Use 6 tens to get 60 and then 2 ones
use 5 tens to get 50 and 12 ones
Answer:
B. 60cm^3
Step-by-step explanation:
The volume of a right triangular prism is
V = BH where B is the area of the triangle and H is height
B = 1/2 bh where b =5 and h =8
B = 1/2 *40 = 20
V = (20) * 3
V = 60 cm^3
We need to be careful to do the area of the triangle first
Both equations are linear, so I'll use the integrating factor method.
The first ODE

has integrating factor

In the original equation, multiply both sides by eˣ :

Observe that
d/dx [xeˣ] = eˣ + xeˣ = (x + 1) eˣ
so that the left side is the derivative of a product, namely

Integrate both sides with respect to x :


Solve for y :

Use the given initial condition to solve for C. When x = 1, y = 2, so

Then the particular solution is

The second ODE

has integrating factor

Multiply both sides of the equation by 1/(1 + x²) :

and observe that
d/dx[1/(1 + x²)] = -2x/(1 + x²)²
Then



When x = 0, y = 3, so


Definition 1. A rigid motion of the plane ( or an isometry ) is a motion whichpreserves distance.There are four basic rigid motions:(1) Reflection(2) Glide Reflection(3) Rotation(4) Translation