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Reptile [31]
3 years ago
14

The scale drawing represents an existing barn. The shortest side of the barn measures 150 meters. If a new barn that is 2/3 its

size replaces the existing barn, what will be the scale of this drawing to the new barn?
Mathematics
1 answer:
Snezhnost [94]3 years ago
5 0

Answer:

1:1.5

Step-by-step explanation:

We have that 150 meters in the reality and the new size in the drawing is 2/3, therefore

150mtrs(old) * 2/3 = 100mtrs(new), also 100 mtrs. in the drawing are 150mtrs. in the reality or 1 is to 1.5

1:1.5

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3 years ago
The equation d=0.05v2+1.1v models the distance, d, that it takes are car traveling v miles per hour to come to a complete stop.
liq [111]

Answer:

  • <u>Hannah was not speeding because her speed was about 61 mph, which is below the speed limit.</u>

Explanation:

Just to correct some typos, this is the complete question:

<em />

<em>The equation d=0.05v² +  1.1v models the distance, d, that it takes a car traveling at a speed of v miles per hour to come to a complete stop. If Hannah’s car stopped after travelling 250 feet on a highway with a speed limit of 65 mph, was Hannah speeding? Explain using math whether she was speeding and how you know.</em>

<em />

<h2>Solution</h2>

<em />

To find whether Hannah was speeding, you must find the velocity that is solution for the equation:

  • 250=0.05v² +  1.1v

<em />

Write it in standard form:

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Use the quadratic formula:

       v=\dfrac{-1.1\pm\sqrt{(1.1)^2-4(0.05)(-250)}}{2(0.05)}

      v=\dfrac{-1.1\pm 7.1561}{0.1}

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