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salantis
1 month ago
11

Acapulco, Mexico and Hyderabad, India both lie at 17° north latitude, and lie very nearly halfway around the world from each oth

er in an east-west direction. The radius of Earth at a latitude of 17° is about 3790 miles. Suppose that you could fly from Acapulco directly west to Hyderabad or fly directly north to Hyderabad. Which way would be shorter, and by how much? Use 3960 miles for Earth’s radius. (Hint: To fly directly north, you would go from 17° north latitude to 90° north latitude, and then back down to 17° north latitude.)
Mathematics
1 answer:
lawyer [12.5K]1 month ago
6 0
To analyze this problem, we can treat the Earth as a sphere. For circular arcs, the arc length can be determined by the formula: L = R * C, where L is the arc length (in this case, the distance we intend to cover), R is the radius of the circle (equal to Earth's radius), and C signifies the angle we need to travel. Notably, if two cities are positioned halfway around the globe, flying west equates to a 180° angle. This provides us an arc length of: (calculated values). Heading north requires traveling to 90° latitude and then descending to 17° latitude, therefore the angle becomes: C=2*(90-17)=146°. This results in a different arc length (calculated). Consequently, flying north is indeed shorter by 2349.91 miles.
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a garden is 18 feet 3 inches long and 10 feet 8 inches wide. the amount of fencing needed to enclose the garden is Need help and
tester [12383]

Answer:

\boxed{57ft 10in}

Step-by-step explanation:

Hello!

To find the total length when it is 18 feet 3 inches, we must add both lengths:

18ft 3in + 18ft 3in = 36ft 6in

For the width, add: 10ft 8in + 10ft 8in = 20ft 16in, which converts to 21ft 4in

Therefore, l + w = 57ft 10in

I hope this is helpful:)

5 0
2 months ago
Using the extended Euclidean algorithm, find the multiplicative inverse of a. 1234 mod 4321 b. 24140 mod 40902
AnnZ [12381]

(a) The multiplicative inverse of 1234 (mod 4321) is x so that 1234*x ≡ 1 (mod 4321). We can apply Euclid's algorithm:

4321 = 1234 * 3 + 619

1234 = 619 * 1 + 615

619 = 615 * 1 + 4

615 = 4 * 153 + 3

4 = 3 * 1 + 1

Now we will express 1 as a linear combination of 4321 and 1234:

1 = 4 - 3

1 = 4 - (615 - 4 * 153) = 4 * 154 - 615

1 = 619 * 154 - 155 * (1234 - 619) = 619 * 309 - 155 * 1234

1 = (4321 - 1234 * 3) * 309 - 155 * 1234 = 4321 * 309 - 1082 * 1234

This reduces to

1 ≡ -1082 * 1234 (mod 4321)

Thus, the inverse is

-1082 ≡ 3239 (mod 4321)

(b) Since both 24140 and 40902 are even, their GCD cannot equal 1, indicating no inverse exists.

8 0
3 months ago
In the diagram below BD is parallel to XY. What is the value of x
Svet_ta [12734]

The value of x equals 60 degrees.

This is because alternate interior angles are equal by definition :)

Can I get the brainliest award please?

5 0
3 months ago
Read 2 more answers
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