Answer:
93.31200 dollars
Step-by-step explanation:
8% of 1166.40
9514 1404 393
Answer:
9 square units
Step-by-step explanation:
Pick's theorem is a useful relationship in circumstances like these. It tells you the area is ...
A = i + b/2 - 1
where i is the number of interior points (8), and b is the number of points on the border (4).
The area of this figure is ...
A = 8 + 4/2 -1 = 9
The area of the polygon is 9 square units.
_____
You can also get there by realizing the bounding rectangle is 4 units square. From that, corner triangles are cut. CW from upper left, those triangles have (base, height) dimensions of (3, 2), (1, 3), (3, 1), and (1, 2). So, the total of their areas is (1/2)(6 +3 + 3 +2) = 7 square units. The shaded area is then 16-7 = 9 square units, same as above.
<u>Answer:</u> x = 1/5 and y= -7/5
Step-by-step explanation: Let's solve your system by elimination.
Multiply the first equation by -3,and multiply the second equation by 1.
-3 (x - 2y = 3)
1 (3x - y = 2)
Becomes:
-3x + 6y = -9
3x -y = 2
Add these equations to eliminate x:
5y = -7
Then solve 5y = -7
5y/7 = -7/5
y = -7/5
Now that we‘ve found y, let’s plug it back in and solve for x.
Write down an original equation:
x - 2y = 3
<h3>
Substitute -7/5 for y in x - 2y = 3:</h3><h3>
x - 2 (-7/5) = 3</h3><h3>
x + 14/5 = 3</h3><h3>
x 14/5 + -14/5 = 3 + -14/5 (Add (-14)/5 to both sides)</h3><h3>
x = 1/5</h3><h3><u>
Answer: </u></h3><h3>x = 1/5 and y = -7/5</h3><h3 /><h3 /><h3 />
An 180-degreee rotation would return the square to its original position.
