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velikii [3]
3 years ago
9

An engineer makes a model of a bridge using a scale of 1 inch = 3 yards. The length of the actual bridge is 50 yards. What is th

e length of the model?
Mathematics
2 answers:
Scrat [10]3 years ago
8 0

Answer:

16\frac{2}{3}\approx 16.67 inches.

Step-by-step explanation:

We have been given that an engineer makes a model of a bridge using a scale of 1 inch = 3 yards. The length of the actual bridge is 50 yards.

To find the length of the model, we will use proportions as:

\frac{\text{Length of model}}{\text{Actual length}}=\frac{1\text{ inch}}{\text{3 yards}}

\frac{\text{Length of model}}{50\text{ yards}}=\frac{1\text{ inch}}{\text{3 yards}}

\frac{\text{Length of model}}{50\text{ yards}}*50\text{ yards}=\frac{1\text{ inch}}{\text{3 yards}}*50\text{ yards}

\text{Length of model}=\frac{50}{3}\text{ inch}

\text{Length of model}=16\frac{2}{3}\text{ inch}

Therefore, the length of model is 16\frac{2}{3}\approx 16.67 inches.

AlladinOne [14]3 years ago
7 0
<span>16.6666666667 
 
To solve the problem, do 50 divided by 3. This will give you how many inches the model is.


</span>
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Step-by-step explanation:

When your desired form is expanded, it becomes ...

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_____

<em>Additional comment</em>

If you know beforehand that the expressions can be factored this way, finding the two constants (a, b) is an almost trivial exercise. It gets trickier when you're trying to write a general expression in vertex form (this form with an added constant). For that, you must develop the value of b from the coefficient of the linear term inside parentheses.

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