Answer :

Final answer:

The student's height is 62.6 inches and her weight is 101 pounds, converted from metric to imperial units using appropriate conversion factors.

Explanation:

To convert the height from cm to inches, we use the conversion factor of 1 inch equal to 2.54 cm. Hence, divide the height in cm by 2.54 to convert to inches.

159 cm x (1 in/2.54 cm) = 62.6 inches.

Next, to convert the weight from kg to pounds, we use the conversion factor of 1kg equal to 2.20462 lbs. Hence, multiply the weight in kg by 2.20462 to convert to pounds.

45.8 kg x (2.20462 lbs/1 kg) = 101 lbs (rounded).

So, the student's height is 62.6 inches and her weight is 101 pounds.

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Rewritten by : Barada

Answer : The weight and height of student are, 100.989 pound and 62.646 inches respectively.

Explanation :

Conversion used for cm to inches are:

[tex]1cm=0.394\text{ inhes}[/tex]

Conversion used for kg to pound are:

[tex]1kg=2.205\text{ pound}[/tex]

As we are given the weight of student 45.8 kg and height 159 cm.

Now we have to determine the weight and height of student in pound and inches respectively.

As, 1 cm height of student = 0.394 inches

So, 159 cm height of student = [tex]\frac{159cm}{1cm}\times 0.394\text{ inches}=62.646\text{ inches}[/tex]

and,

As, 1 kg weight of student = 2.205 pound

So, 45.8 kg weight of student = [tex]\frac{45.8kg}{1kg}\times 2.205\text{ pound}=100.989\text{ pound}[/tex]

Therefore, the weight and height of student are, 100.989 pound and 62.646 inches respectively.