Answer:
The Hypotenuse is side just opposite to the right angle.
Step-by-step explanation:
By Pythagoras' theorem,
c^2=a^2+b^2
c^2(hypotenuse to be found)= 30^2+ 16^2
<em>c^2=1156
</em>
<em><u>Therefore, c ( i.e. the hypotenuse) will be the square root of 1156. </u></em>
<em><u>The square root of 1156 is 34. </u></em>
<h2><em><u>
Thus, c ( hypotenuse) = 34</u></em></h2>
Hope it helped :)
 
        
             
        
        
        
Answer:
75
Step-by-step explanation:
Jim will finish in 6 days because 300/50=6
So you know that Sam needs to finish the book in at exactly 4 days
300/4= 75 pages per day
 
        
                    
             
        
        
        
Answer:
y - 2 3/7 (x-4)
Step-by-step explanation:
A) To find slope, use the equation:where  and  are the x and y values of one coordinate point  , and  and  are the x and y values of another coordinate point . Since we are given two coordinate points, (-3,-1) and (4,2), that means we can find the slope using the slope equation.  
Let's choose (4, 2) as your  point and (-3, -1) as your  point, but you can switch those if you want! That makes  and x^1 = -3, y1 = -1 . Plug these values into the slope equation:
The slope of the line is 3/7.
B) Remember that the general equation for point-slope form is, where m = the slope,  = the x value of a coordinate point on the line, and  = the y value of the same coordinate point on the line.  
You are given (4, 2) as one of the coordinate points. That means  = 4 and  = 2. We found the slope, m =  in part A. Now plug these values into the general equation for point-slope form to find your point-slope form equation:
Your point-slope form equation is y - 2 3/7 (x-4).
 
        
                    
             
        
        
        
Answer:
$2.45        
Step-by-step explanation:    
Let x be the number of months.  
We have been given that price of a mango at a fruit stand goes up 5 cents each month. This means that price of mango in dollars after x months will be 0.05x (1 dollar=100 cents). 
The first month the stand was open, a mango cost $1.25. This means that cost of mango in the x months after 1st month will be: 
Now let find the cost of mango in the 25 month by substituting x=24 in our expression because price will increase 24 times after 1st month. 



Therefore, the cost of a mango in the 25th month will be $2.45.