Answer:
52.33%
Step-by-step explanation:
Since, all six sides of the box are touching the ball.
So, all the three dimensions of the box are equal.
Hence, it is a cubical box.
Side length of the box (l)
= diameter of the ball
= 2*radius of the ball
= 2*5
= 10 In.







Percentage of the space in the box occupied by the ball





Answer:
The correct option is B. The area of the figure is 40.4 units².
Step-by-step explanation:
The line AB divides the figure in two parts one is a rectangle and another is semicircle.
The distance formula is

The length of AB is

The length of AD is

Since AB=AD, therefore ABCD is a square. The area of the of square is

The area of square is 29 units².
The area of a semicircle is

Since AB is the diameter of the semicircle, therefore the radius of the semicircle is

The area of the semicircle is

The area of the figure is

Therefore the area of the figure is 40.4 units². Option B is correct.
The answer of 74 divided by 8 hope this helps
Answer:
Cyclist A lives farther from the Orchard
Step-by-step explanation:
Given


Required:
Who lives farther from the Orchard.
To do this, we simply calculate the y intercept.
This represents the total distance traveled to get to the Orchard
To calculate y intercept, we set 
So:




From the above computation:

Hence;
Cyclist A lives farther from the Orchard
Answer:
A
Step-by-step explanation:
The number is decreased by 23 which means 23 is subtracted from the number.
let the number be x, then
x - 23 = 44 ( add 23 to both sides )
x = 67
The number is 67