Step 1.
Calculate measure of angle α:

Step 2.
Calculate what fraction of the angle 360° is the angle α:

Step 3.
Calculate the circumference of the Earth (circle):

Step 4.
The length of arc is equal 1/40 of the circumference:


<h3>Answer: A) 628 miles</h3>
Answer:
0.41 cm
Step-by-step explanation:
The scale on the map is 1 in 86 mi.
This means that, 1 cm on the map represents 86 miles in real life, or on earth.
Then we're told that in real life, a distance is 35 miles, and how far they are on the map.
If 1 cm equals 86 miles, then we can say that x cm equals 35 miles
1 cm ----> 86
x cm ----> 35
x * 86 = 35 * 1
x = 35 / 86
x = 0.41 cm
Therefore, they must be 0.41 cm farther or closer apart on the map scale.
Answer:
I think A is the right answer
Slope is defined as the change in y-coordinate over the change in x, so if you find the change then you can find the slope.

Thus, your slope is -6/5.
Answer:
see explanation
Step-by-step explanation:
Given
- 
Before subtracting the fractions, we require them to have common denominator.
Multiply the numerator/denominator of the second fraction by - 1
×
= 
We now have
-
← common denominators
=
+ 
= 
= 