a particular beach is eroding at a rate of 4 centimeters per year. a realtor converts this rate to…

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?\n\\(\\frac{4\\text{ cm}}{1\\text{ year}}\\times\\frac{10\\text{ mm}}{1\\text{ cm}}\\times\\frac{1\\text{ year}}{365\\text{ days}}\\)\n\\(\\frac{4\\text{ cm}}{1\\text{ year}}\\times\\frac{1\\text{ mm}}{10\\text{ cm}}\\times\\frac{1\\text{ year}}{365\\text{ days}}\\)\n\\(\\frac{4\\text{ cm}}{1\\text{ year}}\\times\\frac{1\\text{ cm}}{10\\text{ mm}}\\times\\frac{365\\text{ days}}{1\\text{ year}}\\)\n\\(\\frac{4\\text{ cm}}{1\\text{ year}}\\times\\frac{10\\text{ mm}}{1\\text{ cm}}\\times\\frac{365\\text{ days}}{1\\text{ year}}\\)

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?\n\\(\\frac{4\\text{ cm}}{1\\text{ year}}\\times\\frac{10\\text{ mm}}{1\\text{ cm}}\\times\\frac{1\\text{ year}}{365\\text{ days}}\\)\n\\(\\frac{4\\text{ cm}}{1\\text{ year}}\\times\\frac{1\\text{ mm}}{10\\text{ cm}}\\times\\frac{1\\text{ year}}{365\\text{ days}}\\)\n\\(\\frac{4\\text{ cm}}{1\\text{ year}}\\times\\frac{1\\text{ cm}}{10\\text{ mm}}\\times\\frac{365\\text{ days}}{1\\text{ year}}\\)\n\\(\\frac{4\\text{ cm}}{1\\text{ year}}\\times\\frac{10\\text{ mm}}{1\\text{ cm}}\\times\\frac{365\\text{ days}}{1\\text{ year}}\\)

Answer

Answer:

A. $\frac{4\ cm}{1\ year}\times\frac{10\ mm}{1\ cm}\times\frac{1\ year}{365\ days}$

Explanation:

Step1: Convert cm to mm

We know that $1\ cm = 10\ mm$, so to convert 4 cm to mm, we multiply by $\frac{10\ mm}{1\ cm}$.

Step2: Convert years to days

There are 365 days in a year. To convert the rate from per - year to per - day, we multiply by $\frac{1\ year}{365\ days}$. The original rate is $\frac{4\ cm}{1\ year}$. After the unit - conversion steps, the correct expression for converting 4 cm per year to mm per day is $\frac{4\ cm}{1\ year}\times\frac{10\ mm}{1\ cm}\times\frac{1\ year}{365\ days}$.