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larisa86 [58]
4 years ago
9

A bike ramp has a slope of 1/4. What is the angle the ramps makes with the ground to the nearest degree?

Mathematics
1 answer:
Alexus [3.1K]4 years ago
4 0

The slope is equivalent to the rise over run. Since the slope of the bike ramp is ¼, the rise is equivalent to 1 and the run is equivalent to 4. To get the angle of the bike ramp make with the ground, let us use the equation tanθ= rise/run.

Therefore, tanθ= ¼.  

Θ=tan-1 (1/4)

So the angle of the bike ramp is Θ= 14degrees

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Step-by-step explanation:

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2 years ago
Keenan will run 2.5 miles from his house to Jared’s house. He plans to hang out for 45 minutes before walking home. If he can ru
jenyasd209 [6]

Answer:

Kennan will be from home approximately an hour and 48 minutes.

Step-by-step explanation:

We must know that total time (t_{T}) that Keenan will be from home is the sum of run (t_{R}), hang out (t_{H}) and walk times (t_{W}), measured in hours:

t_{T} = t_{R}+t_{H}+t_{W}

If Keenan runs and walks at constant speed, then equation above can be expanded:

t_{T} = \frac{x_{R}}{v_{R}}+t_{H}+ \frac{x_{W}}{v_{W}}

Where:

x_{R}, x_{W} - Run and walk distances, measured in miles.

v_{R}, v_{W} - Run and walk speeds, measured in miles per hour.

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t_{T} = \frac{2.5\,mi}{6\,\frac{mi}{h} } + 0.75\,h+\frac{2.5\,mi}{4\,\frac{mi}{h} }

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Kennan will be from home approximately an hour and 48 minutes.

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3 years ago
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Answer:

Step-by-step explanation:

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The only way to get 40 cents with 3 coins is 1 quarter, 1 dime, and 1 nickel.

So you have 3 quarters = 75 cents.

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1 dime = 10 cents.

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