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
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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
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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
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Answer:
If two numbers have the same exponent for 10, then compare the decimal numbers to determine the greater number. Sometimes you may have to compare two numbers, but only one of them is in scientific notation. In that case, convert the number that is not in scientific notation into scientific notation first. Then, compare the two numbers. Example 1 : Compare 5.62 x 10 6 and 7.39 x 10 5.
Step-by-step explanation:
5.2 x 10^-3 - 2.58 x 10^-3 Since the exponents on the 10 part is the exact same you can just subtract the number parts
5.2 - 2.58 = 2.62
Add the x 10^-3 back to it and get 2.62 x 10^-3
Answer:
Shane must have collect 911 cans.
Step-by-step explanation:
Assume;
Cans collected by Shane = x
So,
Cans collected by Abha = x+178
Inequality
Cans collected by Shane + Cans collected by Abha ≥ 2,000
x + x + 178 ≥ 2,000
2 x ≥ 2,000 - 178
2 x ≥ 1,822
x ≥ 911
Shane must have collect 911 cans.
