6/x=27
times both sides by x
6=27x
divide both sides by 27
6/27=x
2/9=x
the missing number is 2/9
Answer:
x = 8.0 m
Step-by-step explanation:
With the angle presented, I'm assuming you know basic trigonometry. We know cosθ = adj/hyp from SOH CAH TOA. We have angle and hypotenuse, so plugging in those values we get cos(20°) = x / 8.5. Solve for x to get 8.5cos(20°) = 7.987387277 m = 8.0 m.
The answer to 24/30 in simplest form is 4/5
A = 864
w = 2/3l
A = lw
Plug in what we know:
864 = l(2/3l)
Multiply:
864 = 2/3l^2
Divide 2/3 to both sides or multiply by its reciprocal, 3/2:
864 * 3/2 = l^2
2592/2 = l^2
1296 = l^2
Find the square root of both sides:
l = 36
So the length of the basement is 36 feet.