Mathematics: A store pays $427 for a gymnastics mat.The store marks up the price by 38%.What is the amount of the mark-up? giving crown

Let be , and the vector of a triangle so that . By definition of Dot Product:Step-by-step explanation:Let be , and the vector of a triangle so that . By definition of Dot Product:...

A store pays $427 for a gymnastics mat.The store

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biba54

18.12.2020

Mathematics

Let be $\vec A$ , $\vec B$ and $\vec C$ the vector of a triangle so that $\vec C = \vec A + \vec B$ . By definition of Dot Product:

$\vec C \,\bullet\,\vec C = (\vec A + \vec B) \,\bullet \vec C$

$\vec C \,\bullet \,\vec C = (\vec A\,\bullet \,\vec C) + (\vec B \,\bullet \,\vec C)$

$\|\vec C\|^{2} = [\vec A \,\bullet \,(\vec A + \vec B)] + [\vec B\,\bullet \,(\vec A + \vec B)]$

$\|\vec C\|^{2} = \vec A \,\bullet \, \vec A + \vec B\,\bullet \vec B + 2\cdot (\vec A \,\bullet \, \vec B)$

$\|\vec C\|^{2} = \|\vec A\|^{2} + \|\vec B\|^{2} + 2\cdot \|\vec A\|\cdot \|\vec B\|\cdot \cos\theta_{C}$

Step-by-step explanation:

Let be $\vec A$ , $\vec B$ and $\vec C$ the vector of a triangle so that $\vec C = \vec A + \vec B$ . By definition of Dot Product:

$\vec C \,\bullet\,\vec C = (\vec A + \vec B) \,\bullet \vec C$

$\vec C \,\bullet \,\vec C = (\vec A\,\bullet \,\vec C) + (\vec B \,\bullet \,\vec C)$

$\|\vec C\|^{2} = [\vec A \,\bullet \,(\vec A + \vec B)] + [\vec B\,\bullet \,(\vec A + \vec B)]$

$\|\vec C\|^{2} = \vec A \,\bullet \, \vec A + \vec B\,\bullet \vec B + 2\cdot (\vec A \,\bullet \, \vec B)$

$\|\vec C\|^{2} = \|\vec A\|^{2} + \|\vec B\|^{2} + 2\cdot \|\vec A\|\cdot \|\vec B\|\cdot \cos\theta_{C}$

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A store pays $427 for a gymnastics mat.The store marks up the price by 38%.What is the amount of the mark-up? giving crown

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