If we have the angle and magnitude of a vector A we can find its Cartesian components using the following formula

Where | A | is the magnitude of the vector and  is the angle that it forms with the x axis in the opposite direction to the hands of the clock.
 is the angle that it forms with the x axis in the opposite direction to the hands of the clock.
In this problem we know the value of Ax and Ay and we need the angle  .
.
Vector A is in the 4th quadrant
So:

So:

So:

 = -47.28 ° +360° = 313 °
 = -47.28 ° +360° = 313 °
 = 313 °
 = 313 °
Option 4.
  
        
             
        
        
        
Answer:

Explanation:
Given data
Time t=2.5 minutes=150 seconds
Distance A=1600 ft=487.68 m........east
Distance B=2500 ft=762m ........north
To find
Average velocity
Solution
First we need to find the resultant distance magnitude.To find that we apply Pythagorean theorem to find hypotenuse
So

 
 
        
             
        
        
        
Hello!
Which nuclei is NOT radioactive? 
A) Am-241 B) Mg-24 C) Pu-241 D) U-238
Solving:
It is noteworthy that chemical elements located on the periodic table in the lanthanide and actinide groups are radioactive.  
Am-241 (americium) belongs to the group of actinides and is a heavy and radioactive metal.  
Mg-24 (magnesium) is an essential element for the body, mainly for the nervous system, in addition to synthesizing proteins and serves for hormonal control, belongs to the group of alkaline earth metals and is a non-radioactive nucleus.
Pu-241 (plutonium) is an element that is isotope of fission by plutonium, belongs to the group of actinides and is a heavy and radioactive metal.  
U-238 (uranium) is an element that is isotope of non-fission uranium, belongs to the group of actinides and is a heavy and radioactive metal.
Answer:
B) Mg-24
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I Hope this helps, greetings ... Dexteright02! =)