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svetoff [14.1K]
2 years ago
10

The 347 students total who listed soccer as their favorite sport were 13 less then three times the number of students (y) who li

sted basketball as their favorite sport.
Write an algebraic equation for the given situation and solve for y.
Mathematics
1 answer:
Snowcat [4.5K]2 years ago
4 0

Answer: 347 x 3 = 1041                                                                                                                      1041-13 = 1028                                                                                                                   1028 students listed basketball as their favorite sport.

Step-by-step explanation:

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Find a unit vector in the same direction as the given vector: v = −14.5i + 2.5 j.
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ANSWER

-  \frac{29}{866}  \sqrt{866} i + \frac{5}{866}  \sqrt{866} j

EXPLANATION

The given vector is v = −14.5i + 2.5 j.

The magnitude of this vector is

|v|  =  \sqrt{ {( - 14.5)}^{2}  +  {2.5}^{2} }

v|  =  \sqrt{ {( - 14.5)}^{2}  +  {2.5}^{2} }

v|  =  \sqrt{ 216.5}  =  \frac{ \sqrt{866} }{2}

The unit vector in the direction of this vector is

=  \frac{v}{ |v| }

= -   \frac{14.5}{ \frac{ \sqrt{866} }{2} } i +    \frac{2.5}{ \frac{ \sqrt{866} }{2} } j

=  -  \frac{29}{866}  \sqrt{866} i + \frac{5}{866}  \sqrt{866} j

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Answer=42 degrees

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90-48=42
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Step-by-step explanation:

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