Answer:
The volume of the prism is 27√3/2
Step-by-step explanation:
* Lets revise the triangular prism properties
- The triangular prism has five faces
- Two bases and three side faces
- The two bases are triangles
- The three side faces are rectangles
- The rule of its volume is Area of its base × its height
* Lets solve the problem
- The triangular prism has two bases which are equilateral triangles
- The length of each side of the triangular base is 3"
- The height of the prism is 6"
∵ The volume of the prism = area of the base × its height
∵ The base is equilateral triangle of side length 3"
- The area of any equilateral triangle is √3/4 s²
∴ The area of the base of the prism = √3/4 × (3)² = 9√3/4
∵ The length of the height of the prism is 6"
∴ The volume of the prism = 9√3/4 × 6 = 27√3/2
* The volume of the prism is 27√3/2
Answer:
Rate = 10.4%
Step-by-step explanation:
Given :
P = $30000
A = $42520
Interest earned = 42520 - 30000 = $12520
Time = 4years
<em><u>Find R </u></em>
Round to 1 decimal place, Rate = 10.4%
X^2 - x - 6
Let's factorise. So we pick two numbers such that their product gives (-6) and
adding them up gives us (-1)
Our choice pick is -3 and 2
So we have: X^2 - 3x + 2x - 6 = 0
Factorimg we have X(X - 3) + 2( X - 3) = 0
So (X - 3) and (X + 2) are the solution to the equation.
Hence my answer is X - 3 and X + 2. None of the option applies.
Answer:
20/18
Step-by-step explanation:
Multiply both terms by the same value and you get an equal ratio.
10*10
9*9
100/81 is a ratio equivalent to 10/9
Hope this helps!
