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The property rights component assesses the extent to which a country’s legal framework allows individuals to freely accumulate private property, secured by clear laws that are enforced effectively by the government. Relying on a mix of survey data and independent assessments, it provides a quantifiable measure of the degree to which a country’s laws protect private property rights and the extent to which those laws are respected. It also assesses the likelihood that private property will be expropriated by the state.
Answer:
Emperor Charles VI created Lichtenstein
A = pi * r^2 A = 3.14 * 50^2 A = 7,850 square miles (area of the 50 mile broadcast signal)
A = pi * r^2A = 3.14 * 75^2A = 17,662.5 = 17,663 square miles (area of the 75 mile relayed signal)
Now we just need to subtract the 50 mile signal from the 75 mile signal, so:
17,663 - 7,850 = 9,813 square miles greater
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The most important reason for the collapse of Rome was the failure to actually integrate what they conquered. When Roman soldiers conquered new lands, it was rare that they ever attempted to force their culture, ideals, or laws upon the natives and barbarians. Thus, when the Empire began suffering internal struggles, the natives they had conquered decided to take action, which lead to the swift collapse by barbarian invasion from all sides. It's hard to pick a LEAST important reason, seeing that there were many of them, but I suppose a contender would most likely be the common refusal of the Empire to even acknowledge that barbarians were rising. On the outer edges of their territory, in places like Gaul and Morocco, the Roman government was reluctant to even recognize the threat of the barbarians, thinking that even accepting that these barbarians were causing trouble would weaken their prestige in the public eye.