Answer:
2/6561
Step-by-step explanation:
Geometric sequence formula : 
where an = nth term, a1 = first term , r = common ratio and n = term position 
given ratio : 1/3 , first term : 2 , given this we want to find the 9th term
to do so we simply plug in what we are given into the formula 
recall formula : 
define variables : a1 = 2 , r = 1/3 , n = 9 
plug in values
a9 = 2(1/3)^(9-1)
subtract exponents
a9 = 2(1/3)^8
evaluate exponent 
a9 = 2 (1/6561) 
multiply 2 and 1/6561 
a9 = 2/6561
 
        
             
        
        
        
There are 60 thirds in three hours
        
                    
             
        
        
        
Answer:

Step-by-step explanation:

<u>Multiplying both sides by 2</u>


<u>Subtracting 36 to both sides</u>


<u>Dividing both sides by 4</u>

OR

 
        
                    
             
        
        
        
Answer:
Y= $240
Step-by-step explanation:
Since he had 60 dollar bills and the dollar coins were 4 times that amount, you just multiply 60 by 4.
 
        
             
        
        
        
The answer should be 24 square units. 
5 is the hypotenuse and the one we need is the base and the height. They gave us the height, which was 6 in total but 3 for the triangle. But we needed to find the base. 
In order to do that, we need to use the Pythagorean Theorem. 
a^2+b^2=c^2
3^2+b^2=5^2
9+b^2=25
Subtract 9 from both sides
b^2=16
Then square root both sides. 
b=4. 
Now that we have the base, you can then find the area of the triangle. 
BH/2
4*3/2
12/2
6
So one triangle equals to 6. Then multiply that by 4 to find the area of the rhombus. Which would be 24 square units.