Answer:
Aidan is 2 miles far from the ending point when he reaches the water station.
Step-by-step explanation:
The locations of the starting point, water station and ending point are (3, 1), (3, 7) and (3, 9), all expressed in miles. First we determine the distances between starting and ending points and between starting point and water station by the Pythagorean Theorem:
From starting point to ending point:
 (Eq. 1)
 (Eq. 1)

From starting point to water station:
 (Eq. 2)
 (Eq. 2)

The distance between the water station and the ending point is:
 (Eq. 3)
 (Eq. 3)


Hence, Aidan is 2 miles far from the ending point when he reaches the water station.
 
        
             
        
        
        
Answer:
(-4,1)
Step-by-step explanation:
The answer is just where the two lines intersect
I'm rather tired so double check me on this but I'm getting about (-4,1) and it's asking for an approximation so think (-4,1) is fine 
 
        
                    
             
        
        
        
So, the area of a parallelogram is the base times the height or

a being area
b being base 
h being height
the height is 8 cm and the base is 15 cm
(remember: the heght should be perpendicular to the base)
so we plug in 8 for h and 15 for b to get

and 15 × 8 = (10 × 8) + (5 × 8) = 80 + 40 =120
So the answer is 120
 
        
             
        
        
        
Yes, the added zeros are significant. Lets say you are converting 1.23 x 10 to the power of 4. The answer would be 12,300 in which case, if you took away the zeros, the number would be 123, which is an incorrect answer.
Hope this makes sense and helps!
        
                    
             
        
        
        
Since the dice are fair and the rolling are independent, each single outcome has probability 1/15. Every time we choose

We have  and
 and  , because the dice are fair.
, because the dice are fair.
Now we use the assumption of independence to claim that

Now, we simply have to count in how many ways we can obtain every possible outcome for the sum. Consider the attached table: we can see that we can obtain:
- 2 in a unique way (1+1)
- 3 in two possible ways (1+2, 2+1)
- 4 in three possible ways
- 5 in three possible ways
- 6 in three possible ways
- 7 in two possible ways
- 8 in a unique way
This implies that the probabilities of the outcomes of  are the number of possible ways divided by 15: we can obtain 2 and 8 with probability 1/15, 3 and 7 with probability 2/15, and 4, 5 and 6 with probabilities 3/15=1/5
 are the number of possible ways divided by 15: we can obtain 2 and 8 with probability 1/15, 3 and 7 with probability 2/15, and 4, 5 and 6 with probabilities 3/15=1/5