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Nezavi [6.7K]
3 years ago
6

Luke shaded 20 squares on his hundreds grid Bella shaded 30 squares on her grid what two decimals are greater than Luke's decima

l but less than Bekka decimal
Mathematics
2 answers:
DanielleElmas [232]3 years ago
5 0
I think it could be any 2 in between because it says greater than Luke's decimal which is .20 and less than Bekkas decimal which is .30
LenaWriter [7]3 years ago
5 0
It can be any decimal between 0.20 and 0.30, so the choices are .21, .22, .23, .24.....and so on
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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
Mike owes his friend $6. Each day, Mike earns $3 per day.
raketka [301]

Answer:

the x intercept would mean the number of days and y would mean the amount theyre making

Step-by-step explanation:

8 0
2 years ago
I need a 4 letter code Please help fast!
anzhelika [568]
The correct answer is POMS
5 0
3 years ago
How to solve 3x/7 - 1/2 = 1/14
nlexa [21]

Answer: 4/3

Step-by-step explanation:

First off, we should all get the denominators to be the same.

14 is the LCM of each of the denominators, so:

3x / 7 times 2/2 = 6x/14

-1/2 times 7/7 = -7/14

and 1/14 is 1/14

So now we have

6x/7 + -7/14 = 1/14

We can multiply everything by 14 to get rid of the denominator completely, which leaves us with:

6x - 7 = 1

Then we just solve like a normal equation:

6x = 8

x = 8/6 , or 4/3

8 0
3 years ago
Answer me step by step detailed
KengaRu [80]

Answer:

$11.25

Step-by-step explanation:

When finding a discount that has a percentage, we have to multiply the amount of the specific item being discounted and the percentage of the discount. In this case, we have a forty-five dollar headset at a twenty-five percent discount rate. To find the price, multiply the amount of the headset by the percentage of the discount.

$45 * 25%

$11.25

Meaning that the price of the discount will be eleven dollars and twenty five cents.

8 0
2 years ago
Read 2 more answers
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