Answer:
<em>Thus, the transformation from ABC to A'B'C' is a reflection over the x-axis.</em>
<em>Choice 1.</em>
Step-by-step explanation:
<u>Reflection over the x-axis</u>
Given a point A(x,y), a reflection over the x-axis maps A to the point A' with coordinates A'(x,-y).
The figure shows triangles ABC and A'B'C'. It can be clearly seen the x-coordinates for each vertex of both triangles is the same and the y-coordinate is the inverse of it counterpart. For example A=(5,3) and A'=(5,-3)
Thus, the transformation from ABC to A'B'C' is a reflection over the x-axis.
Choice 1.
 
        
             
        
        
        
Answer:
Volume of cylinder is 6285.71 square units.
Step-by-step explanation:
Given the radius of cylinder 10 units. The height is twice its radius. we have to find its volume.
 r=10 units
⇒ Diameter, d = 20 units
Also given height is twice its radius.
⇒ Height=2(r)=2(10)=20 units
<h2><em><u>Volume of cylinder=πr^2h</u></em></h2>
 = 22/7 × 100×20
=22/7 × 2000
= 44000/7
= 6285.71square units.
hence, volume of cylinder is 6285.71 square units.
 
        
                    
             
        
        
        
Answer:
54 units squared
Step-by-step explanation:
You have to divide the shape into simpler shapes such as rectangles and triangles that you can easily find the area of. Then, add those areas together. I divided it into one rectangle and three triangles. 
Rectangle 1: length=7 width=6          6(7)=42
Triangle 1: base=6 height=2          1/2(6)2=6
Triangle 2: base=3 height=2          1/2(3)2=3
Triangle 3: base=6 height=1          1/2(6)1=3
Area= R1+T1+T2+T3= 42+6+3+3= 54 units squared
 
        
                    
             
        
        
        
Answer:
Decimal : 2.4
Fraction: 2 4/10 or 2 2/5
Step-by-step explanation:
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