To find the expression for the area of the rectangular garden we will find the area of the rectangle in the picture and then double it.
Area of the garden will be represented by the expression 32s⁵ ft².
Mrs. Lopez is designing her rectangular garden which is 2 times greater than the area of the rectangle shown in the picture.
Dimensions of the rectangle in the picture are 4s³t ft and 8s² ft.
Therefore, area of the rectangle in the picture = Length × Width
= 4s³t × 8s²
= 32s⁵t ft²
Since, area of the garden is 2 times greater than the area of the rectangle given in the picture.
Therefore, area of the garden = 2(area of the rectangle given in the garden)
= 2(32s⁵t) square feet.
= 64s⁵t square feet
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1 ) cot x * sin x = cos x
(cos x / sin x) * sin x = cos x
cos x = cos x
Answer: B ) cot x = cos x / sin x
2 ) ( sin² x + cos² x ) / cos x = sec x
1/cos x = sec x
sec x = sec x
Answer: C ) cos² x + sin² x = 1
D) EFGH moved onto E'F'G'H after rotating 180 counterclockwise around the origin and the reflecting across the y-axis.
<h3>How to carry out transformations?</h3>
From online resources gotten about this question, for quadrilateral EFGH and quadrilateral E'F'G'H to be congruent, what we must do first is to rotate 180° counterclockwise around the origin and then move EFGH onto E'F'G'H'.
The last step to get this proof of congruency is to reflect across the y-axis.
Read more about transformations at; brainly.com/question/4289712
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We are given the first term and the common ratio, this means they belong to a geometric series.
For the given series:

Each term of the geometric series is obtained by multiplying the previous term by common ratio.
So the next terms will be:
-4.5, -6.75, -10.125, -15.1875, -22.78125
The general formula for the G.P would be:

On plotting the series, the result will be like this:
Answer:-3/7
Step-by-step explanation:
I'm 99% sure that the properties only apply to + and X