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Delicious77 [7]
3 years ago
6

The perimeter of a standard sized rug is 40 feet. The width is 2 feet less than the length. Find the dimensions.

Mathematics
1 answer:
natali 33 [55]3 years ago
8 0

The rug's width is 9 feet with a length of 11 feet.

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If y varies directly as x^2 and y=12 when x=2, find y when x=5
Shkiper50 [21]
y=ax^2\\\\y=12\ \ \ and\ \ \ x=2\ \ \ \Rightarrow\ \ \ 12=a\cdot 2^2\ \ \ \Rightarrow\ \ \ a= \frac{4}{12}= \frac{1}{3}  \\\\y=\frac{1}{3} x^2\\\\x=5\ \ \ \Rightarrow\ \ \ y=\frac{1}{3} \cdot5^2=\frac{25}{3} =8\frac{1}{3}
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The equation 15z = y represents a(n)_____variation.<br> quick i’m in a quiz
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Answer:

direct variation

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Step-by-step explanation:

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If 4/5 part of a pole is in mud,3/10 part is in water and 9m is in air,find the total length of pole?​
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7 0
3 years ago
Find the geometric sum 4 + 12 + 36 + . . . + 236,196.
Zolol [24]
The answer choices are sufficiently far apart that you can work this backward. The sum will be ...
  236,196*(1 + 1/3 + 1/9 + 1/27 + ...)
so a reasonable estimate can be given by an infinite series with a common ratio of 1/3. That sum is
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Without doing any detailed calculation, you know the best answer choice is ...
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_____
There are log(236196/4)/log(3) + 1 = 11 terms* in the series, so the sum will be found to be 4(3^11 -1)/(3-1) = 2*(3^11-1) = 354,292.

Using the above approach (working backward from the last term), the sum will be 236,196*(1-(1/3)^11)/(1-(1/3)) = 236,196*1.49999153246 = 354,292

___
* If you just compute log(236196/4)/log(3) = 10 terms, then your sum comes out 118,096--a tempting choice. However, you must realize that the last term is larger than this, so this will not be the sum. (In fact, the sum is this value added to the last term.)
3 0
3 years ago
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