the factors and prime factorization of 14 and 28. (The biggest common factor number is the GCF number) So the greatest common factor 14 and 28 is 14.Jul
Sin(-11pi/12) = -sin(11pi/12) = -sin(pi - pi/12) = -sin(pi/12) = -sin( (pi/6) / 2)
= - sqrt( (1-cos(pi/6) ) / 2) = -sqrt( (1-√3/2) / 2 ) = -(√3-1) / 2√2
Answer:
6
Step-by-step explanation:
e = number of elephants
9 times as many monkeys as elephants
m = 9e
------------------------
60 animals all together
e + m = 60
e + 9e = 60
Combine like terms
10e = 60
Divide both sides by 10
e = 6
Answer:
26 and 27
Step-by-step explanation:
Let the numbers be x and y
x + y = 53
xy = 702
x = 702/y
702/y + y = 53
Multiply through by y
702 + y^2 = 53y
y^2 - 53y + 702 = 0
y^2 - 27y - 26y + 702 = 0
y(y - 27) - 26(y - 27) = 0
(y - 27) (y - 26) = 0
y = 26 or 27
Solve for x in x + y = 53
if y = 26,
x = 53 - 26 = 27
if y = 27,
x = 53 - 27 = 26
The numbers are 26 and 27