<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:
$58.50
Step-by-step explanation:
It is given that the student council pays
For per french fry = $0.85
For per soda fry = $1.20
Discount on the combo of fries and soda = $0.75
Total revenue for one combo = $0.85 + $1.20 - $0.75 = $1.30
Since the total revenue for one combo is $1.30, therefore the total revenue for 45 combo is
Total revenue for 45 combo = 45 × $1.30 = $58.50
Therefore, they will make $58.50 if they sell 45 combos.
Answer:
8
Step-by-step explanation:
4^3/2^3
(4^3)/(2^3)
- 4^3 = 64
- 2^3 = 8
64/8 = 8
When a series of events takes place, each with a fixed
number of possible values, the total number of possible outcomes is the product
of the number of values of each event. I am hoping that this
answer has satisfied your query and it will be able to help you in your
endeavor, and if you would like, feel free to ask another question.
Hello! The value of x+y is 12
Make sure to read an explanation so you can understand the solution better.
Any questions about the answer and explanation can be asked through comments.
Step-by-step explanation:
We can simply solve the system of equations by substituting x = 3y in the first equation

Therefore, the value of y is 3. Then we substitute the value of y in x = 3y.

Therefore, the value of x is 9.
Since you want to find x+y, simply add 9 and 3 as we get 12.
Therefore x+y = 12.