Paraceratherium was the biggest land mammal there has ever been. it lived about 35 million years ago and was 8 m tall and 11 m long. it looked like a giant rhinoceros but had a long neck like a giraffe. about how tall was paraceratherium in feet? use the conversion factor 1 ft. = 0.3048 m. round to the nearest tenth where necessary.
a.
26.2 ft.
c.
42.6 ft.
b.
36.7 ft.
d.
19.9 ft.

Proving the parallelogram diagonal theoremgiven abcd is a parralelogam, diagnals ac and bd intersect at eprove ae is conruent to ce and be is congruent to de

Acaterer knows he will need 60, 50, 80, 40 and 50 dinner napkins on five successive evenings. he can purchase new napkins initially at 25 cents each, after which he can have dirty napkins laundered by a fast one-day laundry service (i.e., dirty napkins given at the end of the day will be ready for use the following day) at 15 cents each, or by a slow two-day service at 8 cents each or both. the caterer wants to know how many napkins he should purchase initially and how many dirty napkins should be laundered by fast and slow service on each of the days in order to minimize his total costs. formulate the caterer’s problem as a linear program as follows (you must state any assumptions you make): a. define all variables clearly. how many are there? b. write out the constraints that must be satisfied, briefly explaining each. (do not simplify.) write out the objective function to be minimized. (do not simplify.)

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