Mrs. Barto has a pet rabbit and wants to build a pen for it. She has 3 pieces of lumber: one is 3 ft, one is 7 ft, and the other
1 answer:
Answer:
Yes, it is possible
Step-by-step explanation:
In a triangle, the length of the longest side of the triangle cannot be larger than the sum of the lenghts of the two shortest sides.
In formula, this means that:
where
c is the length of the longest side
a, b are the lengths of the shortest side
In this problem, we want to build a triangle using 3 pieces of lumber, each of length:
a = 3 ft
b = 7 ft
c = 8 ft
We can verify that the length of the longest piece of lumber is less than the sum of the lengths of the other two sides, so:
Therefore, yes, it is possible to build a closed triangular pen.
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The average value of a continuous function <em>f(x)</em> over an interval [<em>a</em>, <em>b</em>] is given by the integral,
Compute the integral for <em>f(x)</em> = <em>e</em> ⁻ˣ over [0, 3] :
Answer:
The relation between m and n is , m = n
Step-by-step explanation:
Given as :
The average for n class = 0.82 = 82%
The average for m class = 0.78 = 78%
The average for ( m + n ) class = 80%
So , = 82%
And = 78%
And , = 80%
So , 0.82×n + 0.78×m = 0.80× (m+n)
Or, 0.82×n - 0.80×n = 0.80×m - 0.78×m
Or, 0.02×n = 0.02×m
Or, =
∴ = 1
I.e m = n
Hence The relation between m and n is , m = n Answer