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Debora [2.8K]
2 years ago
11

A figure in the first quadrant is rotated 180° counterclockwise about the origin. In which quadrant will the rotated figure appe

ar?
Mathematics
2 answers:
d1i1m1o1n [39]2 years ago
8 0
The rotated figure will appear in quadrant I.
bagirrra123 [75]2 years ago
4 0
For every point A = (x,y) in your figure, a 180 degree counterclockwise rotation about the origin will result in a point A' = (x', y') where:
x' = x * cos(180) - y * sin(180)
y' = x * sin(180) + y * cos(180)

Happy-fun time fact: This is equivalent to using a rotation matrix from Linear Algebra!

Because a rotation is an isometry, you only have to rotate each vertex of a polygon, and then connect the respective rotated vertices to get the rotated polygon.

You can rotate a closed curve as well, but you must figure out a way to rotate the infinite number of points in the curve. We are able to do this with straight lines above due to the property of isometries, which preserves distances between points.
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How much heat is required to raise the temperature of
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Answer:

The amount of heat required to raise the temperature of liquid water is 9605 kilo joule .

Step-by-step explanation:

Given as :

The mass of liquid water = 50 g

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The final temperature = T_2  = 100°c

The latent heat of vaporization of water = 2260.0 J/g

Let The amount of heat required to raise temperature = Q Joule

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Heat = mass × latent heat × change in temperature

Or, Q = m × s × ΔT

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So, Q = 50 g × 2260.0 J/g × ( 100°c - 15°c )

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Photon Lighting Company determines that the supply and demand functions for its most popular lamp are as follows: S(p) = 400 - 4
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S(p) = D(p)
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2 years ago
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