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Maurinko [17]
2 years ago
8

Bob rented a truck for one day. There was a base fee of $16.99 , and there was an additional charge of 93 cents for each mile dr

iven. Bob had to pay $211.36 when he returned the truck. For how many miles did he drive the truck?
Mathematics
2 answers:
cluponka [151]2 years ago
8 0

Answer:

He drove 18,075.48 miles

Step-by-step explanation:

Since he was charged $17 to begin with, we subtract 17 by $211.36 and get 194.63, then we multiply our answer by 93 to get the exact amount of miles he drove. We then get the product of 18,075.48 miles.

nikklg [1K]2 years ago
6 0

Answer: Bob drove 2.09 miles

Let's think,"m" as the miles be driven

211.36= 16.99 + 93m

93m =211.36 - 16.99

m= 194.37/93

m= 2.09

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\hat{n}\ =\ \ \dfrac{\dfrac{x}{a^2}\hat{i}+\ \dfrac{y}{b^2}\hat{j}+\ \dfrac{z}{c^2}\hat{k}}{\sqrt{(\dfrac{x}{a^2})^2+(\dfrac{y}{b^2})^2+(\dfrac{z}{c^2})^2}}

Step-by-step explanation:

Given equation of ellipsoids,

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The vector normal to the given equation of ellipsoid will be given by

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=\ (\dfrac{\partial{}}{\partial{x}}\hat{i}+ \dfrac{\partial{}}{\partial{y}}\hat{j}+ \dfrac{\partial{}}{\partial{z}}\hat{k})(\dfrac{x^2}{a^2}+\dfrac{y^2}{b^2}+\dfrac{z^2}{c^2})

           

=\ \dfrac{\partial{(\dfrac{x^2}{a^2})}}{\partial{x}}\hat{i}+\dfrac{\partial{(\dfrac{y^2}{b^2})}}{\partial{y}}\hat{j}+\dfrac{\partial{(\dfrac{z^2}{c^2})}}{\partial{z}}\hat{k}

           

=\ \dfrac{2x}{a^2}\hat{i}+\ \dfrac{2y}{b^2}\hat{j}+\ \dfrac{2z}{c^2}\hat{k}

Hence, the unit normal vector can be given by,

\hat{n}\ =\ \dfrac{\vec{n}}{\left|\vec{n}\right|}

             =\ \dfrac{\dfrac{2x}{a^2}\hat{i}+\ \dfrac{2y}{b^2}\hat{j}+\ \dfrac{2z}{c^2}\hat{k}}{\sqrt{(\dfrac{2x}{a^2})^2+(\dfrac{2y}{b^2})^2+(\dfrac{2z}{c^2})^2}}

             

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