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LenKa [72]
2 years ago
13

Decide if each sentence uses assonance or consonance. Then, drag each answer to the correct box.

Mathematics
1 answer:
prisoha [69]2 years ago
8 0

Answer:

Assonance, Assonance, Consonance, Assonance - Last box can be seen as consonance because of -ea repetition but there is a constant repetition of the vowel -e.

Step-by-step explanation:

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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
Jane was asked to find the factors of 8. Here is her work: 8 × 1 = 8 8 × 2 = 16 8 × 3 = 24 Factors of 8: 8, 16, 24 Which stateme
Maru [420]

Answer:

Jane found multiples of 8.

Jane should have gotten 1, 2, 4, 8 as her answer.

Step-by-step explanation:

Factors : 1,2,4,8.

1*8=8

2*4=8

4 0
3 years ago
Write 17/25 as a percent
WINSTONCH [101]

Answer:

68%

Step-by-step explanation:

Times both the top and bottom number by 4.

6 0
3 years ago
Read 2 more answers
Choose the graph that represents the equation y=x-2
amid [387]

Step-by-step explanation:

The choices are not given but the graph looks like the above picture.

8 0
2 years ago
Read 2 more answers
What are the integer solutions to the inequality below?<br> <img src="https://tex.z-dn.net/?f=3%5Cleq%203x-4%5C%20%20%5Ctextless
Rudik [331]

Given:

The compound inequality is:

3\leq 3x-4

To find:

The integer solutions for the given compound inequality.

Solution:

We have,

3\leq 3x-4

Case 1: 3\leq 3x-4

3+4\leq 3x

\dfrac{7}{3}\leq x

2.33...\leq x             ...(i)

Case 2: 3x-4

3x-2x

x                  ...(ii)

Using (i) and (ii), we get

2.33...

The integer values which satisfy this inequality are only 3 and 4.

Therefore, the integer solutions to the given inequality are 3 and 4.

7 0
3 years ago
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