Answer:
5400 mi²
Step-by-step explanation:
The area is half the absolute value of the sum of the determinants of the points taken pairwise in some consistent order around the polygon. For a triangle, this sum of determinants can also be written as the determinant of a 3×3 matrix of the coordinates with the third column being 1.
... Area = (1/2)|D|
where D = ...
Then the area is (in grid squares) ...
... Area = (1/2)|27| = 13.5 . . . . grid squares
Each grid square is (20 mi)² = 400 mi², so 13.5 grid squares is ...
... 13.5 × 400 mi² = 5400 mi²
Answer:$46.75
Step-by-step explanation:
The total is the whole or 100%
55=100%
x=15%
Multiply across
100%*x=55*15%
x=8.25
Now we minus 8.25 from 55=
$46.75
Answer:
Step-by-step explanation:
- 6x + 9 > 7x + 74
Treat them as being equal first.
Subtract 9 from both sides.
- 6x + 9 - 9 > 7x + 74 - 9
- 6x > 7x + 65
Subtract 7x from each side
- 6x - 7x > 7x - 7x + 65
- 13x > 65
Divide each side by -13
- 13x / -13 > 65 / -13
x < -5
So x hust be smaller than -5 meaning -6 works but -4 doesn't.