There is no rectangle shown, nor ruler given to measure and attempt your work. Nevertheless, I will illustrate how to find the volume of a rectangular prism.
Step-by-step explanation:
Given a rectangular prism of sides
Length = l
Width = w
Height = h
The volume of this prism is given as
V = l × b × h.
Example, if
Length = 4cm
Width = 3cm
Height = 2cm
Volume = 4 × 3 × 2
= 24cm³.
Answer:
y = 2cos5x-9/5sin5x
Step-by-step explanation:
Given the solution to the differential equation y'' + 25y = 0 to be
y = c1 cos(5x) + c2 sin(5x). In order to find the solution to the differential equation given the boundary conditions y(0) = 1, y'(π) = 9, we need to first get the constant c1 and c2 and substitute the values back into the original solution.
According to the boundary condition y(0) = 2, it means when x = 0, y = 2
On substituting;
2 = c1cos(5(0)) + c2sin(5(0))
2 = c1cos0+c2sin0
2 = c1 + 0
c1 = 2
Substituting the other boundary condition y'(π) = 9, to do that we need to first get the first differential of y(x) i.e y'(x). Given
y(x) = c1cos5x + c2sin5x
y'(x) = -5c1sin5x + 5c2cos5x
If y'(π) = 9, this means when x = π, y'(x) = 9
On substituting;
9 = -5c1sin5π + 5c2cos5π
9 = -5c1(0) + 5c2(-1)
9 = 0-5c2
-5c2 = 9
c2 = -9/5
Substituting c1 = 2 and c2 = -9/5 into the solution to the general differential equation
y = c1 cos(5x) + c2 sin(5x) will give
y = 2cos5x-9/5sin5x
The final expression gives the required solution to the differential equation.
Answer:
A. 10
Step-by-step explanation:
First put the numbers in order from least to greatest then find the two numbers in the center of that since there is an even number of numbers there will be two the add and divide by two and you get 10.
1,2,7,9,11,15,19,20
9+11=20
20/2=10
Answer:
c
Step-by-step explanation:
a third party group in which no naps occur
Answer:
im not 100% sure but i think its the last one
D
im not 100% sure though
Step-by-step explanation:
