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dybincka [34]
3 years ago
8

The earth has a diameter of 7917.5 mi. What is the arc length of half the earth?

Mathematics
1 answer:
Serhud [2]3 years ago
5 0

Answer:

Arc length is 12436.8m

Step-by-step explanation:

arc length  = \frac{M degree}{360degree} * πD

where M is the angle measure of the arc

and D is the diameter

considering the earth as a circle and half the earth as a semi circle the angle measure of the arc will be = 180 degrees

\frac{180}{360} * π * 7917.5 = 12436.8m

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Answer:

The remainder is 1

Step-by-step explanation:

Given the Fibonacci sequence

F_1 = F_2 = 1, and

F_(n + 2) = F_(n + 1) + F_n

We want to find the remainder when F_(1999) is divided by 5.

Let us write the first 20 numbers of the sequence in (mod 5). They are

F_1 = 1,

F_2 = 1,

F_3 = 2,

F_4 = 3,

F_5 = 5 = 0 (mod 5),

F_6 = 3,

F_7 = 3,

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We have: 1, 1, 2, 3, 0, 3, 3, 1, 4, 0, 4, 4, 3, 2, 0, 2, 2, 4, 1, 0

Now, 1999 = 19(mod 20)

The 19th number in the sequence is 1.

So, the remainder is 1.

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