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Find the area of each sector. Show your work.

Step-by-step explanation:

The area of a full circle is

A full circle has a central angle of 360 degrees.

The area of a sector is a fraction of the area of a full circle and is proportional to the central angle of the sector.

For a sector:

where n = central angle of sector.

Here you have a radius of 10 and a central angle of 120 deg.

7 weeks

step-by-step explanation:

convert each fraction to the least common multiple of 20, so 3/4 = 15/20 & 1/10 = 2/20, then divide 15 by 2 and you get a little over 7, so the food will last 7 weeks.

the central idea is that:

individuals should refuse to cooperate with institutions they believe unjust.

thoreau felt  that governments were more often agents of corruption than justice, even democracies, and that just because the majority feels a certain way does not make it just or correct in absolute terms. he uses the fact that slavery exists in our democracy to support this idea.

he goes on to say that, as a result, people should live true to their own internal laws regarding right and wrong, as a product of reflection and a moral life, rather than following every law that society imposes. 

step-by-step explanation: