<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
Step-by-step explanation:
s1 = 3
s2 = 3×2 = 6
s3 = 6×2 = 12
s4 = 12×2 = 24
s5 = 24×2 = 48
sn = sn-1 × 2 = s1 × 2^(n-1)
s17 = 3 × 2¹⁶ = 3 × 65,536 = 196,608
Answer:
The <u>last graph</u> is a <u>function.</u>
Step-by-step explanation:
They are reflected off of each other, aka they are in an organized pattern. The other graphs are a series of random plots, meaning they have no function.
we know that
If square GYTD is translated 
units left and units up to produce square G'Y'T'D'
that means
the rule of transformation is
<u>Find the coordinates of the image</u>
therefore
<u>the answer is the option</u>
G'(−6, 5), Y'(−2, 5), T'(−2, 1) , and D′(−6, 1)
Answer:
47 hours
$517
Step-by-step explanation:
M8 T9 W9 T8 F0 S8 S5
From the information above :
Total hours worked last week :
(8 + 9 + 9 + 8 + 0 + 8 + 5) = 47 hours
Rate = $11 / hour
Last week earning :
Total hours worked * rate per hour
47 * $11
= $517
