Part A.
The log can be modeled by a cylinder.
The board can be modeled by a rectangular prism.
A; rate of change is the same as slope, so, using the slope formula,
, where
is the slope and
,
,
, and
are the
and
values.
Plug in
points for
and
, water level being the
and time being the
since we're looking for the answer in ft/hr-- you can choose any two, but from the same row.
ft/hr
Answer:
(a) = 0.32 or 8/25
(b) = 0.48 or 12/25
(c) = 4 Boards
Step-by-step explanation:
(a):
0.8 x 2/5
8/10 x 4/10
(8 x 4) / (10 x 10)
(32) / (100)
0.32 or 8/25
(b):
0.8 x 3/5
8/10 x 6/10
(8 x 6) / (10 x 10)
(48) / (100)
0.48 or 12/25
(c):
0.8 x 5
8/10 x 50/10
(8 x 50) / (10 x 10)
(400) / (100)
4 Boards
Answer:
90
Step-by-step explanation:
The greatest common factor of 45m and 6m^5 is 3m. Here's how to find a greatest common factor:
1). Figure out the greatest number that divides evenly into every number in a given set. In your case, the number is 3.
2). Figure out the greatest number of variables that each of the monomials share. In your case, both of your monomials have at least 1 m. This can simply be represented as m.
The final answer is the answers you get from steps 1 and 2 combined.
I hope this helps you out! I have a feeling that my wording might be confusing. If you have any questions, ask me as a comment.
