Final answer:
The magnified length of the ladybug is 45 millimeters when using a magnifying glass with a 10X magnification level.
Step-by-step explanation:
To calculate the magnified length of a ladybug through a magnifying glass with a magnification of 10X, you simply multiply the actual length of the ladybug by the magnification level. The actual length of the ladybug is given as 4.5 mm. Since the magnification level is 10X, the length of the image seen through the magnifying glass is 4.5 mm multiplied by 10.
Magnified length = Actual length × Magnification level
Magnified length = 4.5 mm × 10
Magnified length = 45 mm
Therefore, the length of the image of the ladybug when magnified 10 times is 45 millimeters.