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
-----
I have that and it says GK equals 36 and GI equals 16
Answer:
the answer should be 96
Step-by-step explanation:
hope this helps :)
10/1 = 43.5/x
cross multiply
10x=43.5
divide by 10 on each side
x = 4.35
it will take 4.35 minutes
Answer:
43
Step-by-step explanation:
Remove parenthesis.
−6+3(2−4⋅−3+6)−5
Multiply −4 by−3.
−6+3(2+12+6)−5
Add 2 and 12.
−6+3(14+6)−5
Add 14 and 6.
-6+3(20)-5
Multiply 3 by 20.
-6+60-5
Add -6+60.
54-5
Subtract 54 and 5.
43
