Answer:
Step-by-step explanation:
4x - y = 3
add Y to both sides
4x = 3 + y
minus 3 from both sides
y = 4x - 3
Tan(x) = sin(x) / cos(x)
Csc(x) = 1/ sin(x)
You'll see this better if I use latex.

Now just cancel numerators with denominations. They all disappear. The cancelations leave 1 on both the numerator and denominator.
The correct answer would be 4 x 10^4 sq ft.
Answer:
Step-by-step explanation:
Given the dimension of the homeowner's backyard to be width 18 yards long and length 16 yards long, the area of the rectangular backyard id expreesed as;
Area of rectangle = Length * Width
Area of the rectangular backyard = 18yards * 16yards
Area of the rectangular backyard = 288yards²
If they plan to put in a square pool with side length 5 yards long in the backyard, the area of the pool = 5yd*5yd = 25yd²
The remaining area that will contain the tiles = Area of the rectangular backyard - area of the pool
The remaining area that will contain the tiles = 288yd² - 25yd² = 263yd²
<em>Note that we cannot determine the amount of tiles they need to buy since we are not given the dimension of each tile to use</em>. The area needed for the tiles for the rest of the backyard is therefore 263yd².
Amount of tiles needed to buy can be expressed as 263/dimension of a tile.
Answer:
No, because both of them will never be able to match; become equivalent. You would have to multiply 2 different numbers to make them match, meaning they would not be proportional. For a comparison to be proportional, the ratio you are trying to simplify to must be achieved by multiplying 2 numbers from the previous ratio by one LCD.

They are<em> able</em> to make 12/21, but that does not mean they are proportional.