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insens350 [35]
1 year ago
15

What is the area of the following polygon?

Mathematics
1 answer:
muminat1 year ago
6 0

The area of the polygon is 25.5 square units

<h3>How to determine the area of the polygon?</h3>

From the figure, we have the following coordinates

A = (-2, 1)

B = (3, 2)

C = (5, -3)

D = (-1, -3)

The area of the polygon is then calculated as:

A = 0.5 * |(x1y2 - x2y1) + (x2y3 - x3y2) + (x3y4 - x4y3) + (x4y1 - x1y4)|

Substitute the known values in the above equation

Area = 0.5 * |(-2 * 2 - 3 * 1) + (3 * -3  - 5 * 2) + (5 * -3  + 1 * -3) + (-1 * 1 + 2 * -3)|

Evaluate the sum of products

Area = 0.5 * |-51|

Remove the absolute bracket

Area = 0.5 * 51

Evaluate the product

Area = 25.5

Hence, the area of the polygon is 25.5 square units

Read more about areas at:

brainly.com/question/25292087

#SPJ1

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19/20

Step-by-step explanation:

I got help on khan acadamy!!!!!

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3 years ago
Find the side length of a cube with a volume of 166 m
marin [14]
The answer is 5.5 m.


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Since the length, width and the height are the same in cube, the formula can be:

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8 0
2 years ago
Best explained and correct answer gets brainliest.
topjm [15]
U = (-2,3)

V = (3,0)

midpoint of UV

= ( (3-2)/2 , (3+0)/2 )

= ( 1/2 , 3/2)

= ( 0.5 , 1.5)

X = (0.5 , 1.5) [from fig]

midpoint of UV = X

W= (-2,-3)

V =( 3.0)

Y = ( (-2+3)/2 , (-3+0)/2 )

= (0.5 , - 1.5)

Y = ( 0.5 , -1.5) [ from fig ]

Y is the midpoint of WV

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6 0
3 years ago
A cup of coffee at 85 degrees Celsius is placed in a room at 25 degrees Celsius. Suppose that the coffee cools at a rate of 5 de
bezimeni [28]

Answer: k = - 6.6667

Step-by-step explanation:

this is quite very simple to begin. I would encourage you take other practice questions similar to help with understanding it.

let us begin.

Given that ;

dT/dt = k ( Tm - T)       where Tm is the temp of the medium

dT/dt = 5 degrees Celsius per minute    when T = 70

so we have that, 5 = k ( 25 - 70)

remember to convert 5 degree celsius per minute to seconds

we have that;

5*60(sec) = k ( 25 - 70)  

k = 5*60 / ( 25 - 70)

k = - 6.6667

note K is negative because we consider it for cooling process  (temp decreasing).

cheers i hope this helps!!!

3 0
2 years ago
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