actives o A Identify the 1. She asked for some water to drink, We water our plants every day. This is Madhav's water bottle, 2. It might snow tonight. We shovelled the snow away from the driveway. What a view of the Himalayan snow line! 3. This instrument sounds like a whistle. We heard the gurgling sound of the river. Uma always gives me sound advice. 4. Linda has pain in her lower back. I back those who keep their promises. Hema has cavities in her back teeth. who can answer this question I am making him Brainliest
Answers
Answer:
We have given that,
\displaystyle{\sf\:3\:\cot\:A\:=\:4}3cotA=4
We have to find the value of
\displaystyle{\sf\:\dfrac{3\:\cos\:A\:+\:2\:\sin\:A}{3\:\cos\:A\:-\:2\:\sin\:A}}
3cosA−2sinA
3cosA+2sinA
Now,
\displaystyle{\sf\:3\:\cot\:A\:=\:4}3cotA=4
\displaystyle{\implies\boxed{\sf\:\cot\:A\:=\:\dfrac{4}{3}}}⟹
cotA=
3
4
Consider a right triangle ABC right angled at angle B.
We know that,
\displaystyle{\pink{\sf\:\cot\:A\:=\:\dfrac{Adjacent\:side}{Opposite\:side}}}cotA=
Oppositeside
Adjacentside
\displaystyle{\implies\sf\:\dfrac{4}{3}\:=\:\dfrac{AB}{BC}}⟹
3
4
=
BC
AB
\displaystyle{\implies\sf\:AB\:=\:4x}⟹AB=4x
\displaystyle{\sf\:BC\:=\:3x}BC=3x
Now, by Pythagoras theorem,
\displaystyle{\pink{\sf\:(\:AC\:)^2\:=\:(\:AB\:)^2\:+\:(\:BC\:)^2}}(AC)
2
=(AB)
2
+(BC)
2
\displaystyle{\implies\sf\:AC^2\:=\:(\:4x\:)^2\:+\:(\:3x\:)^2}⟹AC
2
=(4x)
2
+(3x)
2
\displaystyle{\implies\sf\:AC^2\:=\:16x^2\:+\:9x^2}⟹AC
2
=16x
2
+9x
2
\displaystyle{\implies\sf\:AC^2\:=\:25x^2}⟹AC
2
=25x
2
\displaystyle{\implies\sf\:AC\:=\:5x\:}⟹AC=5x
\displaystyle{\therefore\boxed{\sf\:Hypotenuse\:=\:5x}}∴
Hypotenuse=5x
Now, we know that,
\displaystyle{\pink{\sf\:\sin\:A\:=\:\dfrac{Opposite\:side}{Hypotenuse}}}sinA=
Hypotenuse
Oppositeside
\displaystyle{\implies\sf\:\sin\:A\:=\:\dfrac{3\:\cancel{x}}{5\:\cancel{x}}}⟹sinA=
5
x
3
x
\displaystyle{\implies\sf\:\sin\:A\:=\:\dfrac{3}{5}}⟹sinA=
5
3
\displaystyle{\implies\sf\:2\:\sin\:A\:=\:\dfrac{2\:\times\:3}{5}}⟹2sinA=
5
2×3
\displaystyle{\implies\boxed{\blue{\sf\:2\:\sin\:A\:=\:\dfrac{6}{5}}}}⟹
2sinA=
5
6
Now, we know that,
\displaystyle{\pink{\sf\:\cos\:A\:=\:\dfrac{Adjacent\:side}{Hypotenuse}}}cosA=
Hypotenuse
Adjacentside
\displaystyle{\implies\sf\:\cos\:A\:=\:\dfrac{4\:\cancel{x}}{5\:\cancel{x}}}⟹cosA=
5
x
4
x
\displaystyle{\implies\sf\:\cos\:A\:=\:\dfrac{4}{5}}⟹cosA=
5
4
\displaystyle{\implies\sf\:3\:\cos\:A\:=\:\dfrac{3\:\times\:4}{5}}⟹3cosA=
5
3×4
\displaystyle{\implies\boxed{\green{\sf\:3\:\cos\:A\:=\:\dfrac{12}{5}}}}⟹
3cosA=
5
12
Now, we have to find the value of
\displaystyle{\sf\:\dfrac{3\:\cos\:A\:+\:2\:\sin\:A}{3\:\cos\:A\:-\:2\:\sin\:A}}
3cosA−2sinA
3cosA+2sinA
\displaystyle{\implies\sf\:\dfrac{\dfrac{12}{5}\:+\:\dfrac{6}{5}}{\dfrac{12}{5}\:-\:\dfrac{6}{5}}}⟹
5
12
−
5
6
5
12
+
5
6
\displaystyle{\implies\sf\:\dfrac{\dfrac{12\:+\:6}{5}}{\dfrac{12\:-\:6}{5}}}⟹
5
12−6
5
12+6
\displaystyle{\implies\sf\:\dfrac{\dfrac{18}{5}}{\dfrac{6}{5}}}⟹
5
6
5
18
\displaystyle{\implies\sf\:\dfrac{18}{\cancel{5}}\:\times\:\dfrac{\cancel{5}}{6}}⟹
5
18
×
6
5
\displaystyle{\implies\sf\:\cancel{\dfrac{18}{6}}}⟹
6
18
ढघसररगहरघरहलघसल
\displaystyle{\implies\sf\:3}⟹3
\displaystyle{\therefore\:\underline{\boxed{\red{\sf\:\dfrac{3\:\cos\:A\:+\:2\:\sin\:A}{3\:\cos\:A\:-\:2\:\sin\:A}\:=\:3\:}}}}∴
3cosA−2sinA
3cosरडथथभद थढहथ
The mere mention of a snowflake in the seven-day forecast has the Washington region scrambling to stockpile food and toilet paper rations from the neighborhood grocery store. Our collective aversion to snow also places great pressure on local departments of transportation to vaporize every snowflake that touches a road surface.
The mere mention of a snowflake in the seven-day forecast has the Washington region scrambling to stockpile food and toilet paper rations from the neighborhood grocery store. Our collective aversion to snow also places great pressure on local departments of transportation to vaporize every snowflake that touches a road surface.However, the salt that gets spread on our roadways, driveways, parking lots, and sidewalks each winter is putting the quality of our drinking water at risk.
The mere mention of a snowflake in the seven-day forecast has the Washington region scrambling to stockpile food and toilet paper rations from the neighborhood grocery store. Our collective aversion to snow also places great pressure on local departments of transportation to vaporize every snowflake that touches a road surface.However, the salt that gets spread on our roadways, driveways, parking lots, and sidewalks each winter is putting the quality of our drinking water at risk.Salt pollution is a national problem
The mere mention of a snowflake in the seven-day forecast has the Washington region scrambling to stockpile food and toilet paper rations from the neighborhood grocery store. Our collective aversion to snow also places great pressure on local departments of transportation to vaporize every snowflake that touches a road surface.However, the salt that gets spread on our roadways, driveways, parking lots, and sidewalks each winter is putting the quality of our drinking water at risk.Salt pollution is a national problemEvery winter nationwide we dump more than 20 million tons of sodium chloride (salt) onto our roadways, parking lots, driveways, and sidewalks. Road salts are increasingly contributing to poor water quality in our streams, rivers, and lakes across the country.
The mere mention of a snowflake in the seven-day forecast has the Washington region scrambling to stockpile food and toilet paper rations from the neighborhood grocery store. Our collective aversion to snow also places great pressure on local departments of transportation to vaporize every snowflake that touches a road surface.However, the salt that gets spread on our roadways, driveways, parking lots, and sidewalks each winter is putting the quality of our drinking water at risk.Salt pollution is a national problemEvery winter nationwide we dump more than 20 million tons of sodium chloride (salt) onto our roadways, parking lots, driveways, and sidewalks. Road salts are increasingly contributing to poor water quality in our streams, rivers, and lakes across the country.According to the US Geological Survey (USGS), de-icing was the primary use of salt (46 percent) in 2008. By comparison, the entire food processing industry, agriculture, and direct consumption was less than 10 percent of the sodium chloride market in that same year.
The mere mention of a snowflake in the seven-day forecast has the Washington region scrambling to stockpile food and toilet paper rations from the neighborhood grocery store. Our collective aversion to snow also places great pressure on local departments of transportation to vaporize every snowflake that touches a road surface.However, the salt that gets spread on our roadways, driveways, parking lots, and sidewalks each winter is putting the quality of our drinking water at risk.Salt pollution is a national problemEvery winter nationwide we dump more than 20 million tons of sodium chloride (salt) onto our roadways, parking lots, driveways, and sidewalks. Road salts are increasingly contributing to poor water quality in our streams, rivers, and lakes across the country.According to the US Geological Survey (USGS), de-icing was the primary use of salt (46 percent) in 2008. By comparison, the entire food processing industry, agriculture, and direct consumption was less than 10 percent of the sodium chloride market in that same year.While the corrosive impacts to road infrastructure and vehicles are well known, we are only recently learning more about the long term impacts to local water quality. Researchers at the University of Minnesota observed rising concentrations of chloride in streams and lakes around the state, and estimate that 70 percent of road salt applied around the Twin Cities remains in the watershed.