Answer:

Step-by-step explanation:
Divide both sides by the numeric factor on the left side, then solve.

If you're using the app, try seeing this answer through your browser: brainly.com/question/2094473_______________
Both refer to the inverse sine function.
The inverse sine (or arcsine) of x:

where x is a real number in the domain of the function:

and the arcsine function returns an angle in the interval
![\mathsf{\left[-\,\frac{\pi}{2},\,\frac{\pi}{2}\right]:}](https://tex.z-dn.net/?f=%5Cmathsf%7B%5Cleft%5B-%5C%2C%5Cfrac%7B%5Cpi%7D%7B2%7D%2C%5C%2C%5Cfrac%7B%5Cpi%7D%7B2%7D%5Cright%5D%3A%7D)

So if you see anywhere one of these expressions below

then you should look for an angle

that satisfies the following conditions:

This angle

is called the inverse sine of the real number x.
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Pay attention and do not mistake the arcsine function for the reciprocal of sine (which is cosecant); especially if you prefer or see that notation with an superscript -1. This one can be easily mistaken for an exponent:

but the reciprocal is something like
![\mathsf{\big[sin(x)\big]^{-1}=\dfrac{1}{sin\,(x)}=csc(x)\qquad\quad(!!)}](https://tex.z-dn.net/?f=%5Cmathsf%7B%5Cbig%5Bsin%28x%29%5Cbig%5D%5E%7B-1%7D%3D%5Cdfrac%7B1%7D%7Bsin%5C%2C%28x%29%7D%3Dcsc%28x%29%5Cqquad%5Cquad%28%21%21%29%7D)
and this last one has a total different meaning.
I hope this helps. =)
<h3>
Answer: Choice C</h3>
P = 11/40 + 1/4 - 1/20
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Explanation:
The formula we use is
P(A or B) = P(A) + P(B) - P(A and B)
In this case,
- P(A) = 22/80 = 11/40 = probability of picking someone from consumer education
- P(B) = 20/80 = 1/4 = probability of picking someone taking French
- P(A and B) = 4/80 = 1/20 = probability of picking someone taking both classes
So,
P(A or B) = P(A) + P(B) - P(A and B)
P(A or B) = 11/40 + 1/4 - 1/20
which is why choice C is the answer
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Note: P(A and B) = 1/20 which is nonzero, so events A and B are not mutually exclusive.
Answer:
x = - 18
Step-by-step explanation:
Add the opposite of the constant on the left:
-2/3x = 21/4 +27/4 = 48/4 = 12
Multiply the equation by the inverse of the coefficient of x:
x = (-3/2)(12) = -18
The solution is x = - 18
Answer:
The two number are:

Step-by-step explanation:
- Let 'x' be the first number
- let 'y' be the second number
Given that one number is 4 times another number, the first equation is

Next, the sum of their reciprocals is 5, so

Now, we have the system of equations

Let us solve the system of equations

substitute y = 4x in the equation 

Least Common Multiple of x, 4x: 4x
Adjust fractions based on L.C.M



Multiply both sides by 4x

Simplify

switch sides

Divide both sides by 20

Simplify

For y = 4x, substitute 



Therefore, the two number are:

<u>Verification:</u>

substituting 



L.H.S = R.H.S
and

substituting 

