Divide the width of the shelf by the widthof the books.
First rewrite feet as inches:
1 foot = 12 inches.
3 1/2 feet x 12 inches per foot = 42 inches
Now divide the width of the shelf by the width of the book:
Now you have 42 / 5/8
When dividing by a fraction flip the second fraction over and change division to multiplication:
42 x 8/5
Now Multiply across:
7/2 x 8/5 = (42 x 8) /5 = 336/5 = 67.2
Round to the nearest whole number: 67
The shelf will hold 67 books.
Let (x,y) be an arbitrary point on the circle.
Then d = √[x-3)2 + (y-0)2] = √[x2 - 6x + 9 + y2]
Since x2 + y2 = 1, y2 = 1-x2.
So, d = √[x2 - 6x + 9 + 1 - x2]
d = √(-6x+10)
Domain: x is the x-coordinate of a point on the circle centered at (0,0) with radius 1. So, -1≤x≤1.
But, for d to be defined, we need -6x+10 ≥ 0. So, x ≤ 5/3 (True for all x in [-1,1]).
Domain = [-1,1]
Range: -1 ≤ x ≤ 1 So, 6 ≥ -6x ≥ -6
16 ≥ -6x+10 ≥ 4
4 ≥ √(-6x+10) ≥ 2 That is, 2 ≤ d ≤4
Range: [2,4]
Step-by-step explanation:
Answer: 9/10
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