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
Answer:
72
Step-by-step explanation:
Find the prime factorization of 18
18 = 2 × 3 × 3
Find the prime factorization of 24
24 = 2 × 2 × 2 × 3
Multiply each factor the greater number of times it occurs in steps above to find the LCM:
LCM = 2 × 2 × 2 × 3 × 3
LCM = 72
i hope this helps :)
Answer:
<A = 18.6 Degree
<B =74.4 Degree
<C = 87 Degree
Step-by-step explanation:
Sum of all the angles of triangle is 180
as given ,
<A = ?
<B = 4<A
<C = 5 <A - 6
As per rule ,
<A + <B +<C = 180
<A + 4 <A + 5<A - 6 = 180
10 <A - 6 = 180
10 <A = 180 + 6
<A = 186 / 10
<A = 18.6 Degree
Hence ,
< B = 4 X (18.6)
< B = 74.4 Degree
and
<C = 5 (18.6) - 6
<C = 87 Degree
PROOF
<A + <B + <C = 180
18.6 + 74.4 + 87 = 180
180 = 180
Answer:
B. slope
Step-by-step explanation:
