Answer:
x ≈ 11.5° or 168.5°
Step-by-step explanation:
csc² x − 5 csc x = 0
Factor:
csc x (csc x − 5) = 0
Set each factor to 0 and solve:
csc x = 0
sin x = undefined
no solution
csc x − 5 = 0
csc x = 5
sin x = 1/5
x = arcsin(1/5)
x ≈ 11.5° or 168.5°
1) Sketching it
Since the line segment AD = 10x -5 and AC= 3x +1 and CD= 15
According to the Segment Addition postulate we can write:
3x+1+15=10x-5 <em>Combining like terms</em>
3x +16 = 10x -5 <em>Subtract 16 from both sides</em>
3x = 10x-5-16 Subtract 10x from both sides
3x-10x =-21
-7x = -21
7x=21 <em>Dividing by 7 on both sides</em>
x=3
x equals 4 and y equals 5 . so the formula would be 5x+12y=80 and if we need 4 of the small boxes we sub x for 4 and we get 5(4) =20. Next, 80 minus 20 is 60, and the equation would now be 12y=60. we now divide both sides by 12 and we get left with y=5. 5x + 12y = 80 5(4) + 12(5)=80 20+60=80. That is all. I hope that doesn't sound confusing
The domain of f /g consists of numbers x for which g(x) does not equal to 0 that are in the domains of f and g.
According to the statement
we have given that the The domain of f /g consists of numbers x And we have to find the value of the g(x).
So, For this purpose, we know that the
Domain of a function is the set of all possible inputs for the function.
And according to definition it is clear that the , domain is the input value of the function,
And it is impossible that the function have a 0 zero input value in the functions f(x) and the g(x).
Every function have at least 1 domain or input value.
So, The domain of f /g consists of numbers x for which g(x) does not equal to 0 that are in the domains of f and g.
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Answer:
Step-by-step explanation:
The formula to find the area of a circle is
We know that
Therefore the area is
