The answer is D) 1,030 45/104
You just have to take the amount of gallons it takes to fill up the pool and divide that by 104
The area of the parallelogram will be 108 square units.
<h3>What is the area of the parallelogram?</h3>
The space occupied by any two-dimensional figure in a plane is called the area. The area of the outer surface of any body is called the surface area.
The vertices of the parallelogram are (x₁, y₁), (x₂, y₂), (x₃, y₃), and ( x₄, y₄).
Then the area of the parallelogram will be calculated as below:-
Area = 1/2 |[(x₁y₂ + x₂y₃ + x₃y₄+x₄y₁) - (y₁x₂ + y₂x₃ + y₃x₄+y₄x₁)]|
We have
(x₁, y₁) ⇒ (-12, 2)
(x₂, y₂) ⇒ (6, 2)
(x₃, y₃) ⇒ (-2, -3)
(x₄, y₄) ⇒ (-20 , -3 )
Then the area will be
Area = 1/2[{(-12) x (2) + (6) x (-3) + (-2) x (-3) + (-20 x 2 )} – {(2) x (6) + (2) x (-2) + (-3) x (-20) + ( -3 ) ( -12 )}]
Area = 108 / 2
Area = 54 square units.
Therefore, the area of the parallelogram will be 108 square units.
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1. 0 > 3x - 3 - 6
0 > 3x -9
9 > 3x
3 > x
It would be a closed circle starting from 3 going to the right.
2. 4x + 1 - 1 >/ -8
4x >/ -8
x >/ -2
It would be an open circle starting from -2 going to the right.
3. -1 </ 2n + 4 - 5
-1 </ 2n -1
0 </ 2n
Undefined.
4. -6 > 5n + 5 + 4
-6 > 5n + 9
-15 > 5n
-3 > n
It would be a closed circle going to the right
