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?
Answer: 1/2
Step-by-step explanation:
50/100 --> divide top and bottom by 50 to get...
1/2
Answer:
a. x=8
b.Step 1: Simplify both sides of the equation.
2(2x−2)=4x−4
(2)(2x)+(2)(−2)=4x+−4(Distribute)
4x+−4=4x+−4
4x−4=4x−4
Step 2: Subtract 4x from both sides.
4x−4−4x=4x−4−4x
−4=−4
Step 3: Add 4 to both sides.
−4+4=−4+4
0=0
Answer:
All real numbers are solutions.
c. Step 1: Simplify both sides of the equation.
3(x+1)=4x+7−x
(3)(x)+(3)(1)=4x+7+−x(Distribute)
3x+3=4x+7+−x
3x+3=(4x+−x)+(7)(Combine Like Terms)
3x+3=3x+7
3x+3=3x+7
Step 2: Subtract 3x from both sides.
3x+3−3x=3x+7−3x
3=7
Step 3: Subtract 3 from both sides.
3−3=7−3
0=4
all credit goes to mathpapa
<span>-18, -13, -8, -3,…
-18 + 5 = -13
-13 + 5 = -8
-8 + 5 = -3
-3 + 5 = 2
2 + 5 = 7
7 + 5 = 12
Therefore, the next three terms are 2, 7, 12
</span>
(So “/” will basically mean divide)
450/3000=0.15
0.15*100=15% rate
