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Viktor [21]
3 years ago
13

-2x - 6 = 2 - 4x - (x - 1) solve

Mathematics
2 answers:
Juli2301 [7.4K]3 years ago
5 0

Answer:

Step-by-step explanation:

-2x - 6 = 2 - 4x - x + 1

-2x - 6 = 3 - 5x

3x - 6 = 3

3x = 9

x = 3

Dahasolnce [82]3 years ago
3 0
-2x-6 = 2-4x - (x-1)

-2x-6 = 2-4x -x + 1

-2x-6 = 3 - 5x

-2x + 5x = 3+6

3x = 9

devide 3 to both side

x = 3
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It the wiper blade (and arm) made a full rotation, 2 circles would be formed.

One small circle with radius b, and a larger circle with radius a+b.


The areas of these 2 circles are respectively:

\pi b^2=\pi\cdot 5^2=25 \pi (in^2)    and

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120° is 1/3 of a complete angle 360° which form a circle, so the areas formed by the arm of length b, and the arm + the wiper blade (a+b) are:

\frac{25 \pi}{3} and \frac{361\pi}{3} in squared respectively.

the actual wiped area is \frac{361\pi}{3}-\frac{25 \pi}{3}= \frac{336\pi}{3}=112\pi \approx351.7 (in squared)


Area of the window is 54*24= 1296 (in squared)

thus, the ratio of the wiped area to the whole area of the window is 351.7/1296=0.271

Converted to percentages, this is 27.1%


Answer: 27.1%

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