Answer:
Distance between two cities is 193.94 miles.
Step-by-step explanation:
We have,
Madison and Wisconsin have latitudes 43.0731°N and 45.9172°N respectively.
Thus, their difference is 45.9172°N - 43.0731°N = 2.8441°
We assumed, the diameter of earth is 7917.5 miles.
So, the radius = 
= 3958.75 miles
So, using the cosine formula, we have,
i.e. 
i.e. 
i.e. 
i.e. a= 193.94 miles.
Hence, the distance between two cities is 193.94 miles.
I think its option A as u cant answer the other 2, we don't know the chances of getting heads or tails we can only see how many of which we can get in total which is 2 as we can only get an outcome of heads or tails
Answer:
- y=14-2x; 6x+3y=42
- 2x+y=17; -6x=3y-51
Step-by-step explanation:
Dependent equations will have infinite solutions. One way to tell if a system of equations is dependent is to put all of the equations into standard form. Here, we can use the form ...
ax + by = c
where a, b, c are mutually prime integers and "a" is positive. When dependent equations are put in this form, they resolve to the same equation.
Here, the rearrangement is accomplished by putting the x- and y-terms on the same side of the equal sign, with the x-term having a positive coefficient. If necessary, the constant is put on the other side, and any common factors removed from all of them.
Then the sets of equations are ...
- 2x +5y = 31
- 6x -y = 13 . . . . not dependent
__
- 2x +y = 10
- 6x +3y = -7 . . . . not dependent
__
- 2x +y = 14
- 2x +y = 14 . . . . dependent
__
- 2x +y = 13
- 4x -3y = -19 . . . . not dependent
__
- 2x +y = 14
- x +2y = 13 . . . . not dependent
__
- 2x +y = 17
- 2x +y = 17 . . . . dependent
__
The 3rd and 5th sets of equations are dependent, so have infinite solutions.
_____
The second set of equations is inconsistent, so has no solutions.
Tan44°=x/140
x=135.19
x is the partial height of the pole after we exclude 4 feet tall height.
then add 4 to x=139.12 feet
Answer:
a=3.192 b=17
Step-by-step explanation:
I just used a graphing calculator to multiply the req. numbers
