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LenaWriter [7]
3 years ago
9

Which property of real numbers is illustrated by the equation (46 + 32) + 71 = 46 + (32 + 71)? *

Mathematics
1 answer:
Sav [38]3 years ago
4 0
Associative property
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The path of a skateboarder can be modeled by the equation (x – 3)2 = –8(y – 8), where distance is in feet and air resistance is
yKpoI14uk [10]

The maximum height and horizontal distance is required.

Maximum height 8 feet; horizontal distance 16 feet

The given path is (x-3)^2=-8(y-8)

If the skateboarder jumps at x = 0 she will land at y = 0. However there will be at horizontal displacement.

(x-3)^2=-8(0-8)\\\Rightarrow (x-3)^2=8^2\\\Rightarrow x-3=\pm 8\\\Rightarrow x-3=8\\\Rightarrow x=11

or

x-3=-8\\\Rightarrow x=-5

The distance between -5 and 11 is 11-(-5)=16

Middle point would be \dfrac{16}{2}=8 from -5.

-5+8=3

So, x=3

The maximum height will be

(3-3)^2=-8(y-8)\\\Rightarrow y-8=0\\\Rightarrow y=8

The maximum height is 8 feet and the horizontal distance is 16 feet.

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3 years ago
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3 years ago
7. What is 30% of 70? Show your work.
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30% = 3/10 = .3

70 x .3 = 21
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Randy does 200 Newton-meters of work moving a 100 pound piano a distance of 5 meters. How much force did he use?
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Answer:

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Step-by-step explanation:

Equation: <em>W = Fd</em>, where W = work, F = force, and d = distance

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4 years ago
Find the magnitude of the rotational symmetry in a square?
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The magnitude of the rotational symmetry in a square is 4.

The rotational symmetry of a geometric figure is the number of times you can rotate the geometric figure so that it looks exactly the same as the original figure.

So when we roll up a square and stopped when every side is at the bottom, the square is still congruent to its original figure. Since a square has 4 sides, we can roll it up 4 times, every 90 degrees rotation.

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