PLEASE HELP!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! SUPER IMPORTANT QUESTION!!!

Mathematics

1 answer:

Anettt [7]2 years ago

8 0

Answer:

Distance between two cities is 193.94 miles.

Step-by-step explanation:

We have,

Madison and Wisconsin have latitudes 43.0731°N and 45.9172°N respectively.

Thus, their difference is 45.9172°N - 43.0731°N = 2.8441°

We assumed, the diameter of earth is 7917.5 miles.

So, the radius = $\frac{7917.5}{2}$ = 3958.75 miles

So, using the cosine formula, we have,

$a^{2}=b^{2}+c^{2}-2bc\cos A$

i.e. $a^{2}=3958.75^{2}+3958.75^{2}-2\times 3958.75\times \cos 2.8441$

i.e. $a^{2}=31343403.13\times 0.0012$

i.e. $a^{2}=37612.08$

i.e. a= 193.94 miles.

Hence, the distance between two cities is 193.94 miles.

You might be interested in

How much money would you need to deposit today at 7% annual interest

Monica [59]

Answer:

$33,090.

Step-by-step explanation:

The formula is A = P( 1 + r/2)^2n so we have:

50,000 = P(1 + 0.07/2)^(6*2)

50000 = P * 1.035^12

P = 50000/ 1.035^12

= $33,090 to the nearest dollar.

4 0

2 years ago

Pls help me for brainliest answer

Ket [755]

Answer with Step-by-step explanation:

$a)3n + 4 \\ \\n = 1 \\ 3 \times 1 + 4 \\ 3 + 4 \\ =7 \\ \\ n = 2 \\ 3 \times 2 + 4 \\ 6 + 4 \\ = 10 \\ \\ n = 3 \\ 3 \times 3 + 4 \\ 9 + 4 \\ = 13 \\ \\ n = 4 \\ 3 \times 4 + 4 \\ 12 + 4 \\ = 16 \\ \\ n = 10 \\ 3 \times 10 + 4 \\ 30 + 4 \\ = 34 \\$

So in this sequence,

1st term = 7

2nd term = 10

3rd term = 13

4th term = 16

10th term = 34

$b)4n - 5 \\ \\ n = 1 \\ 4 \times 1 - 5 \\ 4 - 5 \\ = - 1 \\ \\ n = 2 \\ 4 \times 2 - 5 \\ 8 - 5 \\ = 3 \\ \\ n = 3 \\ 4 \times 3 - 5 \\ 12 - 5 \\ = 7 \\ \\ n = 4 \\ 4 \times 4 - 5 \\ 16- 5 \\ = 11 \\ \\ n = 10 \\ 4 \times 10 - 5 \\ 40 - 5 \\ = 35$