Vbox-vspheres
vbox=, I assume we are dealing with l=w=h
so
v=lwh=12^3=1728
vsphere=(4/3)pir^3
r=3
vsphere=(4/3)pi3^3=4pi9=36pi
8 of them so
8 times 36pi=288pi or about 904.7786842338604526772412943845 cubic inches
vbox-sphere=1728-904.7786842338604526772412943845=823.2213157661395473227587056155
space filled by packing beads is about 823.22 cubic inches
beads percent is 823.2213157661395473227587056155/1728 times 100=47.64% filled by beads
The answer will be 388.6 because you will use the formula V=pi.r^2.h.
pi we know is 3.14 we also know that radius is half the diameter so half of 5 is 2.5 and the height is 9 so here is what we have so far. V=3.14x2.5^2x9.
2.5x2.5=13.75 13.75x3.14=43.175 43.175x9=388.575 and if we round that it will be 388.6 so your answer is 388.6
What do you meen they are numbers
Answer:
x =
Step-by-step explanation:
If both the triangles ΔABC and ΔBCD are congruent,
Corresponding sides of both the triangles will be proportional.
![\frac{AB}{BD}=\frac{AC}{CD}](https://tex.z-dn.net/?f=%5Cfrac%7BAB%7D%7BBD%7D%3D%5Cfrac%7BAC%7D%7BCD%7D)
![\frac{5x}{3x+10}=\frac{5x-2}{4x+3}](https://tex.z-dn.net/?f=%5Cfrac%7B5x%7D%7B3x%2B10%7D%3D%5Cfrac%7B5x-2%7D%7B4x%2B3%7D)
5x(4x + 3) = (5x - 2)(3x + 10)
20x² + 15x = 15x² + 50x - 6x - 20
20x² + 15x = 15x² + 44x - 20
20x² - 15x² = 44x - 15x - 20
5x² = 29x - 20
5x² - 29x + 20 = 0
5x² - 25x - 4x + 20 = 0
5x(x - 5) - 4(x - 5) = 0
(5x - 4)(x - 5) = 0
![x=\frac{4}{5},5](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B4%7D%7B5%7D%2C5)
Answer: 1.333333333333333333334