Answer:
40 hours will it take for the pool to fill.
Step-by-step explanation:
A pump can fill a swimming pool in 8 hours. 
Work done by pump to fill in 1 hour is  
The pool also has a drain that can empty the pool in 10 hours.
Work done by pump to drain in 1 hour is  
If someone turns on the pump to fill the pool, but forgets to shut the drain.
Work done by both pipe in 1 hour is 




Both pipe filled  part of pool in hours = 1
 part of pool in hours = 1
Both pipe filled complete pool in hours = 
Therefore, 40 hours will it take for the pool to fill.
 
        
             
        
        
        
<span>1) The problem says that the quilt squares are cut on the diagonal to form triangular quilt pieces. Then, the triangle pieces have angles of 45°, and the legs have the same lenght. So, you can solve the exercise by applying </span><span>the Pythagorean Theorem:
</span>
 h²:s²+s²
 h²=2s²
 h²/2=s²
 s=√(h²/2)
 "h" is the hypotenuse (h=10 inches) and "s" is the length of the sides.
 When you substitute the value of the hypotenuse into the formula s=√(h²/2), you obtain the sides length:
 s=√(h²/2)
 s=√(10²/2)
 s=5√2
 What is the side length of each piece? 
 The answer is: 5√2
 2)Tan(α)=Opposite/Adjacent
 α=30°
 Opposite=17
 Adjacent=x
 When you substitute these values into Tan(α)=Opposite/Adjacent, you obtain:
 Tan(α)=Opposite/Adjacent
 Tan(30°)=17/x
 x=17/Tan(30°)
 x=17√3
 Sin(α)=Opposite/Hypotenuse
 α=30°
 Opposite=17
 Hypotenuse=y
 Then, you have:
 Sin(30°)=17/y
 ySin(30°)=17
 y=17/Sin(30°)
 y=34
        
             
        
        
        
Answer:
2,608,220,160 cans will be recycled in 16 days.
Step-by-step explanation:
Idk how to do it in scientific notation Lol
 
        
             
        
        
        
Step-by-step explanation:
The initial image of the photo is 2 in by 4 in.  The mat is 4 in by 6 in.
The new image is dilated by a scale of 2.  So we double the dimensions.  The new photo is 4 in by 8 in.  The new mat is 8 in by 12 in.
 
        
             
        
        
        
Answer:
90
Step-by-step explanation:
10! / (10 - 2)!
=10!/8!
=10 * 9 * 8! /8!
=90 * 8!/8!
90
Hope this helps. Please mark as brainliest if possible. Have a nice day