Question

Calculate the eccentricity for Ellipse D. Use the equation, and always show all work.

Make all measurement in mm. Round to the nearest hundredth place.
What would the answer be to this and what are the measurements?

Answer 1

The semimajor axis of the ellipse is 8 cm and the eccentricity is 0.8. This ellipse would be best described as very elongated.

Step-by-step explanation:

The eccentricity of an ellipse can be calculated by dividing the distance from the center of the ellipse to one of the foci by half the length of the major axis. In this case, the major axis is given as 16 cm. So, the semimajor axis is half of the major axis, which is 8 cm.

Next, let's calculate the eccentricity. The eccentricity is given as 0.8, which means that the distance from the center of the ellipse to one of the foci is 0.8 times the length of the major axis. So, the distance from the center to one of the foci is 0.8 * 16 cm = 12.8 cm.

Therefore, the semimajor axis is 8 cm and the eccentricity is 0.8. Based on the given eccentricity value, this ellipse would be best described as very elongated.