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tiny-mole [99]
3 years ago
5

The length of a field in yards is a function f(n) of the length n in feet. Write a function rule for th

Mathematics
1 answer:
lara [203]3 years ago
3 0

Answer:

f(n) =  \frac{n}{3}

Step-by-step explanation:

Recall that:

3ft = 1 \: yd

This implies that:

6ft = 2yds

9ft = 3yds

In general:

n \: ft =  \frac{n}{3}  \:  \: yds

We can therefore write the function rule:

f(n) =  \frac{n}{3}

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Analyze the diagram below and complete the instructions that
Novosadov [1.4K]

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Answer:

  D.  x = 15; y = 5√3

Step-by-step explanation:

You don't need to know any trig to select the correct answer. You only need to know that the lengths of both sides must be less than the length of the hypotenuse. It is also helpful to know that √3 is about 1.732, so 10√3 ≈ 17.32.

Since x < 10√3, only answer choices A and D are viable.

Since y < 10√3, only answer choice D is viable.

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If you want to solve this using trig relations, you can recall that the sides of a 30°-60°-90° triangle have the ratios 1 : √3 : 2. This means short side y is half the length of the hypotenuse 10√3, so y = 5√3. It also means longer side x is √3 times y, so is x = (5√3)√3 = 5·3 = 15.

  x = 15; y = 5√3

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Over Thanksgiving Break Joshua drove from Connecticut to Ohio which is 422 miles. This trip took Joshua and his family six hours
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