Pythagoras' theorem:
b^2 = c^2 - a^2
Substitute in the values:
b^2 = 13^2 - 12^2
b^2 = 25
Square root it
b = 5km
The answer is option B. 5km
Answer:
Number of Ways = ₄P₄ = 24
Step-by-step explanation:
Given that there are going to be 4 dignitaries, and that they are sensitive to the order (i.e the order of the dignitaries matter), hence the total number of ways they can be arranged can be found by permutating 4 dignitaries.
i.e
Number of Ways = ₄P₄ = 24
I don't see a table but I can give you the means to answer it yourself. The inverse function is represented by this:

where k is your constant. You are given a k value of 4. If you solve this for k then you will get xy=4. In your tables, multiply your x value by your y value within your coordinate points and if you get a product of 4 each time you multiply x by y, then that table is your answer.
Answer:
a) 4,096
b) 0.000244
Step-by-step explanation:
a)
By the Fundamental rule of counting, there are
4*4*4*4*4*4 = 4,096
ways of forming six-digit arrangements where each position has 4 possibilities (1 to 4)
b)
The probability of entering the correct code on the first try, assuming that the owner does not remember the code is
1/4096 = 0.000244
Answer:
The solution to the system of equations (x, y) = (2, 4) represents the month in which exports and imports were equal. Both were 4 in February.
Step-by-step explanation:
We're not sure what "system of equations" is being referenced here, since no equations are shown or described.
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Perhaps your "system of equations" is ...
f(x) = some equation
g(x) = some other equation
Then the solution to this system of equation is the pair of values (x, y) that gives ...
y = f(x) = g(x)
If x represents the month number, then the solution can be read from the table:
(x, y) = (2, 4)
This is the month in which exports and imports were equal. Both numbers were 4 in February.