document.write( "Question 1128300: Situated in the northeastern portion of Oriental Mindoro, Naujan Lake is a freshwater
\n" ); document.write( "lake that has a surface area of 82 km2
\n" ); document.write( ". During October 2018, the lake evaporation was
\n" ); document.write( "measured to be 90 mm. Tigbao, Malbog, Maambog, and Cusay Creeks flow into the lake.
\n" ); document.write( "During the same month, the total inflow to the lake from these creeks was 35.90 m3
\n" ); document.write( "/s. At
\n" ); document.write( "the same time, the lake has only one outlet, Butas River, which has a total outflow of 40.2
\n" ); document.write( "m
\n" ); document.write( "3
\n" ); document.write( "/s from the lake. Also, for the same month, a water level increase of 100 mm for the
\n" ); document.write( "lake was observed. Using the water balance equation, what was the precipitation (in mm)
\n" ); document.write( "during that month?
\n" ); document.write( "Please help me with this my teacher gave this hw without discussing to us about it i tried to search for the formula but i dont know which is the correct one if possible can anyone assist me with this quesion?
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Algebra.Com's Answer #744774 by KMST(5328)\"\" \"About 
You can put this solution on YOUR website!
I do not know of a formula,
\n" ); document.write( "and different teachers may use different formulas.
\n" ); document.write( "I believe formulas are for computers,
\n" ); document.write( "who cannot think for themselves.
\n" ); document.write( "Humans should be able to reason their way to their own formulas.
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\n" ); document.write( "We know that
\n" ); document.write( "water entered the lake
\n" ); document.write( "X) from rain, and
\n" ); document.write( "A) from the creeks flowing into the lake, and
\n" ); document.write( "water exited the lake
\n" ); document.write( "B) through evaporation, and
\n" ); document.write( "C) through the Butas River.
\n" ); document.write( "That caused
\n" ); document.write( "D) an increase in the amount of water in the lake.
\n" ); document.write( "We can figure that
\n" ); document.write( "\"X%2Bblue%28A%29-green%28B%29-blue%28C%29=red%28D%29\"
\n" ); document.write( "(water entering - water leaving = water increase in the lake).
\n" ); document.write( "
\n" ); document.write( "It would make sense to express all those amounts of water in cubic meters.
\n" ); document.write( "That would take some calculations, because
\n" ); document.write( "the water entering and exiting through creeks and river is measured in cubic meters per second,
\n" ); document.write( "while the precipitation and evaporation are given in mm, apparently as total for the whole month.
\n" ); document.write( "
\n" ); document.write( "The surface of the lake in square meters is
\n" ); document.write( "\"%2882km%5E2%29%281000m%2Fkm%29%281000m%2Fkm%29=%2282%2C000%2C000%22\"\"m%5E2\"
\n" ); document.write( "The level of the lake rose by
\n" ); document.write( "\"100mm%281m%2F%221000+mm%22%29=0.1m\"
\n" ); document.write( "The water increase in the lake, in cubic meters can be estimated as
\n" ); document.write( "\"red%28D%29=%2882km%5E2%29%28100mm%29=%2282%2C000%2C000%22\"\"m%5E2%280.1m%29=red%28%228%2C200%2C000%22%29\"\"m%5E3\"
\n" ); document.write( "The evaporation from the lake, in cubic meters can be estimated as
\n" ); document.write( "\"green%28B%29=%2882km%5E2%29%28900mm%29=%2282%2C000%2C000%22\"\"m%5E2%280.09m%29=green%28%227%2C380%2C000%22%29\"\"m%5E3\"
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\n" ); document.write( "The amounts of water coming in from the creeks and leaving through the Butas River are given in cubic meters per second,
\n" ); document.write( "and we have to calculate for a 31-day month with 24-hour days, and
\n" ); document.write( "\"seconds\"
\n" ); document.write( "The total inflow in cubic meters can be calculated as
\n" ); document.write( "\"blue%28A%29=%2835.9m3%2F%221+second%22%29%2A%222%2C678%2C400%22\"\"seconds=blue%28%2296%2C154%2C560%22%29\"\"m%5E3\"
\n" ); document.write( "The total outflow in cubic meters can be calculated as
\n" ); document.write( "\"blue%28C%29=%2840.2m%5E3%2F%221+second%22%29%2A%222%2C678%2C400%22\"\"seconds=blue%28%22107%2C671%2C680%22%29\"\"m%5E3\"
\n" ); document.write( "
\n" ); document.write( "Expressed all in cubic meters, \"X%2Bblue%28A%29-green%28B%29-blue%28C%29=red%28D%29\" looks like
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\n" ); document.write( "
\n" ); document.write( "That volume of water, expressed as precipitation falling over the
\n" ); document.write( "\"82km%5E2=%2282%2C000%2C000%22\"\"m%5E2\" of lake surface is
\n" ); document.write( "\"27097120m%5E3%2F82000000m%5E2=0.33045m=about\"\"highlight%28330mm%29\"
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