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
-----
Answer:
-36m + 900 < 44m + 100
Step-by-step explanation:
Given that:
The first barrel contains 900 liters of the solution; &
The second barrel contains 100 liters of solution.
So, Laura drains the first barrel at the rate of 36 liters/ min
Since Laura is draining the solution in the first barrel;
Then; we have - 36m + 900 litres
Also; Laura fills the second barrel at a rate of 44 liters per minute.
Since Laura is filling the barrel; we have: 44m + 100
Therefore; the inequality representing when the second barrel contains a greater or equal amount of solution than the first barrel can be expressed as:
- 36m + 900 < 44m + 100
The vertical number line in a Cartesian coordinate system is called the vertical axis.
Good luck :)
Answer:
y= 3x^2 y= 3^x
1. 3. 3
2. 12. 9
Step-by-step explanation:
3(1)^1
3
3^1
3
3(2)^2
3(4)
12
3^2
9
