Three vector are oriented as shown in figure below where. A=20.0units, B=40.0units, And C=30.0. (a) The x and Y component of the resultant vector. (b) The magnitude of the resultant vector. (c) Direction of the resultant vector ​ { please help me}

Explanation:

a). Vertical component of vector B = Bsin(45)

                                                     = 40sin(45°)

                                                     = 28.28 units

Horizontal component of vector B = Bcos(45°)

                                                         = 40cos(45°)

                                                         = 28.28 units

Vertical component of vector C = Csin(45°)

                                                     = 30sin(45°)

                                                     = 21.21 units

Horizontal component of vector C = Ccos(45°)

                                                         = 30cos(45°)

                                                         = 21.21 units

Vertical forces = A + Bsin(45°) - Csin(45°)

                       = 20 + 28.28 - 21.21

                       = 27.07

Horizontal forces = Bcos(45°) + Ccos(45°)

                             = 28.28 + 21.21

                             = 49.49 units

b). Magnitude of resultant force =

                                                =

                                                = 56.41 units

c). Direction of the resultant force → Along vector B (at an angle of 45° from the horizontal line)

answer: at 24 february, 2014 the population gets twice of its initial population.

explanation:

since we have given that

the population for alpha city, t years after january 1, 2004 is given as

first we find out the initial population, i.e. t=0,

so, our quadratic equation becomes,

according to question, we have said that if the population has twice its initial population, then it becomes

so, time taken to reach this above mentioned population is given by

now, we know that time can't be negative so, we take t=9.149 years.

hence, at 24 february, 2014 the population gets twice of its initial population.