A gardener wants to fence in her plot in two equal rectangular sections. If she has 54 yards of fence and the area of the entire plot is 108 square yards, find the possible dimensions of the garden.

Answer:

INSPIRING

Step-by-step explanation:

If the sum of the squares of the two shorter sides of a triangle is greater than the square of the longest side, the triangle is acute. However, if the sum of the squares of the two shorter sides of a triangle is smaller than the square of the longest side, the triangle is obtuse. And if the sides satisfy the Pythagorean theorem, it is a right triangle.

1) 3:2

2) 3:2

3) 6:5

4)1:3

5) 3 feet

6) 56 correct answers

Solving the equation:-

[tex] \frac{N}{2} + 5 = 3 \\ \frac{N}{2} = 3 - 5 \\ \frac{N}{2} = ( - 2) \\ N = - 2 \times 2 \\ N = ( - 4) [/tex]

Check the picture below.

[tex]~\hfill \stackrel{\textit{\large distance between 2 points}}{d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2}}~\hfill~ \\\\[-0.35em] ~\dotfill\\\\ A(\stackrel{x_1}{1}~,~\stackrel{y_1}{-9})\qquad B(\stackrel{x_2}{8}~,~\stackrel{y_2}{0}) ~\hfill AB=\sqrt{[ 8- 1]^2 + [ 0- (-9)]^2} \\\\\\ AB=\sqrt{7^2+(0+9)^2}\implies AB=\sqrt{7^2+9^2}\implies \boxed{AB=\sqrt{130}} \\\\[-0.35em] ~\dotfill[/tex]

[tex]B(\stackrel{x_1}{8}~,~\stackrel{y_1}{0})\qquad C(\stackrel{x_2}{9}~,~\stackrel{y_2}{-8}) ~\hfill BC=\sqrt{[ 9- 8]^2 + [ -8- 0]^2} \\\\\\ BC=\sqrt{1^2+(-8)^2}\implies \boxed{BC=\sqrt{65}}[/tex]

now, we could check for the CA distance, however, we already know that AB ≠ BC, so there's no need.

Check the picture below.

so the prism is a "right square" prism, namely it has only right-angles and two of its faces are a square, namely the front and back.  We know it has a surface are of 220 cm², so let's check what the width "w" is first.

[tex]\stackrel{\textit{\huge surface area}}{\stackrel{\textit{front and back}}{2(5)(5)}~~ + ~~\stackrel{\textit{left and right}}{2(5)(w)}~~ + ~~\stackrel{\textit{top and bottom}}{2(5)(w)}}~~ = ~~\stackrel{cm^2}{\textit{\Large 220}} \\\\\\ 50~~ + ~~10w~~ + ~~10w~~ = ~~220\implies 50+20w=220\implies 20w=170 \\\\\\ w=\cfrac{170}{20}\implies w=\cfrac{17}{2} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\stackrel{\textit{\huge volume}}{\stackrel{length}{(5)}~~\stackrel{height}{(5)}~~\stackrel{width}{\left( \cfrac{17}{2}\right)}}\implies \cfrac{425}{2}\implies 212.5[/tex]

Answer:

533903276940

Step-by-step explanation:

easy

Answer:

533,903,276,940

Step-by-step explanation:

Have a nice day/night!

Answer:

25%

Step-by-step explanation:

Answer:

The first one

Step-by-step explanation:

neritic zone, shallow marine environment extending from mean low water down to 200-metre (660-foot) depths, generally corresponding to the continental shelf. Neritic waters are penetrated by varying amounts of sunlight, which permits photosynthesis by both planktonic and bottom-dwelling organisms.

Answer:

108 degrees

Hope this helps!!

Answer:

28.5

Step-by-step explanation:

substitute x = - 7.5 into the expression

- 3(- 7.5) + 6 = 22.5 + 6 = 28.5

Answer:

B

Step-by-step explanation:

9 2 3

Answer:

(8,-4), (3,X)

Step-by-step explanation:

The inverse of the function f(x) = [tex]x^{3}[/tex] is : [tex]\sqrt[3]{x}[/tex]

The inverse of a function is that function that acts to undo a given function.

Analysis:

if f(x) = x^{3}, then let y = [tex]x^{3}[/tex]

[tex]\sqrt[3]{y}[/tex] = [tex]\sqrt[3]{x^{3} }[/tex]

x = [tex]\sqrt[3]{y}[/tex]

Replace y with x

h(x) = [tex]\sqrt[3]{x}[/tex]

in conclusion, the inverse of h(x) = [tex]\sqrt[3]{x}[/tex]

Learn more about inverse of a function: brainly.com/question/3831584

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Answer:

Well if you really want to know, it's 15241383936.

Hope this helps

Ans:  B 63 degree

Step-by-step explanation:

Chord
to find the chord
1/2 or either 0.5

0.5 x 126 = 63
Mark me as Brainliest
Ty , hope it helped

Answer:

B

Step-by-step explanation:

is is correct 63 degrees , Hope this helps !!

Answer: 20.5

Step-by-step explanation:

Answer:

$0.79

Step-by-step explanation:

4 x 3 = 12
9.48/12 = 0.79

Hope this helppsssssssssssssssssssssssssssssssssssssssssssssss

Answer:

The answer is A) 5^2 + (2 x 1) - 14

Step-by-step explanation:

Use PEMDAS ( Parentheses, Exponent, Multiply or Divide, Add or Subtract)

5^2 + (2 x 1) - 14

5^2 + 2 - 14 Do what's in the parentheses

25 + 2 - 14 Then you will do the exponent

27 - 14 Then you subtract

13

The question is an illustration of volume, and the amount of water in the bucket at 45% full is 2.25 gallons

The capacity of the bucket is given as:

Bucket = 5 gallons

At 45% full, we have:

Capacity = 45% * 5 gallons

Evaluate the product

Capacity = 2.25 gallons

Hence, the amount of water in the bucket at 45% full is 2.25 gallons

Read more about volumes at:

https://brainly.com/question/1972490

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Answer: (x -4)^2 +(y -7)^2 = 36

Step-by-step explanation: The equation of a circle with radius r and center at (h, k) is ...

 (x -h)^2 +(y -k)^2 = r^2

When the diameter is 12, the radius is 6 (half the diameter). Then for your center point, the equation is ...

 (x -4)^2 +(y -7)^2 = 36

Using it's concept, it is found that the experimental probability is closest to the theoretical probability​ for number 1.

A probability is given by the number of desired outcomes divided by the number of total outcomes.

The theoretical probability is calculated before any experiments, while the experimental probability is calculated after experiments.

Considering that the sections are equal-sized, the expected frequency for each section is given by:

Ef = 450/8 = 56.25.

The closest frequency to 56.25 is of 58, associated with number 1, which is the one that has the closest probabilities.

More can be learned about probabilities at https://brainly.com/question/14398287

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Answer:

[tex]7 \sqrt[3]{2} [/tex]

Answer:

true

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Depending on the angles, the size, and the form of the triangle the formula can change.

Answer:

just know total angle sum is 180°

Step-by-step explanation:

[tex]52 + (15x + 3) + (3x - 1) = 180 \\ 52 + 3 - 1 + 15x + 3x = 180 \\ 54 + 18x = 180 \\ 18x = 180 - 54 \\ 18x = 126 \\ x = 7[/tex]

but give me a brainliest

Answer:

x = 7

Step-by-step explanation:

→ Find the sum of the angles

52 + 15x + 3 + 3x - 1 = 18x + 54

→ Wquate the expression to 180

18x + 54 = 180

→ Solve for x

x = 7

            [tex]\rule{50}{1}\large\textsf{\textbf{\underline{Question:-}}}\rule{50}{1}[/tex]

         What is the mean of the following data values? 23, 79, 81, 10, 62

            [tex]\rule{50}{1}\large\textsf{\textbf{\underline{Answer and how to solve:-}}}\rule{50}{1}[/tex]

       First, we add all the data values:-

[tex]\Large\text{23, 79, 81, 10, 62}[/tex]

[tex]\bigstar[/tex] On simplification,

[tex]\large\textit{255}[/tex]

[tex]\dagger[/tex] Now, divide by the number of data values (5):-

[tex]\large\text{255:5}[/tex]

[tex]\triangle[/tex] Which results in:-

[tex]\Large\textit{Mean=51 (Option D)}[/tex]

             [tex]\rule{50}{1}\smile\smile\smile\smile\smile\rule{50}{1}[/tex]

Answer: 6 pounds is the mode

Step-by-step explanation: 6 is the most common number