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alexgriva [62]
2 years ago
13

urpi elaboro un panel decorativo con 2 1/2 pliegos de cartulina para el fondo, 1 2/3 de peligro para el borde y 5/6 de peligro p

ara el diseñador interior .Si al inicio tenia medio pliego, cuantos pliegos de cartulina tuvo que comprar
Mathematics
1 answer:
nadya68 [22]2 years ago
4 0

Urpi tuvo que comprar 4 \,\frac{1}{6} pliegos de cartulina para la elaboración del panel decorativo.

La cantidad de cartulina que Urpi compró para la elaboración del panel decorativo es la cantidad utilizada de cartulina menos la cantidad inicial disponible:

x = 2\,\frac{1}{2} + 1\,\frac{1}{3} + \frac{5}{6} - \frac{1}{2}

x = 2 + \frac{1}{2} + 1 +\frac{1}{3} + \frac{5}{6} - \frac{1}{2}

x = 3 + \frac{1}{3} + \frac{5}{6}

x = 3 + \frac{7}{6}

x = 3 + 1 + \frac{1}{6}

x = 4 \,\frac{1}{6}

Urpi tuvo que comprar 4 \,\frac{1}{6} pliegos de cartulina para la elaboración del panel decorativo.

Invitamos cordialmente a ver este problema aritmético: brainly.com/question/24517497

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ikadub [295]

Use the sum of cubes factoring rule

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to transform the left hand side into the right hand side.

\frac { \sin^{3} \theta + \cos^{3} \theta } { \sin \theta + \cos \theta } = 1 - \sin \theta \cdot \cos \theta\\\\\frac { (\sin \theta + \cos \theta)(\sin^2 \theta - \sin \theta \cdot \cos\theta + \cos^2 \theta) } { \sin \theta + \cos \theta } = 1 - \sin \theta \cdot \cos \theta\\\\

\sin^2 \theta - \sin \theta \cdot \cos\theta + \cos^2 \theta = 1 - \sin \theta \cdot \cos \theta\\\\(\sin^2 \theta + \cos^2\theta)- \sin \theta \cdot \cos\theta = 1 - \sin \theta \cdot \cos \theta\\\\1- \sin \theta \cdot \cos\theta = 1 - \sin \theta \cdot \cos \theta \ \ \checkmark\\\\

Throughout the entire process, the right hand side stayed the same.

On the last step, I used the pythagorean identity.

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The measure of angle 3 from the figure is 110 degrees

<h3>Lines and angles</h3>

An angle is the intersection between two lines. From the given figure, we have the following parameters

m∠1= 40°,

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Required

Measure of angle 3

The sum of the interior angles of the triangle is equal to the exterior

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Hence the measure of angle 3 from the figure is 110 degrees

Learn more on lines and angles here: brainly.com/question/25770607

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