In a 30 - 60 - 90 triangle the side opposite the hypotenuse is 1/2 the hypotenuse and which will be the shorter side. Read this over a couple of times till you realize that (x + 12)/2 is the shortest side.
[(x + 12) / 2]^2 + x^2 = (x + 12)^2 subtract [(x + 12)/2]^2 from both sides.
x^2 = (x +12)^2 - [ (x +12)/2]^2
x^2 = (x + 12)^2 [ 1 - (1/2)^2] You were given this as a question in school? It seems awfully hard.
x^2 = (x + 12)^2 [3/4]
4x^2 = 3*(x^2 + 24x + 144)
4x^2 = 3x^2 + 72x + 432
x^2 - 72x - 432 = 0 This is a quadratic, do you know what they are?
The solution to this comes to x = 77.56
I don't think I made a mistake, but it is sure possible.Check the numbers and my method.
200 - 8x
200 - (28-12)(.5)x200 - (16)(.5)x200 - 8x
Answer:
Simplify: -9.8n + 8.5
Step-by-step explanation:
2.5 - 5.8m - 4n + 6
(-5.8n - 4n = -9.8n)
( 2.5 + 6 = 8.5)
-9.8n + 8.5
Sorry if this isn't what you meant!
