Answer:
n + n+1 + n+2 + n+3 = 230
4n = 224
n = 56 and largest number = 59
Step-by-step explanation:
 
        
             
        
        
        
Answer:
Step-by-step explanation:
A boat captain, lighthouse and its base form a right triangle.
<u>We need to find the angle opposite to 22 ft side:</u>
- tan x = 22/103
- x = arctan (22/103)
- x = 21°
<em>Note, option D should read 21° not 11°</em>
 
        
             
        
        
        
GCF           32                    24                      40
                   ^                       ^                        ^
                2   16               2     12               2    20
                      ^                         ^                      ^
                   2    8                   2    6               2    10
                         ^                         ^                       ^
                       2   4                   2   3                 2    5
                            ^
                          2   2
                (2)                         (2 & 3)               (2  &  5)
        
             
        
        
        
Answer:
2 1/3 acres per hour
Step-by-step explanation:
If you divide both numbers by 2, you get 1/3 and 1/7. If 7 makes up an hour, then you multiply 1/3 by 7, which gets you 2.333.. which is equivalent to 2 1/3.
 
        
             
        
        
        
Answer:
3.5 (meters per second)
Step-by-step explanation:
To calculate the slope, we need two points. Let's see if we can select two points from the graph. 
From the graph, we can pick out two possible points. 
At the beginning, (0,2.5) is a valid candidate. 
And at the end, with (5,20). Thus, let's use the slope formula to calculate the slope. 
The slope formula is: 

Let (0,2.5) be x₁ and y₁ and let (5,20) be x₂ and y₂. Thus: 

Simplify: 

Thus, the slope is 3.5 meters per second. 
Further notes: 
And the entire equation will be: 
