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Mekhanik [1.2K]
3 years ago
12

Find the linear combination form of the vector v, where |v|=400 and θ= -60 degrees

Mathematics
1 answer:
ankoles [38]3 years ago
6 0

Answer:

200 in the x-direction by -346 in the y-direction

Step-by-step explanation:

This vector lies in Quadrant IV.

The horiz. component is 400 cos (-60°) = 400(0.5) = 200, and

the vertical comp. is         400 sin (-60°) = 400(-0.866) = -346

The combination form is 200 in the x-direction by -346 in the y-direction, or (as a vector)  <200, -346>

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Consider the following table that describes the mass of a kitten as weeks go by. If you know the kitten grows by 10% each week f
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Answer:

Week                   Mass  (gram)

(start)                    80

   1                         88  

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   3                         106.48

   4                          117.128

Step-by-step explanation:

From the question we are told that

   The  mass of the kitten at the start week  is  m  =  80 g

   The rate at which the kitten grows is  r  =  0.10

Generally the mass of the kitten at the first  week is mathematically represented as  

    m_1 = ( r *  m)  + m

=>m_1 = ( 0.10 *  80 )  + 80      

=>m_1 = 88 \ g      

Generally the mass of the kitten at the second week is mathematically represented as  

     m_2 = ( r *  m_1)  + m_1

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=>m_2 = 96.8 \ g      

Generally the mass of the kitten at the third  week is mathematically represented as  

     m_3 = ( r *  m_2)  + m_2

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=>m_3 = 106.48  \ g      

Generally the mass of the kitten at the fourth  week is mathematically represented as  

     m_4 = ( r *  m_3)  + m_2

=>m_4 = ( 0.10 *  106.48)  + 106.48      

=>m_4 = 117.128  \ g              

Week                   Mass  (gram)

(start)                    80

   1                        88  

    2                      96.8

    3                      106.48

   4                        117.128

 

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