buddyshaw76
02.07.2020 •
Mathematics
The weight of a body above sea level varies inversely with the square of the distance from the center of Earth. If a woman weighs 123 pounds when she is at sea level, 3960 miles from the center of Earth, how much will she weigh when she is at the top of a mountain, 3.2 miles above sea level?
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Ответ:
Her weight is approximately 122.8lb
Step-by-step explanation:
Given
Inverse proportion;
Weight = 123lb when distance = 3960 miles from center of earth
Required
Calculate the weight when distance is 3.2 miles above sea level
Let weight be represented by W and distance by D
From the question, we understand that;
Weight is inversely proportional to square of distance;
Mathematically; this is
Convert proportion to equation
Where k is the constant of proportionality
When W = 123; D = 3960.
This implies that
Make k the subject of formula
Calculating her weight when she's at the top of mountain, 3.2 miles above sea level
First, her distance from center of earth has to be calculated
Distance = Previous distance + 3.2
Distance = 3960 + 3.2
Distance = 3963.2
Now, her weight can be calculated using
Substitute for k and D
Ответ:
width(w)= w
Perimeter(P)= 2w+2l= 72 (simplify expression: divide each side by 2 )
P= w+l= 36 (plug in "2w" for "l")
P= w+(2w)= 36
P= 3w= 36 (divide each side by 3 to find the width)
w= 12 units
find length:
l=2w
l= 2(12)
l= 24 units
The length of this rectangle is 24 units and the width is 12 units.