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:
13
Step-by-step explanation:
17-10+6
7+6=13
hope it helps
First find midpoint of AB and lastly find the length of midpoint and C
Answer:
Her total run is 0.81 miles.
Step-by-step explanation:
Consider the provided information.
The provided information can be visualized by the figure 1.
The path she covers represent a right angle triangle, where the length of two legs are given as 0.19 and 0.28.
Use the Pythagorean theorem to find the length of missing side.
Where, <em>a</em> and <em>b</em> are the legs and <em>c</em> is the hypotenuse of the right angle triangle.
The provided lengths are 0.19 and 0.28.
Now, calculate the missing side.
Thus, the total distance is:
0.34 + 0.19 + 0.28 = 0.81
Therefore, her total run is 0.81 miles.
