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3 years ago

A contractor is paving 1 mile 201.25 yards of a county road. How long is this portion of the road in feet and inches?

Mathematics

1 answer:

Natali5045456 [20]3 years ago

5 0

A contractor is paving 1 mile 201.25 yards of a county road

Given distance is 1 mile and 201.25 yards

First we will convert 1 mile in feet.

1 mile = 5280 feet

Now we will convert 201.25 yards in feet

1 yard = 3 ft

201.25 yards = $201.25\times3=603.75$ feet

So total distance in feet is = 5280+603.75 = 5883.75 feet

1 foot = 12 inches

0.75 feet = $12\times0.75=9$ inches

This is 5883 feet and 9 inches.

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3 years ago

This question has three parts. Answer the parts in order.

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Answer:

The area of the smallest section is $A_{1}=100yd^{2}$

The area of the largest section is $A_{2}=625yd^{2}$

The area of the remaining section is $A_{3}=250yd^{2}$

Step-by-step explanation:

Please see the picture below.

1. First we are going to name the side of the larger square as x.

As the third section shares a side with the larger square and the four sides of a square are equal, we have the following:

- Area of the first section:

$A_{1}=10yd*10yd$

$A_{1}=100yd^{2}$

- Area of the second section:

$A_{2}=x^{2}$ (Eq.1)

- Area of the third section:

$A_{3}=width*length$

$A_{3}=10yd*x$ (Eq.2)

2. The problem says that the total area of the enclosed field is 975 square yards, and looking at the picture below, we have:

$A_{1}+A_{2}+A_{3}=975yd^{2}$

Replacing values:

$100+x^{2}+10x=975$

Solving for x:

$x^{2}+10x-875=0$

$x=\frac{-10+\sqrt{100+(4*875)}}{2}$

$x=\frac{-10+\sqrt{3600}}{2}$

$x=\frac{-10+60}{2}$

$x=25$

3. Replacing the value of x in Eq.1 and Eq.2:

- From Eq.1:

$A_{2}=25^{2}$

$A_{2}=625yd^{2}$

- From Eq.2:

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$A_{3}=250yd^{2}$

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3 years ago

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Solving the inequality, it is found that the correct interpretation of the solution is:

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The amount x of miles they can still travel is modeled by the following inequality:

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To solve it, we treat it similarly to an equality, hence:

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A similar problem is given at brainly.com/question/11713066

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