Answer:
6√2
Step-by-step explanation:
Solving the given expression step by step:
72 = 2 × 2 × 2 × 3 × 3
Now for finding the square root we will make pair of two numbers of same values.
We have one pair of 2's and one pair of 3's and left one 2
Thus, √72 = 2 × 3 × √2 = 6√2 
We rationalize denominator and change it into a simpler form as soon as possible.
 
        
             
        
        
        
Answer:15/17
Step-by-step explanation: cos = adjacent/hypotenuse 
 
        
             
        
        
        
Answer:

Step-by-step explanation:
Curved surface area= where R is radius and H is height
 where R is radius and H is height
Since H=6R then curved surface area=
Therefore,  
 and making R the subject
 and making R the subject

Therefore, H=6R=6*3.000604=18.00362 m

Therefore, 
 
        
             
        
        
        
If you look at the rectangle properly, you can see that the diagonal creates two triangles, and if we only focus on one triangle, we can see that the bad of the triangle is 7 and the perpendicular height is 4
Using Pythagorean theorem we can figure out the hypotenuse, or the diagonal
 C squared is equal to a squared plus b squared
7^2+4^2 is 65
Square root of 65 is 8.1
        
             
        
        
        
Answer:
   [0, 7]
Step-by-step explanation:
We want the height to be greater than or equal to 32 ft, so ...
   704 +16t -16t^2 ≥ 32
   t^2 -t -42 ≤ 0 . . . . . . . . . . . subtract 32, divide by -16
   (t -7)(t +6) ≤ 0
This inequality will be true for values of t between -6 and +7. Since we're only concerned with times t ≥ 0, the appropriate solution interval is ...
   0 ≤ t ≤ 7 . . . . [0, 7] in interval notation