Answer:
sin−1(StartFraction 8.9 Over 10.9 EndFraction) = x
Step-by-step explanation:
From the given triangle JKL;
Hypotenuse KJ = 10.9
Length LJ is the opposite = 8.9cm
The angle LKJ is the angle opposite to side KJ = x
Using the SOH CAH TOA Identity;
sin theta = opp/hyp
sin LKJ = LJ/KJ
Sinx = 8.9/10.9
x = arcsin(8.9/10.9)
sin−1(StartFraction 8.9 Over 10.9 EndFraction) = x
The answer is 5/9. I showed a bit more work on the other post
Solving RootIndex 3 StartRoot 8 EndRoot Superscript x we get 
Step-by-step explanation:
We need to find equivalent to RootIndex 3 StartRoot 8 EndRoot Superscript x
Writing in mathematical form:
![(\sqrt[3]{8})^x](https://tex.z-dn.net/?f=%28%5Csqrt%5B3%5D%7B8%7D%29%5Ex)
Solving:
We know 8= 2x2x2= 2^3
and ![\sqrt[3]{x}=x^{\frac{1}{3}}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%7D%3Dx%5E%7B%5Cfrac%7B1%7D%7B3%7D%7D)
Applying these rules:



So, solving RootIndex 3 StartRoot 8 EndRoot Superscript x we get 
Keywords: Radical Expression
Learn more about Radical Expression at:
#learnwithBrainly
Answer:
C. A horizontal stretch to produce a period of
and a vertical compression.
Step-by-step explanation:
We are given the parent function as 
It is given that, transformations are applied to the parent function in order to obtain the function
i.e. 
That is, we see that,
The parent function
is stretched horizontally by the factor of
which gives the function
.
Further, the function is compressed vertically by the factor of
which gives the function
.
Now, we know,
If a function f(x) has period P, then the function cf(bx) will have period
.
Since, the period of
is
, so the period of
is
= 
Hence, we get option C is correct.
Least to greatest, the triples are (2x, x²-1, x²+1). Thus the value in the first column of the table is half the value of the first of the triples. Your completed table will be
