Answer:
25%
Step-by-step explanation:
If Denver gets 8/19 of the food, 11/19 of the food is left between Engle and Fido.
If the food is shared in a ratio of 6 : 2 between the pair, Engle gets 6/8 and Fido gets 2/8.
Thus, 2/8 = 25%.
The value of <em>p </em>is 21
Step-by-step explanation:
ΔABC ~ ΔFGH
So, the value of <em>p</em> is 21
<em>Hope </em><em>it </em><em>helpful </em><em>and </em><em>useful </em><em>:</em><em>)</em>
B + 1.1 = -11
Subtract 1.1 from both sides to get b.
So, b = -12.1
F(x) = 18-x^2 is a parabola having vertex at (0, 18) and opening downwards.
g(x) = 2x^2-9 is a parabola having vertex at (0, -9) and opening upwards.
By symmetry, let the x-coordinates of the vertices of rectangle be x and -x => its width is 2x.
Height of the rectangle is y1 + y2, where y1 is the y-coordinate of the vertex on the parabola f and y2 is that of g.
=> Area, A
= 2x (y1 - y2)
= 2x (18 - x^2 - 2x^2 + 9)
= 2x (27 - 3x^2)
= 54x - 6x^3
For area to be maximum, dA/dx = 0 and d²A/dx² < 0
=> 54 - 18x^2 = 0
=> x = √3 (note: x = - √3 gives the x-coordinate of vertex in second and third quadrants)
d²A/dx² = - 36x < 0 for x = √3
=> maximum area
= 54(√3) - 6(√3)^3
= 54√3 - 18√3
= 36√3.
Answer:
8 in
Step-by-step explanation:
In a cube, the length, width, and height are all the same.
