<span>a.
The radius of earth is about 6400 kilometers. Find the circumference of
a great circle.
Circumference = 2π(radius) = 2π(6400 km) = 40.212,39 km
b. Write an equation for the circumference of any
latitude circle with angle theta
As stated, </span><span><span>the
length of any parallel of latitude (this is the circumference of corresponding circle) is equal to the circumference of a
great circle of Earth times the cosine of the latitude angle</span>:
=> Circumference = 2π*radius* cos(Θ) = 2 π*6400km*cos(Θ) = 40,212.39 cos(Θ)
Answer: circumference = 40,212.39 cos(Θ) km
c. Which latitude circle has a
circumference of about 3593 kilometers?
Make </span><span><span>40,212.39 cos(Θ)</span> km = 3593 km
=> cos(Θ) = 3593 / 40,212.39 = 0.08935 => Θ = arccos(0.08935) = 84.5° = 1.48 rad
Answer: 1.48
d. What is the circumference of
the Equator?
</span>
For the Equator Θ = 0°
=> circumference = 40,213.49cos(0°) km = 40,212.49 km
Answer: 40,212.49 km
Answer:
8 1/30
Step-by-step explanation:
Calculate by converting into improper fractions.
Answer:
We can conclude that the setting is stationed somewhere in the north where it's very cold, so cold that they can use sled dogs. We can also assume it's winter time because it normally snows during the winter.
So the setting is in the north where it is cold, during the winter time.
Answer:
y=-2x+8
Step-by-step explanation:
Evaluate the slope:
(8-0)/(0-4)= 
Find the Y-intercept:
y=8 $=c$ when x=0
Using the form: $y=mx+c$, we have the equation as:
$y=-2x+8$
<u>Given</u>:
Let time be the independent variable.
Let mile marker be the dependent variable.
On one highway, Gabriela noticed that they passed mile marker 123 at 1:00. She then saw that they reached mile marker 277 at 3:00 and Mr. Morales was driving at a constant speed.
The coordinates of the points on this line are (1,123) and (3,277)
We need to determine the slope of the line.
<u>Slope of the line:</u>
The slope of the line can be determined using the formula,
Substituting the points (1,123) and (3,277) in the above formula, we get;
Therefore, the value of the slope of this line is 154.
