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insens350 [35]
2 years ago
15

What is the area of the following polygon?

Mathematics
1 answer:
muminat2 years 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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Select the correct answer.
timama [110]

Answer:

Edison will be paid $15,112 for the first three months.

Step-by-step explanation:

Edison receives an annual fixed pay = $45,448.

Monthly pay  = 45,448/12 = $3787.33

3-month salary = $3787.33 *3 = $11.362

Commission = 15%

Total sale = $25,000 for the first 3 months.

Commission amount = 25,000*0.15 = $3750

Therefore, total pay that Edison received during first 3 months= salary + commission

= $11,362 + $3750

= $15,112

4 0
3 years ago
A sphere and a right cylinder have the same radius and volume. The cylinder has a height of 8 feet. Find the radius.
siniylev [52]

9514 1404 393

Answer:

  6 feet

Step-by-step explanation:

The volume of a cylinder is given by ...

  V = πr^2·h

For a sphere, the volume is ...

  V = 4/3πr^3

You want the volumes to be the same when h=8, so we have ...

  πr^2·8 = 4/3πr^3

Dividing by πr^2, we have ...

  8 = 4/3r

  r = 3/4·8 = 6

The radius is 6 feet.

8 0
3 years ago
What equation models the data in the table if d = number of days and c = cost?
Anit [1.1K]
C = 22d is the correct answer because for every day the cost increases by 22 so two days mean the cost is equal to 22 (2)
4 0
4 years ago
Read 2 more answers
Calculate the capacity in liters of a tin 20m by 15m by 10m.​
rusak2 [61]
20 * 15 * 10 *10^-6
= 0.003
5 0
3 years ago
Here 1 more than BIG PRIZE
Firlakuza [10]
Hey there! :D

Use the distributive property.

a(b+c)= ab+ac

6(9x+2)+2x

54x+12+2x

56x+ 12 <== equivalent expression

I hope this helps!
~kaikers
4 0
3 years ago
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