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:
Initial expression = 80 + 78 + (-97) + 12
final expression = 170-97 ==> $73
Answer:
25
Step-by-step explanation:
itzcottoncandy556.............
Answer:
172.76 yards.
Step-by-step explanation:
The dog chasing some birds got away from its owner by x yards (say).
It is clear from the problem that this x yards is the slant distance from the dog to the owner.
The vertical distance from the dog to the owner is given to be 30 yards, and the angle of elevation from the owner to the dog is 10°.
Therefore, we can write that
⇒
yards. (Answer)