Use Hooke's law... (just kidding)
Break down each force vector into horizontal and vertical components.



The resultant force is the sum of these vectors,

and has magnitude

The closest answer is D.
 
        
             
        
        
        
Since Carmen gives two coins to Frankie for every five that she gets, she effectively only gains 3 coins at a time. Therefore, if she has 9 coins, Frankie must have 6.
        
             
        
        
        
Answer:
The population reaches 7 million people in the year 2032.
Step-by-step explanation:
We have that

Using this model, find the year when the population reaches 7 million people.
This is x years after 2000, in which x is found when f(x) = 7. So




We have to following logarithm rule

So we apply log to both sides of the equality




2000 + 32.66 = 2032
The population reaches 7 million people in the year 2032.
 
        
             
        
        
        
Answer:
The measure of the angles are 72 degrees and 18 degrees
Step-by-step explanation:
we know that
If two angles are complementary, then their sum is equal to 90 degrees
Let
x -----> the measure of an angle
y-----> the measure of he other angle
we know that
x+y=90 -----> y=90-x -----> equation A
x=y+54 ----> equation B
substitute equation B in equation A and solve for y
y=90-(y+54)
y=90-y-54
2y=36
y=18°
Find the value of x
x=y+54 -----> x=18+54=72°
therefore
The measure of the angles are 72 degrees and 18 degrees