<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.
Answer:
The answer is 3, 6.
Step-by-step explanation:
The numbers in the top rows on the left side of the equation is 1, 4 and 2, 2.
1, 4 + 1, 2 = (1 + 2), (4 + 2) = 3, 6
Answer:
NO
Step-by-step explanation:
If the bank account has a fee of $2 per month, it means that at the end of the year you will have $500 - $2 × 12 = 476.
If it pays 2% per year, then, at the end of the year you will receive: $476×0.02 = $9.52.
If you go ahead you will lose money ($14,48) . In order to earn money, you need to put more money.
<h3>
Answer: Choice C</h3>
cos(a - b) = cos(a)cos(b) + sin(a)sin(b)
In this case, we'd have a = 180 and b = q, so,
cos(a-b) = cos(a)cos(b) + sin(a)sin(b)
cos(180 - q) = cos(180)cos(q) + sin(180)sin(q)
cos(180 - q) = -1*cos(q) + 0*sin(q)
cos(180 - q) = -cos(q) + 0
cos(180 - q) = -cos(q)
Answer:the 1st one is x=√66 or x=−√66 2nd is x=0 or x=8
Step-by-step explanation:
