<h3>Given</h3>
- a rectangle x units wide and y units high divided into unit squares
<h3>Find</h3>
- The total perimeter of the unit squares, counting each line segment once
<h3>Solution</h3>
For each of the y rows of squares, there are x segments at the top, plus another x segments at the bottom. The total number of horizontal segments is then
... horizontal segment count = (y +1)x
Likewise, for each of the x columns of squares, there are y segments to the left, plus another y segments to the right of the entire area. Then the total number of vertical segments is
... vertical segment count = (x+1)y
The total segment count is ...
... total segments = horizontal segments + vertical segments
.. = (y+1)x +(x+1)y
... total segments = 2xy +x +y
_____
<u>Check</u>
We know a square (1×1) has 4 segments surrounding it.
... count = 2·1·1 +1 +1 = 4 . . . . (correct)
We know the 3×3 window in the problem statement has 24 segments.
... count = 2·3·3 +3 +3 = 18 +3 + 3 = 24 . . . . (correct)
We know a 1×3 row of panes will have 10 frame elements.
... count = 2·1·3 +1 +3 = 6 +1 +3 = 10
It looks like our formula works well.
Marlene owes a total of $20,710.75 in taxes.
If we are using the same tax schedule then $95,000 belongs to this bracket:
Over - But not over - of the excess over -
$77,100 but not over $160,850.. 15,698.75 plus 28% 77,100
Get the 28% of the difference between $95,000 and $77,100:
$95,000 - $77,100 = $17,900
$17,900 * .28 = $5,012
$15,698.75 + $5,012 = $20,710.75
Answer:
it depends in how many marbles there were in total add more details and then I'll give more help
Step-by-step explanation:
LCM of 36 and 45 The LCM of 36 and 45 is 180. To find the LCM, list the multiples of each number. The first one that both numbers have in common is the LCM. 36: 36, 72, 108, 144, 180, 216 45: 45, 90, 135, 180, 225 The first multiple they have in common is 180, so it is the LCM. this is wrong.......
