Answer:
The other answer I saw is the same way that I used to explain in my class as well. But, there's an alternative way to reach the answer as well
First thing that we should know is that if there are 'n' units kept in a row, then there are 'n+1' gaps generated by them. So, what we should understand is that when there is no item there is 1 gap, when there is one item there are 2 gaps, and so on.
Let us use that concept here, with a small variation: the 5 shelves are 5 initial gaps. The first book has 5 choices (5 initial gaps) to go to. Once we have placed this book, there are now 6 gaps on which the 2nd book can be placed. After the 2nd book is placed, there are 7 gaps in which 3rd book can be placed, and so on.
So, the total arrangements will be = 5*6*7*...24 [as there are 20 books] = 24P20
Answer:
- WX =
- XY =
- WY =
- Classify: Isosceles
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Explanation:
Apply the distance formula to find the length of segment WX
W = (x1,y1) = (-10,4)
X = (x2,y2) = (-3, -1)
Segment WX is exactly 
units long which approximates to roughly 8.6023253
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Now let's find the length of segment XY
X = (x1,y1) = (-3, -1)
Y = (x2,y2) = (-5, 11)
Segment XY is exactly 
units long which approximates to 12.1655251
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Lastly, let's find the length of segment WY
W = (x1,y1) = (-10,4)
Y = (x2,y2) = (-5, 11)
We see that segment WY is the same length as WX.
Because we have exactly two sides of the same length, this means triangle WXY is isosceles.
Answer:
k > -9
Step-by-step explanation:
Subtract 12 from both sides as we want to isolate k-
30 - 12 = 18
-2k < 18
Divide both sides by -2
18/-2 = -9
k > -9
Answer:
$13540
Step-by-step explanation:
Divide 100 from $59000 in which you get 1% of that worth. If he gets 6% of that commission rate then he would get $3540 since 1% is $590 and you multiply by 6 to get that number. Since he makes $10000 a month as stated, you would then add the amount $3540 for his salary to get $13540.
