The number of ways is 364 if the number of ways in which 4 squares can be chosen at random.
<h3>What are permutation and combination?</h3>
A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.
It is given that:
On a chessboard, four squares are randomly selected so that they are adjacent to each other and form a diagonal:
The required number of ways:
= 2(2[C(4, 4) + C(5, 4) + C(6, 4) + C(7, 4)] + C(8, 4))
= 2[2[ 1 + 5 + 15+35] + 70]
= 364
Thus, the number of ways is 364 if the number of ways in which 4 squares can be chosen at random.
Learn more about permutation and combination here:
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Given:
The function is:
To find:
The inverse of the given function, then draw the graphs of function and its inverse.
Solution:
We have,
Step 1: Substitute 
.
Step 2: Interchange x and y.
Step 3: Isolate variable y.
Step 4: Substitute 
.
Therefore, the inverse of the given function is and the graphs of these functions are shown below.
Note: The inverse function is 
.
The top one is 37° and the bottom is 143°.
Assuming that the lines are parallel, both angles added together should equal 180°. -13x+39 is equal to the angle next to -4x+5, and those angles are supplementary, meaning that they add up to 180°.
So if we write out the equation, it should look like this: (-13x+39)+(-4x+5)=180. If you add like terms, then you should get -17x+44=180. Then get x alone, so subtract 44 from both sides. You should get -17x=136. Finally, divide both sides by -17 to get x alone, and you should get x= -8.
To get the angle measurements, just plug in -8 to both equations. First do -4(-8)+5 and get 37°, and for the other one do -13(-8)+39 to get 143°.
Hope this helps :)
Answer:
16 hours
Step-by-step explanation:
0.5=30 mins of an hour
an hour=1.0
8.0 hours × 2= 16 hours
