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guapka [62]
3 years ago
7

Joey wants to build a rectangular garden. He plans to use a side of a river for one side of the garden, he will not place fencin

g along this side of the garden. He has 92 yards of fencing material. What is the maximum area that will be enclosed

Mathematics
2 answers:
Anna007 [38]3 years ago
8 0

Answer:

Just took it!

Step-by-step explanation:

jonny [76]3 years ago
4 0

We let x and y be the measures of the sides of the rectangular garden. The perimeter subtracted with the other side should be equal to 92.

<span>                                                       2x + y = 92</span>

The value of y in terms of x is equal to,

<span>                                            y = 92 – 2x</span>

The area is the product of the two sides,

<span>                                                                        A = xy</span>

Substituting,

<span>                                                            A = x (92 – 2x) = 92x – 2x2</span>

Solving for the derivative and equating to zero,

<span>                                                            0 = 92 – 4x  ; x = 23</span>

Therefore, the area of the garden is,

<span>                                                            A = 23(92 – 2(23)) = 1058 yard<span>2</span></span>

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The population density of Flint County is 225 residents/mile2. The area of Flint County is 300 mile2. Find the population of Fli
Reptile [31]

Answer:

67,500 residents

Step-by-step explanation:

The population density is defined as the average number of people living per square unit area.

-Given the density is 225res/sq mile and the area is 300 sq mile, the area's population is:

\rho=\frac{Population}{Area}\\\\Population=Area \times \rho\\\\=300 \ mi^2\times 225\ res/mi^2\\\\=67500\ residents

Hence, there are 67,500 residents in Flint county.

5 0
3 years ago
There are 13 students in a​ class: 8 are wearing all blue and 5 are wearing all green. The teacher assigns seats at random. How
Ulleksa [173]

Using the arrangements formula, the number of distinct seating arrangements is:

1287.

<h3>What is the arrangements formula?</h3>

The number of possible arrangements of n elements is given by the factorial of the number n, that is:

A_n = n!

When elements are divided and classified with repetition, the number of arrangements is given as follows:

A_n^{n_1, n_2, \cdots, n_n} = \frac{n!}{n_1!n_2! \cdots n_n}

In the context of this problem, the parameters are given as follows:

  • n = 13, as there are 13 students in the class.
  • n_1 = 8, as 8 of the students are wearing all blue.
  • n_2 = 5, as 5 of the students are wearing all red.

Hence the number of distinct seating arrangements is calculated as follows:

A_{13}^{8,5} = \frac{13!}{5!8!} = 1287

More can be learned about the arrangements formula at brainly.com/question/20255195

#SPJ1

8 0
1 year ago
50√•15 I need help pls​
Marat540 [252]

Answer: 193.6491673

Step-by-step explanation:

8 0
3 years ago
Lisa bought a new backpack for $25.56, 3 notebooks for $.75 each and a pack of pencils for $1.85. The tax rate is 6%. How much d
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Answer:$237.53

Step-by-step explanation:If you add 25.56+3 that will give you 28.56.Then if you add 28.56+75 that will give you 103.56.Then if you add 103.56+1.85 that will give you 105.41.Finally, you add 28.56+103.56+105.41 that will give you 237.53.And that's your answer.

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3 years ago
Y’all I am struggling. Help me out please I’ll give 15 points! #7
sweet [91]
Since the angles in triangle ACM indicate that it is a 30-60-90 triangle, we know that the other two sides of triangle ACM are 20 and 10 (30-60-90 triangles have a very specific side coefficient). This means that the sides of this triangle have side lengths 40, 10, and 20\sqrt{3}. Adding these together you get 50+20\sqrt{3}. Hope this helps!
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