i think it would be D i hope i helped
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
Answer:
16 years
Step-by-step explanation:
Let x represent the number of years. The suburb population is growing at a rate of 5000 per year after x years, it can be represented by the equation:
320000 + 5000x
The city population is declining at a rate of 14000 per year after x years, it can be represented by the equation:
624000 - 14000x
The number of years for the city and suburb population to be equal can be gotten from:
320000 + 5000x = 624000 - 14000x
14000x + 5000x = 624000 - 320000
19000x = 304000
x = 304000 / 19000
x = 16
In 16 years the populations of the suburb and the city be equal
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:
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