Answer:
84 cm^2
Step-by-step explanation:
Area of triangle + area of rectangle
Area of triangle = 1/2*l*b
= 1/2*8*3= 12 cm^2
Area of rectangle = l*b
= 12*6 = 72 cm^2
Total area= 72+12
= 84 cm^2
Answer:
$79
Step-by-step explanation:
Putting the dot points is the second
Answer:
the Associative Property
Step-by-step explanation:
Notice that the ORDER doesn't change -- a, b, c on both sides. But the GROUPING changes.
Example:
3 + (4 + 5) = (3 + 4) + 5
3 + 9 = 7 + 5
12 = 12
Subtraction does NOT behave this way!
8 - (7 - 1) = 8 - 6 = 2
(8 - 7) - 1 = 1 - 1 = 0
It matters who you associate with! :-)
Because I've gone ahead with trying to parameterize 
directly and learned the hard way that the resulting integral is large and annoying to work with, I'll propose a less direct approach.
Rather than compute the surface integral over straight away, let's close off the hemisphere with the disk 
of radius 9 centered at the origin and coincident with the plane 
. Then by the divergence theorem, since the region 
is closed, we have
where 
is the interior of . 
has divergence
so the flux over the closed region is
The total flux over the closed surface is equal to the flux over its component surfaces, so we have
Parameterize by
with 
and 
. Take the normal vector to to be
Then the flux of across is
