Answers:
A ' = (-2, -3)
B ' = (0, -3)
C ' = (-1, 1)
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Explanation:
To apply an x axis reflection, we simply change the sign of the y coordinate from positive to negative, or vice versa. The x coordinate stays as is. 
Algebraically, the reflection rule used can be written as 
Applying this rule to the three given points will mean....
- Point A = (-2, 3) becomes A ' = (-2, -3)
- Point B = (0, 3) becomes B ' = (0, -3)
- Point C = (-1, -1) becomes C ' = (-1, 1)
The diagram is provided below. 
Side note: Any points on the x axis will stay where they are. That isn't the case here, but its for any future problem where it may come up. This only applies to x axis reflections. 
 
        
             
        
        
        
Tan = opposite / adjacent
tan 74 = 24/7
        
                    
             
        
        
        
Answer and Step-by-step explanation:
First, solve for the volume of the sphere, then solve for the height of the cone using the volume of the sphere (which is said to be equal to the volume of the cone) and the radius given.
<u>Volume formula of Sphere</u>
V = 
<u>Substitute 1 in for r</u>
 = Volume
 = Volume
<u>Finding the Height of a Cone</u>
Volume formula for Cone: 
<u />
<u>Solve for </u><u><em>h</em></u>
Multiply both sides by 3, then divide by pi and r^2.

<u>Plug in the volume and the radius.</u>

<u>Simplify</u>

h ≈ 4
<u>4 is approximately the height.</u>
<u></u>
<u></u>
<u><em>#TeamTrees #PAW (Plant And Water)</em></u>
 
        
             
        
        
        
<h3>
Answer: 35.54 degrees</h3>
How I got this answer:
tan(angle) = opposite/adjacent
tan(A) = BC/AC
tan(A) = 5/7
A = arctan(5/7)  .... apply the inverse tangent, same as arctangent
A = 35.5376778 ... make sure your calculator is in degree mode
A = 35.54 .... rounding to two decimal places