Mathematics, 10.10.2019 21:50 ronniethefun

Trapezoid abcd is graphed in a coordinate plane.

what is the area of the trapezoid?

10 square units
12 square units
20 square units
24 square units

Trapezoid abcd is graphed in a coordinate plane. what is the area of the trapezoid?

Answers: 3

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Answer from: kassimh495

In geometry we are taught to find the area of a shape by a given formula. For example, the trapezoid shown in the figure has a formula for area of

A = 1/2 *((base 1 + base 2)/2)*height

But for polygons drawn on a Cartesian plane with known coordinates, the formula for area is

A = 1/2 * determinant

The determinant refers to the determinant of the matrix of coordinates. It is a two-column matrix, wherein the first column is the x-coordinate and the second is the y-coordinate. Just make sure that the points are arranged such that they are adjacent with each other. The matrix for this would be

-5 -2 <---- point A
-1 2 <---- point B
0 -1 <---- point C
-2 -3 <---- point D
-5 -2 <---- point A

Just cross multiply the coordinate with a pattern shown in the picture. Don't mind the numbers. Focus on the pattern for determining the matrix. In this case,

Area = 1/2 * [(-10-2)+(1-0)+(0-2)+(4-15)]
Area = 12 square units
Trapezoid abcd is graphed in a coordinate plane. what is the area of the trapezoid? 10 square units

Trapezoid abcd is graphed in a coordinate plane. what is the area of the trapezoid? 10 square units

Answer from: lashayl27

The answer below is correct, the answer is 12.

For those of you who do not believe me, putting in 24 is going to give you a wrong answer, it happened to me

Answer from: Quest

a) one student is chosen from classroom a, then a student is chosen from classroom b.

step-by-step explanation:

independent events are ones in which the probability of one event does not affect the probability of the second event.

one student is chosen from classroom a; this does not affect the chances of choosing a student from classroom b. this makes these independent events.

when one card is chosen from a standard deck and then set aside before a second card is chosen, the probability of the second card being chosen changes. this makes them dependent events.

when one student is chosen from classroom a and then a second student is chosen from classroom a, the probability of choosing the second student changes. this makes them dependent events.

when a letter is chosen from the alphabet and then a second letter is chosen, the probability of choosing the second letter changes. this makes them dependent events.

Answer from: Quest

yes

step-by-step explanation:

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Trapezoid abcd is graphed in a coordinate plane.

what is the area of the trapezoid?