Step-by-step explanation:
Remember:
SOH - Sin(angle) = Opposite/Hypotenuse
CAH - Cos(angle) = Adjacent/Hypotenuse
TOA - Tan(angle) = Opposite/Adjacent
Answer:
A = 102 B = 78 C = 56
Step-by-step explanation:
All three sides of a triangle added up equals 180.
So 41 + 37 + A = 180
A = 102
A straight line = 180 degrees.
One measurement is 102, so the other is 78.
You now know B is 78, and that 3 angles equal 180.
46 + 78 + c = 180
c= 56
Price of CD before markup : 870
Markup: 870 x 0.25 = 218.75
CD + markup = 1087.75
Directly = CD x 1.25 = 1087.5
(3x + 2x = 2400)
(5x = 2400)
(x = 480)
(480 were sold for each)
Let's assume that the statement "if n^2 is odd, then is odd" is false. That would mean "n^2 is odd" leads to "n is even"
Suppose n is even. That means n = 2k where k is any integer.
Square both sides
n = 2k
n^2 = (2k)^2
n^2 = 4k^2
n^2 = 2*(2k^2)
The expression 2(2k^2) is in the form 2m where m is an integer (m = 2k^2) which shows us that n^2 is also even.
So this contradicts the initial statement which forces n to be odd.
