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aalyn [17]
4 years ago
6

Marty ate 4/6 of his pizza Luis ate 5/6 of his. Marty ate more pizza than Luis how is that possible

Mathematics
2 answers:
Ksivusya [100]4 years ago
8 0
If you simplify 4/6, it comes out to 2/3. Basically because of the fraction size, it looks like Mary ate more because of the simplified denominator of 4/6 is smaller. Luis actually ate more pizza than Mary.
Ugo [173]4 years ago
7 0
It is not posible because 4/6 is lesser than 5/6
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photoshop1234 [79]

Answer:

6\sqrt{3}i-6j

Step-by-step explanation:

Given:

The magnitude, v=12

The angle \alpha it makes with the positive​ x-axis =150^0

Now for a vector (x,y)

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Therefore:

150 =tan^{-1}(\frac{y}{x} )\\\frac{y}{x} =tan 150\\\frac{y}{x}=-\frac{\sqrt{3} }{3}

y=-\frac{x \sqrt{3}}{3}

Similarly:

v=\sqrt{x^2+y^2}\\12=\sqrt{x^2+y^2}\\12^2=x^2+y^2\\144=x^2+y^2

144=x^2+(-\frac{x \sqrt{3}}{3} )^2\\144=x^2+\frac{3x^2}{9} \\144=\frac{4x^2}{3}\\4x^2=144 X 3=432\\x^2=108\\x=6\sqrt{3}

Recall that:

y=-\frac{x \sqrt{3}}{3}\\y=-\frac{6\sqrt{3}  \sqrt{3}}{3}=-6

Therefore: (x,y)=(6\sqrt{3}, -6)

The vector in the form ai+bj is therefore:

6\sqrt{3}i-6j

6 0
4 years ago
Lim x->pi/3 ((2cosx-1)/(tan^2x-3))
beks73 [17]

You can check that the limit comes in an undefined form:

\displaystyle \lim_{x\to\frac{\pi}{3}} \frac{2\cos(x)-1}{\tan^2(x)-3}=\dfrac{0}{0}

In these cases, we can use de l'Hospital rule, and evaluate the limit of the ratio of the derivatives. We have:

\dfrac{\text{d}}{\text{d}x}2\cos(x)-1 = -2\sin(x)

and

\dfrac{\text{d}}{\text{d}x}\tan^2(x)-3 = 2\dfrac{\tan(x)}{\cos^2(x)}=\dfrac{2\sin(x)}{\cos^3(x)}

So, we have

\displaystyle \lim_{x\to\frac{\pi}{3}} \frac{2\cos(x)-1}{\tan^2(x)-3}=\lim_{x\to\frac{\pi}{3}} \dfrac{-2\sin(x)}{\frac{2\sin(x)}{\cos^3(x)}}=\lim_{x\to\frac{\pi}{3}}-\cos^3(x)=-\cos^3\left(\dfrac{\pi}{3}\right)

6 0
3 years ago
2/3x=−1/3x−4<br><br> (they are not being divided)
Mashutka [201]
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?=0

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4(3)/ 3

your "x" becomes a negative

So, (-x) - 12 / 3 - 2/3(x)
we get the "12" from multiplying 4(3) from each other

Your like term of this problem▶ -x + 12

2(x) - (-x) - 12 / 3

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x + 4 = 0
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4x - 4 = 0

We have one solution to this equation

So, therefore your answer for this question is:
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6 0
4 years ago
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Vera_Pavlovna [14]

Answer:

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Step-by-step explanation:

3(y + 1) + 2y =

3y +3 +2y =

5y +3

4 0
3 years ago
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Answer:

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