Greatest common factor in this case is 2s^2. The resulting polynomial would be 2s^2(s^2-2)
<span>Cone Volume = (<span>π<span> • r² •<span> h) ÷ 3
</span></span></span></span>
<span>Cone Volume = (<span>π<span> • (5.2)² •<span> 8.4) ÷ 3
</span></span></span></span><span><span><span><span>Cone Volume = (3.14159 * </span>27.04
* 8.4) / 3</span>
</span>
</span>
<span><span><span><span>Cone Volume = </span>237.85606208
</span>
</span>
</span>
The expression that represents the height of the oblique prism is: 1/2x.
What is the Volume of a Prism?
- The volume of a prism is defined as the total space occupied by the three-dimensional object.
- Mathematically, it is defined as the product of the area of the base and the length.
Prism Volume = base area × height of the prism
Given that the oblique prism has:
Volume = 1/2x³ cubic units
edge length = x units
Therefore,
base area = x²
Thus:
1/2x³ = (x²)(height)
Divide both sides by x²
1/2x³ ÷ x² = height
1/2x³ × 1/x² = height
x³/2 × 1/x² = height
height = x³/2x²
height = x/2
Therefore, the expression that represents the height of the oblique prism is: 1/2x.
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<u>The complete question is -</u>
An oblique prism with a square base of edge length x units has a volume of x3 cubic units. Which expression represents the height of the prism?
It refers to the number of times a number is being multiplied by itself ... Ex: two to the fourth power
4 would be the exponent
<u>Question 1</u>
If we let 
, then 
.
Also, as 
bisects 
, this means 
.
Thus, by the intersecting chords theorem,
However, as distance must be positive, we only consider the positive case, meaning FE=9
<u>Question 2</u>
If we let CE=x, then because AB bisects CD, CE=ED=x.
We also know that since FB=17, the radius of the circle is 17. So, this means that the diameter is 34, and as AE=2, thus means EB=32.
By the intersecting chords theorem,
However, as distance must be positive, we only consider the positive case, meaning CE=8
