Answer:
sin(θ) = 24/25
Step-by-step explanation:
We can easily solve this problem by applying the trigonometric identity
sin(x) ^2 + cos(x) ^2 = 1
In this case
sin(θ) ^2 + cos(θ) ^2 = 1
sin(θ) ^2 = 1 - cos(θ) ^2
sin(θ) ^2 = 1 - (7/25) ^2
sin(θ) ^2 = 1 - (49/625)
sin(θ) ^2 = 576/625
sin(θ) = √( 576/625)
sin(θ) = 24/25
Answer:
Step-by-step explanation:
The general solution will be the sum of the complementary solution and the particular solution:
In order to find the complementary solution you need to solve:
Using the characteristic equation, we may have three cases:
Real roots:
Repeated roots:
Complex roots:
Hence:
Solving for :
Since we got complex roots, the complementary solution will be given by:
Now using undetermined coefficients, the particular solution is of the form:
Note: was multiplied by x to account for and in the complementary solution.
Find the second derivative of in order to find the constants and :
Substitute the particular solution into the differential equation:
Simplifying:
Equate the coefficients of and on both sides of the equation:
So:
Substitute the value of the constants into the particular equation:
Therefore, the general solution is:
Answer:
the answer would be A, human society.
Hello!
multiple of 12 include:
1, 2, 3, 4, 6, and 12
1 * 12 = 12
2 * 6 = 12
3 * 4 = 12
I hope this helps, and have a nice day!
Answer:
See pic below.
Step-by-step explanation:
Draw a triangle in the graph and use the Pythagorean theorem.