There are 6720 ways by 8 distinguishable books be placed in 5 shelves.
According to statement
The number of books (n) is 8
The number of shelves (r) is 5
Now, we find the ways by which the 8 books be placed in 5 distinguishable shelves
From Permutation formula
P(n,r) = n! / (n-r)!
Substitute the values then
P(n,r) = 8! / (8-5)!
P(n,r) = (8*7*6*5*4*3*2*1) / (3*2*1)
P(n,r) = 8*7*6*5*4
P(n,r) = 6720
So, there are 6720 ways by 8 distinguishable books be placed in 5 shelves.
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Answer:
a=40
b=50
c= 115
Step-by-step explanation:
The first angle we will find is angle c
65 and angle c make a straight line so they add to 180
c+65 = 180
Subtract 65 from each side
c+65 -65 =180-65
c = 115
Angle a and 40 are vertical angles
Vertical angles are equal
angle a = 40
The sum of the angles in a triangle are equal to 180
a+b+ right angle = 180
40+ b + 90 = 180
130 +b = 180
Subtract 130 from each side
130-130+b = 180-130
b= 50
<span>(-2, y1), (6, 7) Slope = 1/2
slope = (y2-y1)/(x2-x1)
1/2 = (7 - y1) / (6 - -2)
1/2 = (7-y1) / 8
7-y1 = 8/2
7-y1 = 4
y1 = 7 - 4
y1 = 3
Answer: </span><span>(-2, 3), (6, 7) with Slope = 1/2
</span>proof:
slope = (y2-y1)/(x2-x1)
slope = (7 - 3) / (6 - -2)
slope = 4/8
slope = 1/2
A is 10 and 12
C is 4 and 8
