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r-ruslan [8.4K]
3 years ago
12

​ solve it

Mathematics
1 answer:
Mademuasel [1]3 years ago
5 0

Answer:

\frac{257357187500}{19683}

Step-by-step explanation:

We can convert these mixed fractions to ordinary fractions.

4(1/3)=\frac{(4*3)+1}{3}=\frac{13}{3}

3(1/3)=\frac{10}{3}

3(1/2)=\frac{7}{2}

9(3/4)=\frac{39}{4}

Then we have:

\frac{13}{3}*(\frac{10}{3}*\frac{7}{2})^{7}*\frac{4}{39}

\frac{257357187500}{19683}

I hope it helps you!

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Angle α lies in quadrant II , and tan α = <img src="https://tex.z-dn.net/?f=-%5Cfrac%7B12%7D%7B5%7D" id="TexFormula1" title="-\f
Hunter-Best [27]

Since \alpha lies in quadrant II and \beta lies in quadrant IV, we expect \sin\alpha>0, \cos\alpha, and \sin\beta.

Recall the Pythagorean identities,

\sin^2x+\cos^2x=1\iff1+\cot^2x=\csc^2x\iff\tan^2x+1=\sec^2x

It follows that

\sec\alpha=\dfrac1{\cos\alpha}=-\sqrt{\tan^2\alpha+1}=-\dfrac{13}5\implies\cos\alpha=-\dfrac5{13}

\sin\alpha=\sqrt{1-\cos^2\alpha}=\dfrac{12}{13}

\sin\beta=-\sqrt{1-\cos^2\beta}=-\dfrac45

Recall the angle sum identity for sine:

\sin(\alpha+\beta)=\sin\alpha\cos\beta+\sin\beta\cos\alpha

So we have

\sin(\alpha+\beta)=\dfrac{12}{13}\dfrac35+\left(-\dfrac45\right)\left(-\dfrac5{13}\right)=\boxed{\dfrac{56}{65}}

4 0
3 years ago
Ken spent 1/5 of his allowance on a movie, 3/8 on snacks, and 2/7 on games. If his allowance was $20, how much did Ken have left
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4 years ago
Read 2 more answers
PLEASE HELPPPP<br><br> 4(x−2 1/4)=−3.7
LekaFEV [45]

First let’s convert the mixed numbers to improper fractions 2 1/4 =9/4
Then u get 4(X-9/4) =-3.7
Now your gonna divide both sides by four
4(X-9/4) over 4 = -3.7 over 4
4/4 =1 …X=-9/4
-3.7/4 = -0.925
Now you’re going to add 9/4 to each side
X-9/4+9/4=-0.925 +9/4
-9/4 + 9/4 =0 (X)
Now you have just -0.925 and nine fourths
I converted 9/4 —> 2.25
Then u still have -0.925
So add 2.25+-0.925 u get ur X which is 1.325 (this is ur answer)
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3 years ago
A student Is asked to find the sum of 297 +613. Which expression can the student use to find
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Answer:

The student can used

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Step-by-step explanation:

It is because the sum is unknown , and we can imagine it as "x". This, we formed a equation.

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3 years ago
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Angelina_Jolie [31]

Answer:

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Step-by-step explanation:

first you subtract 10 from both sides to find x

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BUT since you are dividing by a negative number the sign will have to flip

so the answer will be

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