If you notice the picture below
the hexagonal pyramid, is really just a hexagon at the bottom, 6 sides,
and 6 triangles stacked up to each other at the edges
so.. just get the area of the hexagon and the triangles, and add them up, that'd be the surface area of the pyramid
a triangle's area, you'd know is just 1/2 bh, and you have both of those there
now, for the hexagon, notice, we're given the length from the center to one of the sides, namely the "apothem"
thus
The slope of this line is -1 because it goes down one and to the right one
Well, for each
hour you work, you are going to earn
dollars.
Given that we are keeping a constant rate of adding
given the number of hours
, we can say that
is the following:

For example, working at 8 dollars per hour will get the following equation:

For every hour you work, you receive another 8. Thus, we are multiplying them together.
The final equation is T = hd.
Assuming

. We have Lagrangian

with partial derivatives (set to 0)[/tex]





Solving this system of linear equations yields

and

as the sole critical point, which in turn gives a maximum value of

.
Answer:
(262, 690)
Step-by-step explanation:
Given that :
Mean score = 476
Standard deviation, s = 107
2 standard deviations above and below the mean :
Mean ± 2s
Hence,
2 standard deviations below :
476 - 2(107)
476 - 214 = 262
2 standard deviations above
476 + 2(107)
476 + 214 = 690