Answer:
104%
Step-by-step explanation:
if it has to do with percentages
Answer:
A:1
B:1/16
C:1/256
D:1
E:4/9
F:16/81
Step-by-step explanation:
Hope this helps
Answer:
.
Step-by-step explanation:
Let , , and be constants, and let . The equation represents a parabola in a plane with vertex at .
For example, for , , , and .
A parabola is entirely above the -axis only if this parabola opens upwards, with the vertex above the -axis.
The parabola opens upwards if and only if the leading coefficient is positive: .
For the vertex to be above the -axis, the -coordinate of that point, , must be strictly positive. Thus, .
Among the choices:
- does not meet the requirements. Since , this parabola would open downwards, not upwards as required.
- does not meet the requirements. Since and is negative, the vertex of this parabola would be below the -axis.
- meet both requirements: and .
- (for which ) would touch the -axis at its vertex.
Let the distance from the tip of the base of the triangle to the point that the top of the rectangle meets the triangle be x, then the width of the rectangle is √3/2x and the length of the rectangle is L - x.
Thus, Area of the rectangle = √3/2x(L - x) = √3/2xL - √3/2x^2
For maximum area, dA/dx = 0
dA/dx = √3/2L - √3x = 0
√3/2L = √3x
x = L/2
L - x = L - L/2 = L/2
√3/2x = √3/2(L/2) = √3/4L
Therefore, the dimensions of the square are L/2 and √3/4 L.