A) 5000 m²
b) A(x) = x(200 -2x)
c) 0 < x < 100
Step-by-step explanation:
b) The remaining fence, after the two sides of length x are fenced, is 200-2x. That is the length of the side parallel to the building. The product of the lengths parallel and perpendicular to the building is the area of the playground:
A(x) = x(200 -2x)
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a) A(50) = 50(200 -2·50) = 50·100 = 5000 . . . . m²
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c) The equation makes no sense if either length (x or 200-2x) is negative, so a reasonable domain is (0, 100). For x=0 or x=100, the playground area is zero, so we're not concerned with those cases, either. Those endpoints could be included in the domain if you like.
Step-by-step explanation:
Let U=universal set
C=students who drink coke
P = students who drink pepsi
The ratio 
describes the Sine function . The correct option is C. Sine
<h3>Trigonometry </h3>
From the question, we are to determine the function that the ratio of <em>opposite </em>to <em>hypotenuse </em>describes
By SOH CAH TOA
We have that
and
Hence, the ratio describes the Sine function . The correct option is C. Sine
Learn more on Trigonometry here: brainly.com/question/956353
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