Answer:
x=52°
Step-by-step explanation:
Corresponding angles, 62° is parallel to I
so the letter I would be 62°.
In a triangle there's 180 degrees
so 180-62=118°-66=52°
that way all the angles in the triangle will add up to 180
Answer:
3 7/12
Step-by-step explanation:
Answer:
16.3 years
Step-by-step explanation:
1 ha = 10,000 m^2
The total capacity of the landfill is:

If waste is compacted to twice its delivered density, its volume is half of the delivered volume. Assuming that a year has 52 weeks, the volume of compacted solid waste dumped per year is:

The expected life of the landfill is given by its capacity divided by the yearly volume:

The landfill has an expected life of 16.3 years.
Answer: -16/65
Step-by-step explanation:
Drawing the right triangle (as attached) gives us that 
Also, 
This means our original expression is equal to:
![\cos \left[\arcsin \left(\frac{12}{13} \right)+\arcsin \left(\frac{3}{5} \right) \right]](https://tex.z-dn.net/?f=%5Ccos%20%5Cleft%5B%5Carcsin%20%5Cleft%28%5Cfrac%7B12%7D%7B13%7D%20%5Cright%29%2B%5Carcsin%20%5Cleft%28%5Cfrac%7B3%7D%7B5%7D%20%5Cright%29%20%5Cright%5D)
Using the cosine addition formula, which states
, we get this itself is equal to:

Since
, we know that:

Similarly, cos(arcsin(3/5))=4/5.
This means the given expression is equal to:
