Answer:
(4, 5)
Step-by-step explanation:
Calculate the midpoint using the midpoint formula
midpoint = [( + ), ( + ) ]
with (, ) = (1, 2) and (, ) = (7, 8)
midpoint = [(1 + 7), (2 + 8) ]
= (4, 5)
Answer:
The probability is 
Step-by-step explanation:
We can divide the amount of favourable cases by the total amount of cases.
The total amount of cases is the total amount of ways to put 8 rooks on a chessboard. Since a chessboard has 64 squares, this number is the combinatorial number of 64 with 8,
For a favourable case, you need one rook on each column, and for each column the correspondent rook should be in a diferent row than the rest of the rooks. A favourable case can be represented by a bijective function
with A = {1,2,3,4,5,6,7,8}. f(i) = j represents that the rook located in the column i is located in the row j.
Thus, the total of favourable cases is equal to the total amount of bijective functions between a set of 8 elements. This amount is 8!, because we have 8 possibilities for the first column, 7 for the second one, 6 on the third one, and so on.
We can conclude that the probability for 8 rooks not being able to capture themselves is

400.00 in scientific notation would be 4×<span>10^2</span>
Answer:
8.9 meters
Step-by-step explanation:
this seems like a problem where you can use the pythagorean theorem:
you know one of the two legs (6m) and the hypotenuse (9m), you must find the other leg
a^2 + 6^2 = 9^2
a^2 + 36 = 81
a^2 = 45
a =
or
·
which simplifies to be 3
or approx. 8.9 meters
Answer:
Step-by-step explanation:
a) is SAS (side , angle, side)
b) is SSA ( side , side angle) and also :P recognize you can't say (Angle Side, Side ) or the teacher will send you to the office for cussing :P