Select the correct answer from each drop-down menu. A hot tub is in the shape of a regular pentagon. To the nearest tenth, what
is the area of the cover on the hot tub? 4 ft The apothem of the pentagon is approximately ft². ft, and the perimeter of the pentagon is Reset Next ft. Therefore, the area is 
1 answer:
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Step-by-step explanation:
The domain of a function are the values of that you can plug into the function
.
Values inside of a root must be non-negative, which means that must be greater than or equal to zero. We can set up an equation to find the domain:
With this, we know the domain of the function is .
The range of a function are the values that can have. Since the equation is a cube root, the value will always be non-negative, meaning the range of the function is
.
The answer choice which represents the domain and range of the function h(t) as given in the task content in which case, values are rounded to the nearest hundredth is; Domain: [0, 3.85] and Range: [0, 18.05].
<h3>What are the domain and range of the function as given in the task content?</h3>It follows from convention that the domain of a function simply refers to the set of all possible input values for that function.
Also, the range of a function is the set of all possible output values for such function.
On this note, by observing the graph in the attached image, it follows that the Domain of the function in discuss is; [0, 3.85].
While the range is the difference between the minimum and maximum height attained and can be computed as follows;
At minimum height, t = 0; hence, h(t) = 0.
At maximum height; h'(t) = 0 where h'(t) = h'(t)=-9.74t+18.75 and hence, t = 1.92.
Hence, h(1.92) = 18.05.
The range is therefore; [0, 18.05].
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