Mathematics, 02.08.2019 18:00, kalieghcook

Quadrilateral defg is rotated 180° about the origin to create quadrilateral d'e'f'g'. in which quadrant does g' lie?

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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.

answered: Guest

-362

step-by-step explanation:

(12)(4)+2(12)-34(12)+2(12)-3

\/ \/ \/ \/

48 + 24 - 408 + 24 - 3

\ / \ /

72 - 432 - 3 = -363

answered: Guest

"it's not the heat, it's the humidity". that's a partly valid phrase you may have heard in the summer, but it's actually both. the heat index, also known as the apparent temperature, is what the temperature feels like to the human body when relative humidity is combined with the air temperature. this has important considerations for the human body's comfort. when the body gets too hot, it begins to perspire or sweat to cool itself off. if the perspiration is not able to evaporate, the body cannot regulate its temperature. evaporation is a cooling process. when perspiration is evaporated off the body, it effectively reduces the body's temperature. when the atmospheric moisture content (i.e. relative humidity) is high, the rate of perspiration from the body decreases. in other words, the human body feels warmer in humid conditions. the opposite is true when the relative humidity decreases because the rate of perspiration increases. the body actually feels cooler in arid conditions. there is direct relationship between the air temperature and relative humidity and the heat index, meaning as the air temperature and relative humidity increase (decrease), the heat index increases (decreases).

step-by-step explanation: