We are given that the angle a is the right angle. So let
us work from this.
ab = 12 (the vertical side of the triangle)
bc = 13 (which if drawn can be clearly observed to be the
hypotenuse) = the side opposite to angle a
ca = 5 (the horizontal side of the triangle)
Since we are to find for the cosine ratio of angle c or
angle θ, therefore:
cos θ = adjacent side / hypotenuse
cos θ = ca / bc
cos θ = 5 / 13
Check out the attached image below for the illustration
of the triangle.
-----------------------------------------
Define x :
-----------------------------------------
Let the smallest number be x.
The other two numbers will be x + 1 and x + 2.
-----------------------------------------
Construct Equation :
-----------------------------------------
Sum of these numbers is 72
⇒ x + x + 1 + x + 2 = 72
-----------------------------------------
Solve for x :
-----------------------------------------
x + x + 1 + x + 2 = 72
3x + 3 = 72
3x = 69
x = 23
-----------------------------------------
Find the numbers :
-----------------------------------------
1st number = x = 23
2nd number = x + 1 = 23 + 1 = 24
3rd number = x + 2 = 23 + 2 = 25
----------------------------------------------------------------------------------
Answer : The numbers are 23, 24 and 25.
----------------------------------------------------------------------------------
4.5; 27 * 6 = 162 and then do 162/36 which is 4.5
Answer: Determine whether (–x)3 + 5(–x) + 1 is equivalent to x3 + 5x + 1.
To determine if a function is even, we need to check if f(-x)=f(x).