The length of the prism is 14 cm if the volume of the prism is 378 cubic cm and face area is 27 square cm.
<h3>What is volume?</h3>
It is defined as a three-dimensional space enclosed by an object or thing.
The question is incomplete.
The complete question is in the picture please refer to the attached picture.
We know the volume of the prism can be calculated:
Volume = base area×length
378 = 27x
x = 378/27 = 14 cm
Thus, the length of the prism is 14 cm if the volume of the prism is 378 cubic cm and face area is 27 square cm.
Learn more about the volume here:
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Answer:
y = x*sqrt(Cx - 1)
Step-by-step explanation:
Given:
dy / dx = (x^2 + 5y^2) / 2xy
Find:
Solve the given ODE by using appropriate substitution.
Solution:
- Rewrite the given ODE:
dy/dx = 0.5(x/y) + 2.5(y/x)
- use substitution y = x*v(x)
dy/dx = v + x*dv/dx
- Combine the two equations:
v + x*dv/dx = 0.5*(1/v) + 2.5*v
x*dv/dx = 0.5*(1/v) + 1.5*v
x*dv/dx = (v^2 + 1) / 2v
-Separate variables:
(2v.dv / (v^2 + 1) = dx / x
- Integrate both sides:
Ln (v^2 + 1) = Ln(x) + C
v^2 + 1 = Cx
v = sqrt(Cx - 1)
- Back substitution:
(y/x) = sqrt(Cx - 1)
y = x*sqrt(Cx - 1)
Answer:
True
Step-by-step explanation:
5x+6y=18
5x=18-6y
x=(18-6y)/5
Use that in the other equation
18(18-6y)/5 - 15y = 36
64.8-21.6y - 15y = 36
28.8=36.6y
.7868=y
Now put that number in for y on the first equation
5x+6(.78) = 18
5x + 4.68 = 18
5x = 13.32
x = 2.66
and y = .78
Answer:
There is 36 girls.
Step-by-step explanation:
So basically what I did was that since 4×12 is 48 I did 3×12 which gave me 36 :/
