Answer: 2500
Step-by-step explanation:
12 divided by 478=0.02510460251
12 divided by 336=0.03571428571
33 divided by 2242=0.01471900089
these r the answers
idk if itl help cause i didnt exactly do what the question was asking to do but i hope this helps
Explanation:
a)


b) First, we have that

On the other hand,

Therefore, both expressions are equal. This makes sense, because selecting k elements from a group of n is the same than specify which elements you will not select. In order to specify those elements you need to select the n-k elements that will not be selected. Hence, each time you are selecting k from n, you are also selecting n-k from n, and from that reason both combinatorial numbers are equal.
Answer:
the function's period
Step-by-step explanation:
A periodic function has the same values in the same sequence for each period of the function. The nail will return to the same orientation after any integer number of full periods of the function.
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➷ Just work with what is inside the parenthesis
Also, move around the terms to help it make more sense:
(cosA cosB - cosA cosB + sinA sinB + sinA sinB)
As you can see, the 'cosA cosB' would cancel out through subtraction.
Now we have this:
(sinA sinB + sinA sinB)
This is just two sets of sinA sinB so it can be written as:
(2 * sinA sinB)
Simply place the values outside the parenthesis back there to get the answer
SinA sinB = 1/2 * (2 * sinA sinB)
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