Answer:
x = 4 radical 3 / 3
Step-by-step explanation:
this is a 30-60-90 triangle
the side across from the angle 30 is L
the side across from the angle 60 is L√3
the side across from the angle 90 is 2L
we are given the side across from 60⁰ so we know that:
2 = L√3
we want to solve for L, so we must divide both sides by √3 (radical three)
2/√3 = L√3/√3
you would get 2/ √3 = L, because the radical three cancels out on the L side.
but you can't have a radical in the denominator, so you have to multiply 2/√3 by radical 3
2 times √3 and √3 times √3
you get 2√3/√9
radical nine can simplify
2radical3/3 or 2√3/3
we found L, but that would equal the thirty degree angle, not the 90, 90 = 2L
multiply the number infront of the radical by two and get
4√3/3
x=4 radical 3 divided by 3
The answer is 5663588 for your question
Horizontal distance = 48'
difference in elevation = 18"-6" = 12" = 1'
Slope of the sewer line = rise/run = 1/48 = 0.0208 = 2.08%
Answer:
Step-by-step explanation:
You are trying to find the values of two quantities, so you will need to set up a system of two equations in two variables. We'll call M the price of a movie and V the price of a video game.
The first month: 3 movies, 8 video games, $55. Let's translate this into algebra:
3M + 8V = 55
The second month: 5 movies, 2 video games, $18. Translated:
5M + 2V = 18
Solve that system of equations
