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3 years ago

Simplify 3 whole number 1/6 + 1 whole number 1/4 -2 whole number 2/3

Mathematics

2 answers:

nexus9112 [7]3 years ago

5 0

Answer:

1 whole 3/4 or 1.75

Step-by-step explanation:

$3 \frac{1}{6} + 1\frac{1}{4} -2\frac{2}{3} = \frac{19}{6} + \frac{5}{4} - \frac{8}{3}$

$= \frac{(19 \times 2) + ( 5 \times 3 ) - (8 \times 4)}{12}\\\\=\frac{38+15-32}{12}\\\\=\frac{21}{12} \\\\=\frac{7}{4}\\\\=1 \frac{3}{4}$

amid [387]3 years ago

3 0

I believe it will be 1.75
Hope this helps!

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Step-by-step explanation:

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3 years ago

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where $0\le u\le2\pi$ and $0\le v\le\dfrac\pi/2$ . We then have

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$(x^2+y^2)=9\sin^2v(3\cos v)=27\sin^2v\cos v$

Then the surface integral is equivalent to

$\displaystyle\iint_S(x^2+y^2)z\,\mathrm dS=27\int_{u=0}^{u=2\pi}\int_{v=0}^{v=\pi/2}\sin^2v\cos v\left\|\frac{\partial\mathbf r(u,v)}{\partial u}\times \frac{\partial\mathbf r(u,v)}{\partial u}\right\|\,\mathrm dv\,\mathrm du$

We have

$\dfrac{\partial\mathbf r(u,v)}{\partial u}=\langle-3\sin u\sin v,3\cos u\sin v,0\rangle$
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So the surface integral is equivalent to

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$=\displaystyle486\pi\int_{v=0}^{v=\pi/2}\sin^3v\cos v\,\mathrm dv$
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where $w=\sin v\implies\mathrm dw=\cos v\,\mathrm dv$ .

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3 years ago

Simplify 3 whole number 1/6 + 1 whole number 1/4 -2 whole number 2/3​

Simplify 3 whole number 1/6 + 1 whole number 1/4 -2 whole number 2/3