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Concepts and Applications Complete the problems to practice applying the skills

ID: 3117288 • Letter: C

Question

Concepts and Applications Complete the problems to practice applying the skills and concepts learned in the section. 3. Suppose a class is building a model of the solar system. They plan to use a Styrofoam ball with a 10-centimeter diameter for the sun. a. What is the scale of their model? Write the ratio of the model sun's diameter to the actual sun's diameter. The diameter of the sun not need to simplify the ratio. 1.4 million kilometers. You do b. If the model of the entire solar system is to have the same scale all the distances must follow this ratio. Find the distance from the sun to each of the plancts in the solar system model (in centimeters) by solving the following proportion. Use the actual distances given in the Connect. Round each distance to the nearest centimeter. Also convert each distance to feet to make them easier to visualize. Record your answers in the table 10 cm 1.4 × 100 km model distance in cm actual distance in km Distance from Sun in Model Distance from Sun in Model (cm) (ft) Planet Mercury Venus Earth Mars Jupiter Saturn Uranus Neptune

Explanation / Answer

a)The ratio of model sun's diameter to the actual sun's diameter = 10centimeter/1.4 million kilometer

=1/(14 billion)

b)Actual distances between sun and planets are 57,108,150,228,779,1430,2880,4500 million km

Tabel

                   distance from sun in model(in cm)          distance from sun in model(in ft)

mercury               407                                                   13

venus                  771                                                    25

earth                   1071                                                  35

mars                   1628    53

jupiter                  5564                                                 182

saturn                 10214                                                335

uranus                20571                                                674

neptune              32142                                                1054

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