The Expression for the Area a of the rectangle as a function of length L is given by A(L) = 12L - L^2 .
Let,
length, L, and the width, W, are components that help determine the area, A, and the perimeter, P of the rectangle. These are given by the following equations
A=LW
P=2L+2W
Given,
Perimeter of the Rectangle = 24m.
We are asked to express the perimeter of the rectangle as a function of the length, L, of one of its sides.
We will first set up the equation of the Perimeter of the rectangle. We can let the width of the rectangle be W.
P = 2L+2W
24 = 2L+2W
12 = L+W
W = 12-L
Since we want to express the Area as a function of L, we have to find the value of W in terms of L. This is so we can eliminate the width in the equation for the Area. The Area as a function of L is as follows.
A(L, W) = LW
A(L) = L(12-L)
A(L) = 12L-L^2
Therefore, the Area as a function of L is given by A(L) = 12L-L^2.
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Answer:
1/6≈0.17≈17%
Step-by-step explanation:
Answer:
Russian modernization was slow to take place because the concepts of modernization conflicted with the autocratic power structure itself and amplified social conflicts in the country.
Explanation:
Alexander II, amid internal problems, sought to modernize the country and expand its domains in Asia. to this end, he abolished servitude and instituted wage labor on a large scale. Alexander II even established councils, the Ziemstvos, responsible for political participation in Russian lands, but still under the tutelage of the Tsar. Newspapers and magazines were created and, apparently, Russia was moving towards political modernization.
However, ethnic minorities organized themselves and demanded autonomy or political apparatus of representation within the Empire, which affected the autocratic power of the tsar. Alexander II responded to these movements with the force of arms, and massacres were perpetrated by his order. As it was understood that the modernization of the country threatened the autocracy of the current government, the Tsar decided to delay the modernization of the country.
Step-by-step explanation:
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Answer:
Step-by-step explanation:
So first you would find a common denominator. The common denominator is 6. For 1/3 you multiply both numbers by 2. For 1/2 you multiply both numbers by 3. You would then have 3/6 and 2/6. You add them together which equals 5/6. Timothy need 5/6 cups of bread crumbs for his casserole.
Answer:
10
Step-by-step explanation:
We are taking 5m and dividing by 1/2 m
5 ÷ 1/2
Copy dot flip
5 * 2/1
10
We can get 10 pieces from the rope