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briannaalvarado256
04.11.2020 •
Mathematics
A box has a bottom with one edge 5 times as long as the other. If the box has no top and the volume is fixed at V, what dimensions minimize the surface area
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Ответ:
Step-by-step explanation:
Given that:
Let the others be = b
One of the bottom edge is five times longer than the others
i.e. L= 5b
The Volume of a box = L × b × h
V = 5b²h
where; V is constant
Differentiating with respect to t
2h(db) = -b(dh)
Therefore, the surface area = lb + 2bh + 2lh ; since there is no top.
A = 5b² + 2bh + 10bh
A = 5b² + 12bh
When A is minimum,
= 0
10b(db) + 12b(dh) + 12h(db) = 0
10b(db) + 12h(db) = 24h(db)
10b = 12h
5b = 6h
Recall that
l = 5b and L × b × h = V
Thus;
5b × b ×
= V
L = 5b
h =![\dfrac{5b}{6}](/tpl/images/0866/7254/8de8c.png)
Ответ:
D
Step-by-step explanation:
Probability that the die will show an even number
in one rolling is 3/6=0,5 = p
We have formula for repeating rolling
n!/(r!(n-r)!) p^r (1-p)^(n-r)
n = how many times we repeat rolling = 6
r = how many times we want something to happen
(show an even number exactly two times) = 2
15 *(0,5)^2 *(0,5)^4 = 0,234375