Answer:
Step-by-step explanation:
Question 6)
sin Y= m
sin Y = m/1
So, hypotenuse is 1
Since sine is opposite over hypotenuse
So XZ= m and YZ = 1
Similarly, cos Y = k
cos Y = k/1
So adjacent side of angle Y is k
So XY = k
cos z - sin z = 
cos z - sin z = 
cos z - sin z = m - k
Question 7)
the relationship between sine, cosine, and tangent.
tan(x) = sin(x)/cos(x) = (11/61)/(60/61)
tan(x) = 11/60
Question 8)
Start with where the shorter leg is. It must be opposite the smallest angle.
In a 30 - 60 - 90 degree triangle you have the hypotenuse to be twice as long as the shortest side. You have to read that a couple of times to make sure you understand it.
That being said, if the shortest side is x, the hypotenuse will be 2x.
Since in this case the shortest side is 11, the hypotenuse will be 2*11 = 22
The answer is 22
4.
12 - 8 = 4
Hope this helps!
Answer:
14s+107
Step-by-step explanation:
(2s+7)+(12s+100)
14s+107
Answer:
If john as 5 apples and has 6 friends That what an apple. How many apples will everybody get.
Step-by-step explanation:
Answer:
Verified


Step-by-step explanation:
Question:-
- We are given the following non-homogeneous ODE as follows:

- A general solution to the above ODE is also given as:

- We are to prove that every member of the family of curves defined by the above given function ( y ) is indeed a solution to the given ODE.
Solution:-
- To determine the validity of the solution we will first compute the first derivative of the given function ( y ) as follows. Apply the quotient rule.

- Now we will plug in the evaluated first derivative ( y' ) and function ( y ) into the given ODE and prove that right hand side is equal to the left hand side of the equality as follows:

- The equality holds true for all values of " C "; hence, the function ( y ) is the general solution to the given ODE.
- To determine the complete solution subjected to the initial conditions y (1) = 3. We would need the evaluate the value of constant ( C ) such that the solution ( y ) is satisfied as follows:

- Therefore, the complete solution to the given ODE can be expressed as:

- To determine the complete solution subjected to the initial conditions y (3) = 1. We would need the evaluate the value of constant ( C ) such that the solution ( y ) is satisfied as follows:

- Therefore, the complete solution to the given ODE can be expressed as:
