If . he will use the wall of the garage as one side of the pen and will construct the rest of the rectangular pen from 28 yards of fencing. The maximum area that can be achieved for the dog pen is: 392 yards².
<h3>Maximum area </h3>
Let x represent the width of the fence
Let the two widths represent 2x
Let the length of one side represent 28-x
Let A represent Area
Hence,
A=x(28-x)
=-x²+28x
Using calculus or vertex = -b/2a,
x value = -28/-2
x = 14
2x = 28
So,
Maximum area= 14 ×28
Maximum area = 392 yards²
Therefore the maximum area is 392 yards².
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Answer:
0.293263 rounded to the ten thousandths place
=0.2933
Answer:
Income tax refers to money the company owes based on its earnings. Sales tax refers to money the company collects from customers and sends to the state tax collector. Payroll taxes refer to money the company owes based on the wages it pays its employees.
Step-by-step explanation:
Answer:
9/4 as a fraction or 2.25 as a decimal
Step-by-step explanation:
Answer:
Use Heron's formula; see below.
Step-by-step explanation:
Use Heron's formula.
Let the sides of the triangle have lengths a, b, and c.
![s = \dfrac{a + b + c}{2}](https://tex.z-dn.net/?f=%20s%20%3D%20%5Cdfrac%7Ba%20%2B%20b%20%2B%20c%7D%7B2%7D%20)
![area = \sqrt{s(s - a)(s - b)(s - c)}](https://tex.z-dn.net/?f=%20area%20%3D%20%5Csqrt%7Bs%28s%20-%20a%29%28s%20-%20b%29%28s%20-%20c%29%7D%20)
Example:
A triangle has side lengths 3, 4, and 5 units.
Find the area of the triangle.
![s = \dfrac{a + b + c}{2}](https://tex.z-dn.net/?f=%20s%20%3D%20%5Cdfrac%7Ba%20%2B%20b%20%2B%20c%7D%7B2%7D%20)
![s = \dfrac{3 + 4 + 5}{2}](https://tex.z-dn.net/?f=%20s%20%3D%20%5Cdfrac%7B3%20%2B%204%20%2B%205%7D%7B2%7D%20)
![s = 6](https://tex.z-dn.net/?f=%20s%20%3D%206%20)
![area = \sqrt{s(s - a)(s - b)(s - c)}](https://tex.z-dn.net/?f=%20area%20%3D%20%5Csqrt%7Bs%28s%20-%20a%29%28s%20-%20b%29%28s%20-%20c%29%7D%20)
![area = \sqrt{6(6 - 3)(6 - 4)(6 - 5)}](https://tex.z-dn.net/?f=%20area%20%3D%20%5Csqrt%7B6%286%20-%203%29%286%20-%204%29%286%20-%205%29%7D%20)
![area = \sqrt{6(3)(2)(1)}](https://tex.z-dn.net/?f=%20area%20%3D%20%5Csqrt%7B6%283%29%282%29%281%29%7D%20)
![area = \sqrt{36}](https://tex.z-dn.net/?f=%20area%20%3D%20%5Csqrt%7B36%7D%20)
![area = 6](https://tex.z-dn.net/?f=%20area%20%3D%206%20)