First find the common denominator. It would be 24. For 8 to get to 24 you have to multiply it by 3. So 8*3=24 and 5*3=15. For 6 to get to 24 you have to multiply it by 4. So 6*4=24 and 1*4=4. Our fractions are now at 15/24 and 4/24. 15+4 is 19 and 15-4 is 11. Your answers are 19/24 and 11/24.
Answer:
.324 or 18.9 degrees
Step-by-step explanation:
rule is
sine equals opposite over hypotenuse,
cosine equals adjacent over hypotenuse, and
tangent equals opposite over adjacent
OR
soh cah toa
sine = soh = 12/37 = .324
arcsin(.324) or sin^-1(.324) in DEGREES not radians =
18.9 degrees
x = the length of one piece
y = the length of the other piece
the total length is 100 cm this means
x + y = 100
one piece is 16 inches longer than the other
first we need to convert inches to cm:
1 in = 2.54 cm
16 in = 2.54*16 = 40.64
now we can write
x = y + 40.64
by solving the system of equations
x + y = 100
x = y + 40.64
we find
x = 70.32 cm
y = 29.68 cm
the lengths of the two pieces are 70.32 cm and 29.68 cm.
You solve the substitution method to solve a system of equality by expressing one variable in terms of the other using one equation, and then plugging this expression in the other(s).
In this case, the first equation gives us a way to express n in terms of m. So, we can replace every occurrence of n in the second equation with the given formula.
The result is
So, the second equation turned to be an equality, i.e. an equation where both sides are the same.
This implies that the system has infinitely many solutions, because every couple 
such that 
is a solution to the system, because it satisfies both equations: the first is trivially satisfied, whereas the second is an identity, and as such is satisfied by any value of the variable.
