Answer:
1080cm²
Step-by-step explanation:
surface area=sum of the area of all the shapes
area of triangle=1/2*base*height
1/2*24*10=120*2(because there are two triangles)=240cm²
10*14=140cm²
24*14=336cm²
Area of slanting figure=26*14=364cm²
add all the results
240+140+336+364=1080cm²
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:
(-5,24)
Step-by-step explanation:
2f+3g-h
first we substitute in the numbers
2(-3)+3(1)-2
-6+3-2
-3-2
-5
Then again
2(5)+3(4)-(-2)
10+12+2
22+2
24
hope this helps!:)
It's a rational number because 25 is perfect square, taking the square root gives the rational integers +5 or -5
Answer: 108 feet
Step-by-step explanation: (135.5-27.5) = 108 feet
