We have a square garden of 400 square foot.
The area of a square is:

where x: side length.
In this case:
![\begin{gathered} A=400=x^2 \\ x=\sqrt[]{400}=20\text{ ft} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20A%3D400%3Dx%5E2%20%5C%5C%20x%3D%5Csqrt%5B%5D%7B400%7D%3D20%5Ctext%7B%20ft%7D%20%5Cend%7Bgathered%7D)
The perimeter of the square is the sum of the lengths of the sides of the square. As they are all equal, we can write:

The fencing is priced at $1.50 per foot. If we add the 7% sales tax to this price we get:

The fencing will be installed in all the perimeter (80 ft).
We can calculate the total cost by multiplying the sales price ($1.605 per foot) and the perimeter (80 ft):

Answer: the fencing will cost a total of $128.40
Answer:
3600
Step-by-step explanation:
multiply all of the choices
10x15x6x4
The combination expression that demonstrates how the 20 is calculated using the combination pattern is 6C3
<h3>Permutation and Combination</h3>
While combination has to do with selection, permutation has to do with arrangement.
According to the combination rule
nCr = n!/(n-r)!r!
The expression that gives the result of 20 is expressed below;
6C3 = 6!/(6-3)!3!
6C3 = 6!/3!3!
6C3 = 6!/6*6
6C3 = 720/36
6C3 =20
Hence the combination expression that demonstrates how the 20 is calculated using the combination pattern is 6C3
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The identity Sin(α)/Tan(α) = Cos(α) is valid
Trigonometry is study of triangles. All trigonometric ratios are defined using the sides of the right triangle, such as an adjacent side, opposite side, and hypotenuse side. Three major of them are as follows :-
Sine Function:
sin(θ) = Opposite / Hypotenuse
Cosine Function:
cos(θ) = Adjacent / Hypotenuse
Tangent Function:
tan(θ) = Opposite / Adjacent
Lets prove this identity by proceeding with the LHS
= Sin(α)/Tan(α)
= Sin(α)/ (Sin(α)/Cos(α)) (Tan(α) = Sin(α)/Cos(α))
= Sin(α)xCos(α) / Sin(α)
= Cos(α)
Hence verified
Learn more about Trigonometric Ratios here :
brainly.com/question/13776214
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