The statement that is false about perpendicular lines is that the never intersect, making the answer equal to C.
Answer:
4 inches
Step-by-step explanation:
The surface area, A of a right square pyramid is given by :
A = a² + 2as
Where, s = height of each triangular surface = x
a = base edge of pyramid
Substituting values into the equation :
A = 84 in² ; a = 6 in ; Slant height, s = x
84 = 6² + 2(6 * x)
84 = 36 + 2(6x)
84 = 36 + 12x
84 - 36 = 12x
48 = 12x
48/12 = 12x / 12
4 = x
Hence, Slant height, x = 4 inches
If the 4 states have to be in a specific order say ABCD,
then the total number of different possible routes is:
43P4 = 2,961,840
So the probability is:
1 / 2,961,840 = 3.38 x 10^-7
But if the 4 states can be in any order such as DBAC,
ACBD etc, then the total number of different possible routes is:
43C4 = 123,410
So the probability is:
1 / 123,410 = 8.1 x 10^-6
No I don’t think it is practical to list all the
different possible routes to select the one that is best. We can simply use
mathematical models to solve for that one.
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