Answer:
904.9 in^3
Step-by-step explanation:
Given data
We are told that the ball is 12 inches in diameter
R= diamter/2= 12/2= 6 in
The volume of a sphere is given as
V= 4/3πr^3
substitute
V= 4/3*3.142*6^3
V= 4/3*3.142*216
V=2714.688/3
V=904.9 in^3
Hence the volume is 904.9 in^3
Answer:
∠ABC ≅ ∠DEC
∠DEC = ∠GEF
thus:
∠ABC = ∠GEF
∠GFE ≅ ∠DCE
∠DCE = ∠ACB
thus:
∠ACB = ∠GFE
If two of their angles are equal, then the third angle must also be equal, because angles of a triangle always add to make 180°.
thus: ΔABC ∼ ΔGEF by AA similar triangle postulate
I hope this helps
Part A: 2.56 * 1011 bits (scientific notation) (standard notation): 256,000,000,000 bits
Part B: (scientific notation): 5.12 * 1011 bits (standard notation): 512,000,000,000 bits
Part C: (scientific notation): 1.28 * 1011 bits (standard notation): 128,000,000,000 bits
Part D: (scientific notation): 6.4 * 1010 bits (standard notation): 64,000,000,000 bits
Part E: (scientific notation): 3.2 * 1011 bits (standard notation): 320,000,000,000 bits
we are given
we can see that
each terms are multiple of 2
so, we can factor out 2
we can divide both sides by 2
we can rearrange it
now, we can move 10 on right side
now, we can add both sides 7^2 and 5^2
we can simplify it
we can also write as
..............Answer
