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noname [10]
3 years ago
11

Quadrilateral DEFG is rotated 180° about the origin to create quadrilateral D'E'F'G'. In which quadrant does G' lie?

Mathematics
1 answer:
Daniel [21]3 years ago
7 0
Rotation in mathematics involves movement of a figure along a given point and a given angle. It is described by giving a the center of rotation and the angle of rotation, the angle indicates the direction of rotation whether clockwise or anticlockwise, such that if the angle is positive then the rotation is to the anticlockwise direction and if the angle is negative then the direction of rotation is clockwise. In our case the center of rotation is origin (0,0) and the angle of rotation is +180 degrees thus the direction of rotation is anticlockwise. Therefore if an object DEFG is rotated to an image D'E'F'G' , assuming point G was in the first quadrant then its image G' will fall on the third quadrant of the Cartesian plane.
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Dovator [93]

Answer:

second

Step-by-step explanation:

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4 0
3 years ago
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I need help on numbers 11-16
agasfer [191]
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\\ \quad \\\\
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now, bear in mind that, the opposite side, to an angle, is the side right "in front of it", that is, if you were to put your eye on that angle, "the wall" you'd see on the other end, is the opposite side

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\bf tan(\theta)=\cfrac{opposite}{adjacent}\implies tan(Z)=\cfrac{30}{40}
\\\\\\
\textit{which can be simplified to }\cfrac{3}{4}


and you'd do all others, the same way, using those ratios

use \bf sin(\theta)=\cfrac{opposite}{hypotenuse}
\qquad \qquad 
% cosine
cos(\theta)=\cfrac{adjacent}{hypotenuse}

\\ \quad \\\\
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marta [7]
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BARSIC [14]
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5 0
3 years ago
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MAXImum [283]

Step-by-step explanation:

3(a+4b)

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