Question

unearthing mars — a historical perspective
student answer packet 1: to be completed with a partner. numbers next to each task
indicate the steps found in your student directions handout. express all numerical
answers to the nearest tenth unless indicated.

1. eccentricity of model of mars orbit using given calculations

eccentricity = \\( \frac { \text { distance between foci } ( mathrm { cm } ) } { \text { length of major axis } ( mathrm { cm } ) } \\)
solve for x : \\( 0.094 = \frac { x } { 16.1 mathrm { cm } } \\)
workspace:
= 1.5 cm
distance between foci: \\( \frac { 1.5 } { } \\)cm

1. length of major axis: \\( \frac { 10.2 } { } \\)cm
2. a. m1 to sun: \\( \frac { } { } \\)cm

b. sun to m3: \\( \frac { } { } \\)cm
d. distance between foci: \\( \frac { 1.5 } { } \\)cm

Explanation:

Step1: Cross - multiply the equation

Given \(0.094=\frac{x}{16.1}\), cross - multiplying gives \(x = 0.094\times16.1\).

Step2: Calculate the product

\(x=0.094\times16.1 = 1.5134\approx1.5\) (rounded to the nearest tenth).

Answer:

\(1.5\)