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In the circle with center O, if the length of minor arc MP is 3π, what is the area of square region MOPQ ?

The following appeared in a memo from the president of Bower Builders, a company that constructs new homes.

"A nationwide survey reveals that the two most-desired home features are a large family room and a large, well-appointed kitchen. A number of homes in our area built by our competitor Domus Construction have such features and have sold much faster and at significantly higher prices than the national average. To boost sales and profits, we should increase the size of the family rooms and kitchens in all the homes we build and should make state-of-the-art kitchens a standard feature. Moreover, our larger family rooms and kitchens can come at the expense of the dining room, since many of our recent buyers say they do not need a separate dining room for family meals."

Write a response in which you examine the stated and or unstated assumptions of the argument. Be sure to explain how the argument depends on these assumptions and what the implications are for the argument if the assumptions prove unwarranted.

A divide between aesthetic and technical considerations has played a crucial role in mapmaking and cartographic scholarship. Some nineteenth-century cartographers, for instance, understood themselves as technicians who did not care about visual effects, while others saw themselves as landscape painters. That dichotomy structured the discipline of the history of cartography. Until the 1980s, in what Blakemore and Harley called "the 'Old is Beautiful' paradigm.* scholars largely focused on maps made before 1800. marveling at their beauty and sometimes regretting the decline of the pre-technical age. Early mapmaking was considered art while modem cartography was located within the realm of engineering utility. Alpers. however, has argued that this boundary would have puzzled mapmakers in the seventeenth century, because they considered themselves to be visual engineers.

According to the passage. Alpers would say that the assumptions underlying the "paradigm" were