Answer:
inches
Step-by-step explanation:
The total length of pipe is 10 2/3rd inches
It is cut into 8 equal pieces
We need to divide total length by 8 to get length of each piece. First, we have to convert mixed number (total length) to improper fraction by using formula shown below:

So,

Each piece length is:

So, each piece is
inches
Lagrange multipliers:







(if

)

(if

)

(if

)
In the first octant, we assume

, so we can ignore the caveats above. Now,

so that the only critical point in the region of interest is (1, 2, 2), for which we get a maximum value of

.
We also need to check the boundary of the region, i.e. the intersection of

with the three coordinate axes. But in each case, we would end up setting at least one of the variables to 0, which would force

, so the point we found is the only extremum.
Answer:supplementary
Step-by-step explanation:
Opposite angles in any quadrilateral inscribed in a circle are supplements of each other.
Answer:
44fps, or 44:1
Step-by-step explanation:
it is already a unit rate
The triangle on the left appears to be congruent with the triangle on the right. If this observation is actually valid, then x+7 = 2x-5. 12=x Yes, I realize that this doesn't match any of the answer choices, 'tho the 4th choice is the only one that contains "12." Would you please share the instructions for this problem.