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Juliette [100K]
4 years ago
10

Dominic spent 2 3/4 hours on art project. Rachel worked 1 1/3 times as long. How many hours did Rachel work for?

Mathematics
2 answers:
natta225 [31]4 years ago
4 0
Rachel worked for 3 2/3 hours.

Multiply the fractions to get the answer.

2 3/4 x 1 1 /3 is 3 2/3.

Hope it helps you :D
N76 [4]4 years ago
3 0
3 and 2/3 hours. 

Multiply the number of hours Dominic spent by the scale factor. 
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Now let y=\sqrt2\tan z, so that \mathrm dy=\sqrt2\sec^2z\,\mathrm dz. Then

\displaystyle\frac12\int\frac{\mathrm dy}{y^2+2}=\frac12\int\frac{\sqrt2\sec^2z}{(\sqrt2\tan z)+2}\,\mathrm dz=\frac{\sqrt2}4\int\frac{\sec^2z}{\tan^2z+1}\,\mathrm dz=\frac1{2\sqrt2}\int\mathrm dz=\dfrac1{2\sqrt2}z+C

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