Answer:
10 possible outcomes
S = {a6, a7, e6, e7, i6, i7, o6, o7, u6, u7}
Step-by-step explanation:
As there are 5 vowels and 2 numbers that have to be chosen, the total outcomes are
= 5x2 = 10
Each vowel can be chosen with 6 or with 7
Let S be the sample space
a vowel will be chosen first then there is possibility that either the number chosen with it is either 6 or 7 so each vowel will have two possible outcomes with the number
S = {a6, a7, e6, e7, i6, i7, o6, o7, u6, u7} ..
Answer:
Step-by-step explanation:
Prime factorize the given number. All factors should have pair. If all factors have pair, then it is a perfect square
EG: 36 : Factors of 36 are 2,3,2,3. Here there are two 2's and two 3's. so 36 is a perfect square.
EG: 24: Factors of 12 are 2,2,3. Here 3 is without pair. so it is not a perfect square.
surface area (S) of a right rectangular solid is:
S = 2*L*W + 2*L*H + 2*W*H (equation 1)
where:
L = length
W = width
H = height
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you have:
L = 7
W = a
H = 4
-----
formula becomes:
S = 2*7*a + 2*7*4 + 2*a*4
simplify:
S = 14*a + 56 + 8*a
combine like terms:
S = 22*a + 56
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answer is:
S = 22*a + 56 (equation 2)
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to prove, substitute any value for a in equation 2:
let a = 15
S = 22*a + 56 (equation 2)
S = 22*15 + 56
S = 330 + 56
S = 386
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since a = 15, then W = 15 because W = a
go back to equation 1 and substitute 15 for W:
S = 2*L*W + 2*L*H + 2*W*H (equation 1)
where:
L = length
W = width
H = height
-----
you have:
L = 7
W = 15
H = 4
-----
equation 1 becomes:
S = 2*7*15 + 2*7*4 + 2*15*4
perform indicated operations:
S = 210 + 56 + 120
S = 386
-----
surface area is the same using both equations so:
equations are good.
formula for surface area of right rectangle in terms of a is:
S = 22*a + 56
-----
Answer:
distributivity/distributive property
Answer:
Exact Form:
21/25
Decimal Form:
0.84
Step-by-step explanation:
<em>Reduce the expression, if possible, by cancelling the common factors.</em>
