Answer:
The volume of the sawdust pile is 16041.7 feet.
Step-by-step explanation:
The sawdust pile formed is in the form of a cone.
The volume of a cone is:

The information provided is:
<em>r</em> = radius of the base = diameter ÷ 2 = (35 ÷ 2) feet
<em>h</em> = height = 50 feet
Compute the volume of the sawdust pile as follows:


Thus, the volume of the sawdust pile is 16041.7 feet.
Answer:
The x-coordinate of the solution to this system of equations is 3
Step-by-step explanation:
Given the system of equations:
....[1]
....[2]
Add equation [1] and [2] we have;

Simplify:

Divide both sides by 3 we have;
x = 3
Substitute in [1] we have;
3+y = 3
⇒y = 0
Solution for the given system of equation is= (3, 0)
Therefore, the x-coordinate of the solution to this system of equations is 3
Answer:
Option C
Step-by-step explanation:
Translation means moving the figure horizontally or vertically.
Reflection means flipping across a vertical or a horizontal line.
In the figure we see that we can vertically shift the point P to R down by some units.
Then we see that if we reflect that triangle NMP across the line which joins P & R we get the triangle STR.
So to have triangle MNP map onto to TSR we need to translate & then reflect.
Option C) is the right answer.
You want to make the fractions have the same denominator.
2/3 = 8/12
1/4 = 3/12
now subtract the numerator and keep the denominator the same...
8/12 - 3/12 = 5/12
5 1/2 is the answer
Step-by-step explanation:
