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**On A Clear Day Maria Garcia Jessica Jimenez Anallely Guerrero**

Shweta Gyasi

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Parts 1-2 Writing/Developing/Calculating a Formula

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**Part 1: Writing/Developing a Formula**

How many feet are in a mile? 5280 ft. How would you convert 15 ft to miles? How Would you represent h feet in miles? A. Use the Pythagorean Theorem to write an equation relating r, d, & h. B. Solve for d. C. In the equation found in part b, replace the h with the answer from #3.

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**Part 2: Calculating the Formula**

Explain why the formula found in Part 1c in approximately equivalent to It is approximately equivalent because if you would to plug in something for h to the original equation found in Part 1: 4c , the number would be too small to take into consideration.

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PARTS 3 Researching Planet Radii

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**Planet Radii Planet Radius Mercury 1515.52 mi Venus 3760.54 mi Earth**

Mars mi Jupiter mi Saturn mi Uranus mi Neptune mi Pluto* mi

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PARTS 4 Using the Formula

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Using the formula and the radius of the Earth in Part 3, determine how far you can see on a clear day. (Hint: Plug in your height for h) Solve the formula for h. Using the formula from #2 and radii found in Part 3, determine how tall a person would have to be on Saturn to see 7 mi to the horizon.

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4. Using the formula from #2 and radii found in Part 3, determine how tall a person would have to be on Saturn to see 7 mi to the horizon. 5. Could a person possible see 7 mi to the horizon on Saturn? Why or why not? No, because there is no person that is that tall. 6. Could a person possibly see 7 mi to the horizon on Saturn? Why or why not? No, because people can not live there

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Parts 5-6 Graphing Formulas & Visual Display

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**Interesting Facts about Mars….**

Mars has the largest canyon in the solar system. It has the largest volcano in the solar system (Olympus Mons), which covers an area about the size of Arizona. About every two years the Earth and Mars come close together. The planet has two moons, Deimos and Phobos. Mars was named by the Romans for their god of war because of its red, bloodlike color.

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**Mars Using the formula :**

I found the distance in miles by plugging in my height, and the planet’s (Mars) radius. Which translates to : ft.

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Mars: Formula & Graph Graph Formula

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**Distance from Sun Approximately 466 million miles**

Number of Moons 62 moons have been identified Ganymede is the largest moon -- it is bigger than both Mercury and Pluto Diameter 85,788 miles the largest planet -- more than 12 Earths could line up across it! scientists use the planet's gravity to accelerate spacecraft so they can reach Saturn, Uranus and Neptune Composition a giant ball of mostly hydrogen and helium Length of Day 9 hours, 55 minutes in Earth time (the length of one rotation) Length of a Year 12 Earth years (the length of one orbit around the sun) Name named for the king of the Roman gods. Visited by Pioneer 11, Viking, Galileo, Cassini and others Jupiter #5 Part 5 & 6:

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**Jupiter’s FORMULA & GRAPH**

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**Uranus =4.847 Facts: 4.847miles = 25592.16 feet :D =13.2446**

Uranus is the seventh planet from the Sun. Uranus is a giant gas planets which is made up of mostly rock and various ices. Uranus has been visited by only one spacecraft, Voyager 2 on Jan Uranus spins differently from most planets. It seems to be tilted "sideways" instead of right-side up. At the time of Voyager 2’ passage, Uranus' south pole was pointed almost directly at the Sun. Uranus has 15 known moons. Voyager 2 discovered 10 small moons in addition to the 5 large ones already known. It is likely that there are many more tiny moons within the rings. = feet :D =

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Uranus

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Uranus Formula Graph

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Neptune I choose a Neptune, a planet. It is an eighth planet in the solar system. With my height and the formula given I found that visible distance is ft in order to see my chosen Planet, Neptune.

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**Facts of Neptune Facts about Neptune**

False-color image of Neptune. Red areas are semitransparent haze covering planet. Facts about Neptune Topic Data Diameter 49,572 km Density 1.64 g/cm3 Mass 1.024 x 1026 kg Volume 6.379 x 1013 km3 Temperature Range -223° C to >-220° C Atmosphere Hydrogen, Helium, Methane Winds Up to 2400 m/s Moons 13 Average Distance from Sun 4,504,300,000 km Orbital Period 164 Years, 288 Days, 13.0 Hours Rotation 0 Days, Hours Tilt 28.31° Rings Yes Composition Hydrogen and Helium Magnetic Field Up to 20 times its radius Cloud systems in Neptune's southern hemisphere. Neptune's Great Dark Spot Neptune's rings

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Neptune Formula Graph

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**Yes, we learned about the teamwork as especially about communication.**

Summary!!! For the shortcut, we used the calculator and the length converter for solving the formulas and equations. We learned lot of things such as how tall a person would have to be to see the horizon. Yes, we learned about the teamwork as especially about communication. The hardest part of the project was part 1. it was hard because we did not know about the height part and we spend like 2 days in finding onle that part. The easiest part of the project was part 5. it was easy because we already had the formulas and know how to solve it, from part 4.

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