If a carpenter nails a 15-ft brace to the wall 9 feet above the floor, how far (in ft) from the base of the wall should he nail the brace to the floor? ft.

c = 12ft

Step-by-step explanation:

Given that the wall is 9ft from the ground.

Brace nailed to the wall is 15ft.

Note that the brace to the wall will be slant hence it will look like the hypotenus side of a triangle.

The question requires the solution to the distance from the base of the wall to the brace.

Note from Pythagoras theorem

a^2 = b^2+c^2

Where a = 15ft

b = 9ft

Hence, from the base of the wall, the brace will be nailed 9ft

c = ?

15^2 = 9^2+c^2

225 = 81+c^2

225-81 = c^2

144 = c^2

c =√144

c = 12ft

2^y = ln 5, or   y(ln 2) = ln 5.   solving for y,   y = (ln 5) / (ln 2).   y=5

step-by-step explanation:

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: