematics

1 answer:

Katen [24]3 years ago

4 0

To work out the average speed you would have to use the formula

AS = 15.0 ÷ 30.0 = 0.5 which is distance divided by time.

The you would do 0.5 x 60 = 30 (60 minutes = 1 hour)

So the average speed would be 30.0 km/h.

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A boat leaves a dock and travels 9 miles due north and 12 miles due west. Find how far the boat is from the dock. Type the corre

adelina 88 [10]

Answer:

15 miles

Step-by-step explanation:

Let's say the dock is at the origin on a coordinate plane and each unit is 1 mile. If the boat travels 9 mile due north, that means that we move up from the origin (0, 0) 9 units to point A (0, 9). Now, this boat moves 12 miles due west, so we will go 12 units to the left of (0, 9) to point B (-12, 9). See the attached drawing (sorry for the crudeness).

Notice that this is a right triangle with legs of 9 and 12. That means the distance from the boat to the dock is just the hypotenuse, so use the Pythagorean Theorem: distance = $\sqrt{9^2+12^2} =\sqrt{81+144} =\sqrt{225} =15$