Answer:
Step-by-step explanation:
U= {A,B,C,D,E,F,G}
X = {A, B, C, D}
Y = {A, C, E, F}
a) X or Y = {A, B, C, D} and {A, C, E, F} = {A, B, C, D, E, F}
B) X and Y = {A, B, C, D} or {A, C, E, F} = {A, C}
c) Complement of X = {A,B,C,D,E,F,G} - {A, B, C, D} = {B,D,G}
Answer:
216
Step-by-step explanation:
A=2(wl+hl+hw)=2·(12·2+6·2+6·12)=216
Answer:
P=7
Step-by-step explanation:
If the numbers after the decimal terminate, yes, it's rational.
9.521521521 = 9,521,521,521 / 1,000,000,000
If they don't terminate, but the pattern continues (which I suspect is the case here), yes, it's still rational.
If <em>x</em> = 9.521521521…, then
1000<em>x</em> = 9521.521521521…
Subtract <em>x</em> from this to eliminate the fractional part:
1000<em>x</em> - <em>x</em> = 9521.521521521… - 9.521521521…
999<em>x</em> = 9512
<em>x</em> = 9512/999
If they don't terminate, but the pattern does <em>not</em> continue, meaning the next few digits could be something random like
9.521521521<u>19484929271283583457</u>…
then the number would be irrational.
Answer:
32/45
Step-by-step explanation:
2/3 : 3/2 : 5/8
Remember, a ratio and a fraction are both division. Therefore you can rewrite the problem like so:
2/3 ÷ 3/2 ÷ 5/8
Dividing fractions is the same as multiplying them by the reciprocal.
2/3 * 2/3 * 8/5
Now simplify:
32/45
32 and 45 have no common factor, hence the final answer is 32/45
