the data table below shows some atmospheric data at different heights above earths surface for paducah…

the data table below shows some atmospheric data at different heights above earths surface for paducah, kentucky on june 2, 1990.\nheight above earths surface (m) data table\n3145 air pressure (mb) air temperature (°c)\n4408 700 10.5\n5852 600 0.9\n7550 500 -7.6\n9615 400 -19.5\n12309 300 -36.2\n200 -57.6\nthe general relationship represented by the data is that as height above earths surface increases\na both air pressure and air temperature decrease\nb both air pressure and air temperature increase\nc air pressure decreases, and air temperature increases\nd air pressure increases, and air temperature decreases\n30 what is the area, in square units, of a rectangle with side lengths 3\\frac{3}{4} units and 9\\frac{1}{2} units?\na 13\\frac{1}{4}\nb 27\\frac{3}{8}\nc 35\\frac{5}{8}\nd 47\\frac{1}{2}

the data table below shows some atmospheric data at different heights above earths surface for paducah, kentucky on june 2, 1990.\nheight above earths surface (m) data table\n3145 air pressure (mb) air temperature (°c)\n4408 700 10.5\n5852 600 0.9\n7550 500 -7.6\n9615 400 -19.5\n12309 300 -36.2\n200 -57.6\nthe general relationship represented by the data is that as height above earths surface increases\na both air pressure and air temperature decrease\nb both air pressure and air temperature increase\nc air pressure decreases, and air temperature increases\nd air pressure increases, and air temperature decreases\n30 what is the area, in square units, of a rectangle with side lengths 3\\frac{3}{4} units and 9\\frac{1}{2} units?\na 13\\frac{1}{4}\nb 27\\frac{3}{8}\nc 35\\frac{5}{8}\nd 47\\frac{1}{2}

Answer

Explanation:

Step1: Convert mixed - numbers to improper fractions

$3\frac{3}{4}=\frac{3\times4 + 3}{4}=\frac{15}{4}$ and $9\frac{1}{2}=\frac{9\times2+1}{2}=\frac{19}{2}$

Step2: Use the area formula for a rectangle

The area formula of a rectangle is $A = l\times w$. Here, $A=\frac{15}{4}\times\frac{19}{2}$

Step3: Multiply the fractions

$\frac{15}{4}\times\frac{19}{2}=\frac{15\times19}{4\times2}=\frac{285}{8}$

Step4: Convert the improper fraction back to a mixed - number

$\frac{285}{8}=35\frac{5}{8}$

Answer:

C. $35\frac{5}{8}$