A particular beach is eroding at a rate of 4 centimeters per year. A realtor converts this rate to millimeters per day. Which expression, when evaluated, results in the correct units and numerical value?

Respuesta :

Answer

0.109589 millimeters per day.


Explanation

10 mm = 1 cm

4 cm = 4 × 10

        = 40 mm

365 days = 1 year

rate to millimeters per day = 40 mm in 365 days

                                            = 40/365  mm/day

                                             = 8/73 mm/day

                                       or    = 0.109589 mm/day.

Rate to millimeters per day = 0.109589 millimeters per day.

Answer: [tex]\frac{8}{73} \text{ mm per day}[/tex]

Step-by-step explanation:

Since, the particular beach is eroding at a rate of 4 centimeters per year.

[tex]1 \text{ year } = 4 \text{ cm }[/tex]

⇒ [tex]365 \text{ days} = 4 \text{ cm }[/tex]      [tex]( 1 year = 365 days )[/tex]

⇒ [tex]365 \text{ days} = 40 \text{ mm }[/tex]    [tex]( 1 cm = 10 mm )[/tex]

⇒ [tex]1 \text{ days} = \frac{40}{365} \text{ mm }[/tex]

⇒ [tex]1 \text{ days} = \frac{8}{73} \text{ mm }[/tex]

⇒ [tex]\text{ The rate is } \frac{8}{73} \text{ mm per day}[/tex]

Which is the required expression.