Answer:
n = 88/5
Step-by-step explanation:
Clear out the fractions by multiplying both sides by 8:
n = 88/5
First we solve this equation:
x = cos^-1(0) = pi/2 and 3pi/2
Now, this is the answer for angles between 0 and 2pi
but there are "negative angles" and angles larger than 2pi
so the general solution that includes all of these cases is:
x = pi/2 + n*pi
here n is any integer.
Answer:
12
Step-by-step explanation:
5 : 6 = Number of boys to girls
(We have to ×2 to get from 5 to 10 so we must ×2 from 6 to 12)
10 : ? = Number of Boys to girls
10 : 12 = Number of Boys to girls
Answer:
x = 5
Step-by-step explanation:
Solve for x:
2 (2 x - 5) = 3 x + x - 2 x
3 x + x - 2 x = 2 x:
2 (2 x - 5) = 2 x
Divide both sides by 2:
2 x - 5 = x
Subtract x from both sides:
(2 x - x) - 5 = x - x
2 x - x = x:
x - 5 = x - x
x - x = 0:
x - 5 = 0
Add 5 to both sides:
x + (5 - 5) = 5
5 - 5 = 0:
Answer: x = 5
