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krek1111 [17]
3 years ago
10

Need help if want points.choose your answer​

Mathematics
1 answer:
Arisa [49]3 years ago
6 0
I’m not sure so I’m gonna take an educated guess. I think it’s 1/3x
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Solve the equation on the interval [0,2π]
WARRIOR [948]
\bf 16sin^5(x)+2sin(x)=12sin^3(x)
\\\\\\
16sin^5(x)+2sin(x)-12sin^3(x)=0
\\\\\\
\stackrel{common~factor}{2sin(x)}[8sin^4(x)+1-6sin^2(x)]=0\\\\
-------------------------------\\\\
2sin(x)=0\implies sin(x)=0\implies \measuredangle x=sin^{-1}(0)\implies \measuredangle x=
\begin{cases}
0\\
\pi \\
2\pi 
\end{cases}\\\\
-------------------------------

\bf 8sin^4(x)+1-6sin^2(x)=0\implies 8sin^4(x)-6sin^2(x)+1=0

now, this is a quadratic equation, but the roots do not come out as integers, however it does have them, the discriminant, b² - 4ac, is positive, so it has 2 roots, so we'll plug it in the quadratic formula,

\bf 8sin^4(x)-6sin^2(x)+1=0\implies 8[~[sin(x)]^2~]^2-6[sin(x)]^2+1=0
\\\\\\
~~~~~~~~~~~~\textit{quadratic formula}
\\\\
\begin{array}{lcccl}
& 8 sin^4& -6 sin^2(x)& +1\\
&\uparrow &\uparrow &\uparrow \\
&a&b&c
\end{array} 
\qquad \qquad 
sin(x)= \cfrac{ -  b \pm \sqrt {  b^2 -4 a c}}{2 a}
\\\\\\
sin(x)=\cfrac{-(-6)\pm\sqrt{(-6)^2-4(8)(1)}}{2(8)}\implies sin(x)=\cfrac{6\pm\sqrt{4}}{16}
\\\\\\
sin(x)=\cfrac{6\pm 2}{16}\implies sin(x)=
\begin{cases}
\frac{1}{2}\\\\
\frac{1}{4}
\end{cases}

\bf \measuredangle x=
\begin{cases}
sin^{-1}\left( \frac{1}{2} \right)
sin^{-1}\left( \frac{1}{4} \right)
\end{cases}\implies \measuredangle x=
\begin{cases}
\frac{\pi }{6}~,~\frac{5\pi }{6}\\
----------\\
\approx~0.252680~radians\\
\qquad or\\
\approx~14.47751~de grees\\
----------\\
\pi -0.252680\\
\approx 2.88891~radians\\
\qquad or\\
180-14.47751\\
\approx 165.52249~de grees
\end{cases}
3 0
3 years ago
Find the measure of the angles(S) <br><br> Please help
kolbaska11 [484]

Answer:

10°

Step-by-step explanation:

the sum of interior angles of triangle is 180°

so. 8x+x+90°=180°

9x=90°

x=10°

4 0
2 years ago
6(−2g−1)=−(13g+2) Solve for g
san4es73 [151]

Answer:

The solution is g = 4

Step-by-step explanation:

* 6(-2g - 1) = -(13g + 2)

- We need to solve it to find the value of g

- Let us simplify each side and then solve the equation

∵ 6(-2g - 1) = (6)(-2g) - (6)(1)

∴ 6(-2g - 1) = -12g - 6

∴ The simplify of 6(-2g - 1) is -12g - 6 ⇒ (1)

∵ -(13g + 2) = -13g - 2

∴ The simplify of  -(13g + 2) is -13g - 2 ⇒ (2)

- Equate (1) and (2)

∴ -12g - 6 = -13g - 2

- Add 13g to both sides

∴ g - 6 = - 2

- Add 6 to both sides

∴ g = 4

* The solution is g = 4

5 0
3 years ago
Read 2 more answers
Darius buys a bottle of a chemical solution that contains 70% alcohol. The bottle contains 500 ml of solution. How many millilli
mars1129 [50]
It is. 7.17285714285714 you can stop at the thousands
8 0
3 years ago
Read 2 more answers
URGENT!!! I NEED THIS DONE TONIGHT PLEASE HELP!!!! I'LL MARK YOU AS BRAINLIST!!!
Juliette [100K]
My teacher told me this was -4,4 but i’m not sure
5 0
3 years ago
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