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DochEvi [55]
3 years ago
5

Give the rate in miles per hour round to the nearest tenth Rachel jogs 20 feet in three seconds

Mathematics
1 answer:
Ostrovityanka [42]3 years ago
7 0

Answer:

4.5 miles per hour is her rate in miles per hour

Step-by-step explanation:

We want to convert 20 ft per second to miles per hour

If she jogs 20 ft in 3 seconds , then in one second , she will jog 20/3 ft

So convert 20/3 ft/second to miles per hour

Mathematically;

1 mile = 5280 feet

So one feet = 1/5280 mile

1 hour = 3600 seconds

1 second = 1/3600 hour

So, to go from miles/hour to ft/second ; we shall multiply by 1/5280 and divide by 1/3600

Hence; we have;

(20/3 * 1/5280)/1/3600

= 20/3 * 1/5280 * 3600/1

= 4.4545 which is 4.5 miles per hour

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Step-by-step explanation:

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The volume of the rectangular prism is 648 feet. The rectangular base is 6 feet by 9 feet. What is the height of the prism?
IrinaK [193]

Answer:

h=12ft

Step-by-step explanation:

The formula one would use for finding the volume of a rectangular prism is as follows:

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With this in mind, let's plug in the given variables in the question for this formula.

V=648ft^3

l=6ft

w=9ft

h= ?

  • We don't know the height, but that's just fine. We will plug in all our values and isolate h.

V=lwh\\648ft^3=(6ft)(9ft)h

  • I'm leaving in units just because I want to show that units aren't just for show. They can be used when in doubt of how to go about your math.

648ft^3=(6ft)(9ft)h\\648ft^3=(54ft^2)h\\\frac{648ft^3}{54ft^2}=\frac{(54ft^2)h}{54ft^2}

  • Notice, that the units on the left side cancel out, leaving only the unit ft left next to the solution. In the same way, the units on the right side cancel out too, leaving only h, height.

\frac{648ft^3}{54ft^2}=\frac{(54ft^2)h}{54ft^2}\\12ft=h

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