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Sonja [21]
3 years ago
10

Earth has been charted with vertical and horizontal lines so that points can be named with coordinates. The horizontal lines are

called latitude lines. The equator is latitude line 0. Parallel lines are numbered up to pi/2 to the north and to the south. If we assume Earth is spherical, the length of any parallel of latitude is equal to the circumference of a great circle of Earth times the cosine of the latitude angle. a. The radius of earth is about 6400 kilometers. Find the circumference of a great circle.
a. The radius of earth is about 6400 kilometers. Find the circumference of a great circle.
b. Write an equation for the circumference of any latitude circle with angle x
c. Which latitude circle has a circumference of about 3593 kilometers?
d. What is the circumference of the equator?

Mathematics
2 answers:
Komok [63]3 years ago
8 0
Refer to the figure shown below.

r = 6400 km, the radius of the earth

Part a.
The circumference of the great circle is
2πr = 2π*(6400 km)
      = 40212.4 km
Answer: 40212.4 km

Part b.
At a latitude with angle x = θ, the circumference2 of the latitude circle is
2π(r cos x) = 2π*(6400 cos(x)
                   = 40212.4 cos(x)
Note that the angle x is in radians.
Answer: The circumference is 40212.4 cos(x) km

Part c.
If a latitude circle has a circumference of about 3593 kilometers, then
40212.4 cos(x) = 3593
cos(x) = 3593/40212.4 = 0.0894
x = arcos(0.0894) = 84.9°
Answer: The latitude circle is at an angle of about 85°.

Part d.
The equator has latitude angle of 0°.
The circumference of the equator is
40212.4*cos(0°) = 40212.4 km
Answer: 40212.4 km

Thepotemich [5.8K]3 years ago
8 0

Answer:

a. about 40,212 km

b. c = 40212 cos (theta)

c. about 1.48 radians

d. about 40,212 km

Step-by-step explanation:

these are the correct answers on ed-genuity, hope this helps! :)

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What do u mean by Trigonometry ? <br><br><br>​
MrMuchimi

What do u mean by Trigonometry ?

Trigonometry (from Greek trigōnon, "triangle" and metron, "measure") is a branch of mathematics that studies relationships between side lengths and angles of triangles. The field emerged in the Hellenistic world during the 3rd century BC from applications of geometry to astronomical studies. The Greeks focused on the calculation of chords, while mathematicians in India created the earliest-known tables of values for trigonometric ratios (also called trigonometric functions) such as sine.

Throughout history, trigonometry has been applied in areas such as geodesy, surveying, celestial mechanics, and navigation.

Trigonometry is known for its many identities. These trigonometric identities are commonly used for rewriting trigonometrical expressions with the aim to simplify an expression, to find a more useful form of an expression, or to solve an equation.

Hope it helps!

Pa brainliest?

8 0
3 years ago
Read 2 more answers
Somebody please help me. This makes zero sense.
earnstyle [38]

Answer:

d

Step-by-step explanation:

rearrange it like an equation.

take everything else out of the middle apart from x.

make sure that what you do to the middle you do to both sides

6 0
2 years ago
for the given license plate configuration, determine how many different plates are possinle if letters and digits (a) can ba rep
Inessa05 [86]

Answer:

a) 1,757,600 different plates possible.

b) 1,404,000 different plates possible.

Step-by-step explanation:

The permutations formula is important to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

P_{(n,x)} = \frac{n!}{(n-x)!}

(a) can be repeated:

There are 3 letters, each one with 26 possible outcomes.

2 digits, each with 10 possible outcomes

So

T = 26*26*26*10*10 = 1757600

1,757,600 different plates possible.

(b) cannot be repeated:

Here the permutations formula is used.

Three letters, from a set of 26.

Two digits, from a set of 10. So

T = P_{(26,3)}*P_{(10,2)} = \frac{26!}{(26-3)!}*\frac{10!}{(10-2)!} = 1404000

1,404,000 different plates possible.

4 0
3 years ago
Item 14
andreyandreev [35.5K]

Your collection's mean answers

median - 1930

range - 54

interquartile range - 50

mean absolute devitation - 23.75

Your friends collection mean answers

median - 1929.5

range - 15

interquartile range - 7

mean absolute devitation - 3.5

Would really appreciate a brainliest!!

8 0
3 years ago
Find the area of the following parallelogram. pleasee helppp! ​
Pani-rosa [81]

Answer:

1736

Step-by-step explanation:

Area= b x h

      = 28 x 62

      = 1736 m

7 0
3 years ago
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