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:
Step-by-step explanation:
(-9-7)/(0-1)= -16/-1= 16
y - 7 = 16(x - 1)
y - 7 = 16x - 16
y = 16x - 9
Given:
A prism with right triangular base.
Base of triangle = 6 ft
Height of triangle = 8 ft
Height of prism = 7
To find:
The volume of the given prism.
Solution:
The volume of prism is:
...(i)
Where, B is the base area and h is the height of the prism.
In the given figure, the base of the prism is a right angle triangle with legs 6 ft and 8 ft. So, the area of the base is:




Substituting
in (i), we get


Therefore, the volume of the prism is 168 cubic ft.
Answer:y=-2/1x+12
Step-by-step explanation:
To find slope you need to use slope formula (y2-y1)/(x2-x1)
(2-4)/(5-4)
-2/1 is our slope
Now we need the y-int
Y=-2/1x+b
Take one of the given points and apply it to our equation
2=-2/1(5)+b
2=-10/1+b
2=-10+b
Add 10 to each side
12=b
Our final equation is
y=-2/1x+12