Answer:
3.92 in percent is written as,
3.92×100 = 392
i.e.,option D.
Answer:
9.06
Step-by-step explanation:
Rewriting this equation in slope-intercept form:
y = (-3/4)x + 3
The slope is now the coefficient of the “x” term.
So the slope of this line is -3/4, so a parallel line must also have a slope of -3/4.
Answer:
Area = 314 units^2
Step-by-step explanation:
Use the points (8, -6) and (0,0) to find the radius. You can use the distance formula. But distance formula is derived from Pythagorean theorem. You can see on the graph, if you did a sketch that the triangle formed is a 6,8,10 Pythagorean triple. Any way you calculate it, you will find the radius is 10. Area of a circle is (pi)r^2.
A = pi × 10^2
A = pi × 100
A = 100pi
Area approximately = 100(3.14)
= 314 units^2
Let x represent the side length of the square end, and let d represent the dimension that is the sum of length and girth. Then the volume V is given by
V = x²(d -4x)
Volume will be maximized when the derivative of V is zero.
dV/dx = 0 = -12x² +2dx
0 = -2x(6x -d)
This has solutions
x = 0, x = d/6
a) The largest possible volume is
(d/6)²(d -4d/6) = 2(d/6)³
= 2(108 in/6)³ = 11,664 in³
b) The dimensions of the package with largest volume are
d/6 = 18 inches square by
d -4d/6 = d/3 = 36 inches long