Answer:
40,320.
Step-by-step explanation:
We are asked to find the number of ways in which 8 books could be arranged on a shelf.
The 1st could be arranged in 8 ways. Since one place is filled, so 2nd book could be arranged in 7 ways.
Similarly, the 3rd book could be arranged in 6 ways as first two places are already taken. This process will go on.
So the 8 books can be arranged in 

Therefore, 8 books could be arranged in 40,320 ways.
Answer:
x = 4
Step-by-step explanation:
7x + 8 = 5x + 16
- 8 = - 8
7x = 5x + 8
-5x = -5x
2x = 8
/2 = /2
x = 4
Answer: Geometric space, and plane.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Triangle IGH is a right angle triangle.
From the given right angle triangle
GI represents the hypotenuse of the right angle triangle.
With m∠I as the reference angle,
HI represents the adjacent side of the right angle triangle.
GH represents the opposite side of the right angle triangle.
To determine Hl, we would apply the tangent trigonometric ratio
Tan θ = opposite side/adjacent side. Therefore,
Tan 42 = 11/HI
0.9HI = 11
HI = 11/0.9
HI = 12.22