# One afternoon, a couple walks three-fourths of the way around a circular lake, the radius of which is 1.03 km. They start at the west side of the lake and head due south to begin with. (a) What is the

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1. ### physics

One afternoon, a couple walks three-fourths of the way around a circular lake, the radius of which is 1.47 km. They start at the west side of the lake and head due south to begin with. (a) What is the distance they travel? (b) What is the magnitude of the couple’s ...
2. ### Phyics

One afternoon, a couple walks three-fourths of the way around a circular lake, the radius of which is 2.16 km. They start at the west side of the lake and head due south to begin with. (a) What is the distance they travel? (b) What is the magnitude of the couple’s ...
3. ### physics

One afternoon, a couple walks three-fourths of the way around a circular lake, the radius of which is 2.12 km. They start at the west side of the lake and head due south to begin with. (a) What is the distance they travel? (b) What is the magnitude of the couple’s ...
4. ### physics

One afternoon, a couple walks three-fourths of the way around a circular lake, the radius of which is 1.03 km. They start at the west side of the lake and head due south to begin with. (a) What is the distance they travel? (b) What is the magnitude of the coupleâ€™s ...
5. ### physics

One afternoon, a couple walks five-eighths of the way around a circular lake, the radius of which is 1.45 km. They start at the west side of the lake and head due south to begin with. (a) What is the distance they travel?
6. ### Physics

One afternoon, a couple walks three-fourth of the way around a circular lake, the radius of which is 1.45km. They start at the south side of the lake and head due east at the beginning of their walk. (a) What is the distance they travel? (b) What are the magnitude and ...
7. ### Physics

One afternoon, a couple walks five-sixths of the way around a circular lake, the radius of which is 1.45 km. They start at the west side of the lake and head due south to begin with. (a) What is the distance they travel? (b) What are the magnitude and direction (relative to ...
8. ### Alegabra

Russell Gossman is training for the Olympics. He wants to know the distance across Lake Royal, so he can write in his training logbook how far he rows each day. If from one point on the shore to one side of the lake is 13 km and from the same point to another side of the lake ...
9. ### Calculus 1

A woman at a point A on the shore of a circular lake with radius r=4 wants to arrive at the point C diametrically opposite A on the other side of the lake in the shortest possible time. She can walk at the rate of 10mph and row a boat at 5mph. What is the shortest amount of ...
10. ### Physics

Two people start at the same place and walk around a circular lake in opposite directions. One walks with an angular speed of 1.10 10-3 rad/s, while the other has an angular speed of 3.90 10-3 rad/s. How long will it be before they meet?
11. ### physics

Two people start at the same place and walk around a circular lake in opposite directions. One walks with an angular speed of 1.40 10-3 rad/s, while the other has an angular speed of 3.10 10-3 rad/s. How long will it be before they meet?
12. ### HS Physics

Two people start at the same place and walk around a circular lake in opposite directions. One walks with an angular speed of 1.10 10-3 rad/s, while the other has an angular speed of 3.90 10-3 rad/s. How long will it be before they meet? I can NOT figure it out. I got 20 and ...
13. ### math

Surfact of A lake is 31 feet above the surface of B lake. B lake is half as deep as A Lake and the bottum of the B lake is 8 feet below the bottom of A Lake. how deep is each lake?
14. ### calculus

An artificially created lake is bordered on one side by a straight dam. The shape of the lake surface is that of a region in the xy-plane bounded by the graphs of 2y=16-x^2 and x+2y=4. Find the area of the surface of the lake.
15. ### Social Studies

Lake Michigan and Lake Huron have the same surface elevation of ___ feet 577? The ___ Channel connects Lake Huron Lake St Clair and Lake Erie South? Niagara Falls is between Lake Erie and Lake __ Ontario? Lake Ontario is connected to the St Lawrence Seaway a series of ___ 7 ...
16. ### Physics

You like to swim at a nearby lake. On one side of the lake is a cliff, and the top of the cliff is 36m above the surface of the lake. You dive off the cliff doing somersaults so as to have an angular speed of 6rev/min. How many revolutions do you make before you hit the water...
17. ### trigonometry

The side of a lake has a uniform angle of elevation of 15 degrees 30 feet. How far up the side of the lake does the water rise if the height of the lake increases by 7.3 feet during flood season.
18. ### Trigonometry

From an observation tower that overlooks a small lake, the angles of depression of point A, on one side of the lake, and point B, on the opposite side of the lake are, 7degrees and 13degrees, respectively. The points and the tower are in the same vertical plane and the ...
19. ### Calculus

A woman at point A on the shore of a circular lake with radius 2.5mi wants to arrive at the point C diametrically opposite A on the other side of the lake in the shortest possible time. She can walk at a rate of 3.25 mi/hr and row at a rate of 2 mi/hr. Find shortest time.
20. ### Chemstry

Mercury concentration in a polluted lake is 0.0125 micrograms/L. What is the total mass in kilograms of mercury in the lake if the lake is approximately circular witha diameter of 10 miles and an average depth of 50 ft.?
21. ### science help pls pls

Look at the position of Location 1, Location 2, and Location 3 in this picture. Simple diagram of a lake represented by a wavy circle. The circle is labeled 'Lake,' and there are three points outside of the lake: 'Location 1' is to the northeast of the lake, 'Location 2' is to...
22. ### SS/WGeogrophy

which lake does the equator pass through: Lake Victoria,Lake Malawi,or lake Chad?
23. ### physics

A plane flies from base camp to Lake A, 220 km away in the direction 20.0° north of east. After dropping off supplies it flies to Lake B, which is 150 km at 30.0° west of north from Lake A. Graphically determine the distance and direction from Lake B to the base camp.
24. ### PreCalculus

Problem 1.) Three friends want to share a circular 16-inch pizza equally by exactly only two parallel cuts. How far from the center must the cuts be? Hint: The pizza is a circle of radius 8 inches. Problem 2.) You are at the southernmost point of a circular lake of radius 8 ...
25. ### Pre-Algebra (Pythagorean Theorem)

Russell Gossman is training for the Olympics. He wants to know the distance across Lake Royal so he can write how far he went in his training logbook each day. If from one point on the shore to one side in 13 km and from the same point to another side of the lake is 16 km. ...
26. ### Physics

You like to swim at a nearby lake. On one side of the lake is a cliff, and the top of the cliff is 69 m above the surface of the lake. You dive of the cliff doing somersaults so as to have an angular speed of 5.5 rev/s. How many revolutions do you make before you hit the water...
27. ### History8

Which of the following most affects the size of the Great Salt Lake? A.the salt in the lake B. the region’s climate C. human modifications of the lake D. the minerals in the soil under the lake
28. ### Social Studies

Lake Huron is the northernmost Great Lake False? Lake Ontario is the closest Great lake to ottawa canada True?
29. ### environmental engineering

A lake receives 8 m3/s of inflow containing 0.3 mol/m3 of a chemical. The chemical reacts with a first order rate constant of 0.01 h-1. The outflow from the lake is also 8 m3/s. Assume there was no chemical in the lake at the beginning and volume of the lake is 106 m3. What ...
30. ### English

On the hill, there is a house. When we walk down a little, there is a lake. In that case, we can say as follows. 1. The house is above the lake. 2. The house is over the lake. 3. The lake is below the house. 4. The lake is under the house. In this case, #1 and #3 are right. ...
31. ### physics

An airplane wants to drop a load of fish inot a small lake in the mountains. The plane is flying at its min speed 40 m/s, and is 50 meters above the surface of the lake. a.) Where relative to the lake should the plane be when the fish are dropped so that they land in the ...
32. ### physics vectors

A plane flies from base camp to Lake A, 260 km away in the direction 20.0° north of east. After dropping off supplies it flies to Lake B, which is 150 km at 30.0° west of north from Lake A. Graphically determine the distance and direction from Lake B to the base camp. ...
33. ### physics

A plane flies from base camp to Lake A, 260 km away in the direction 20.0° north of east. After dropping off supplies it flies to Lake B, which is 150 km at 30.0° west of north from Lake A. Graphically determine the distance and direction from Lake B to the base camp. ...
34. ### geography

Will you please check my answers? 1. The largest lake in the world is located near the border of Asia and Europe. What is its name? Caspian Sea 2. What is the name of the country that shares the Iberian Peninsula with Spain? Portugal 3. Name the Great Lakes that border Canada...
35. ### physics

A plane flies from base camp to Lake A, 260 km away in the direction 20.0° north of east. After dropping off supplies it flies to Lake B, which is 150 km at 30.0° west of north from Lake A. Graphically determine the distance and direction from Lake B to the base camp. ...
36. ### Physics

A plane flies from base camp to lake A, a distance of 300 km at a direction of 20.0° north of east. After dropping off supplies, the plane flies to lake B, which is 210 km and 30.0° west of north from lake A. Graphically determine the distance and direction from lake B to ...
37. ### math

A circular lake is 30 miles across at its widest point. What is the area of the lake in acres? Round your answer to the nearest tenth of an acre.
38. ### Nfl

The Detroit lions will cruise to their game by sailing north on the ------- river across lake -- ----- Up the -- ----- river across lake ----- through the straits of -------- a Ross the north end of lake -------- around the tip of the door peninsula and south into green bay
39. ### Physics

Two people start at the same place and walk around a circular lake in opposite directions. One has an angular speed of 1.2 10-3 rad/s, while the other has an angular speed of 3.4 10-3 rad/s. How long will it be before they meet?
40. ### physics

Two people start at the same place and walk around a circular lake in opposite directions. One has an angular speed of 2.46 x 10-3 rad/s, while the other has an angular speed of 7.91 x 10-3 rad/s. How long will it be before they meet?
41. ### chemistry

600 gallons of 15 M nitric acid were added to a lake. The initial pH of the lake was 5.90 and the final pH was 3.70. What is the volume of the lake?
42. ### Chemistry

320.0 gallons of 15 M nitric acid were added to a lake. The initial pH p the lake was 6.30 and the final pH was 4.60. What is the volume of the lake?
43. ### science.

In powder mills park there is a lake called a kettle lake. describe how this lake was formed.
44. ### math

a company want to lay cable across a lake. to find the lengh of the lake, they madethe measurements 180ft and 150ft. what is the length of the lake?
45. ### Chemistry

A geologist removes a sample of water from a lake in Nevada where the water level has been slowly dropping over time. The sample is found to be 0.02M in borax. The lake is circular in shape and is currently 500 meters in diameter and 50 meters deep. Using the given data ...
46. ### English

1. After breakfast, we went to Mirror Lake. 2. After breakfast, we went to Lake Mirror. 3. That is Lake Ontario. 4. That is Ontario Lake. (Which one is correct? Can we use both expressions? Please check the word order.)
47. ### Math

I need to write the specified ratin as a simplified fraction. A certai lake is 1100 ft deep. A nearby lake is 300 feet deep. Write the ratio of te fist lake's depth to the second lake's depth.
48. ### physics

Two persons start at the same place and walk around a circular lake in opposite directions. One has an angular speed of (1.40 x 10^-3) rad/sec. The other has an angular speed of (3.70 x 10^-3) rad/sec. How long (how much time) will it be before they meet?
49. ### Physics

At a height of 15 meters above the surface of a lake, a sound pulse is generated. The echo from the bottom of the lake returns to the point of origin 0.150 s later. The air and water temperatures are 20°C. How deep is the lake?
50. ### AP Physics

At a height of 5 meters above the surface of a freshwater lake, a sound pulse is generated. The echo from the bottom of the lake returns to the point of origin 0.140 s later. The air and water temperatures are 20°C. How deep is the lake?
51. ### English

1. This summer, what did Hajun do? He went camping with his friend John¡¯s family. 2. Where did they go? They went to Yosemite National Park. 3. What is Yosemite famous for? It is famous for its natural wonders. 4. On July 20, what did they do? They arrived at Yosemite in ...
52. ### chemistry

If the amount of mercury in a polluted lake is 0.40 ug/mL, what is the total mass of mercury in the lake? (The lake has a surface area of 100 mi squared and an average depth of 25 ft).
53. ### math

Water lillies double in area every 24 hour. In spring there is one water lily on a lake. In sixty days, the lake is completely covered with lillies. how many days did it take to cover half the lake
54. ### Physics

Lake Erie contains about 4.8 x 10^17 grams of fresh water. Assume that the lake has frozen solid and that the ice starts off at -3 C. How much energy would the lake need to absorb from the Sun to cause it to evaporate completely?
55. ### Algebra

The number of bass in a lake is given by P(t) = 2800/1 + 6e^−0.05t where t is the number of months that have passed since the lake was stocked with bass. (a) How many bass were in the lake immediately after it was stocked? 400 bass (b) How many bass were in the lake 1 ...
56. ### social

Where is located place: choose a)USA, b)Briton, c) Wales, d)Australia? It was represented a picture.It shows a lake with steps or cascade of steps around this lake with folling water
57. ### physics

A hiker determines the length of a lake by listening for the echo of her shout reflected by a cliff at the far end of the lake. She hears the echo 2.20 s after shouting. How long (in meters) is the lake?
58. ### Biology

Which is one way that a freshwater wetland differs from a lake or pond? A. water flows in a lake or pond but never flows in a wetland. B. Wetlands are nesting areas for birds, but lakes and ponds are not. C. Water does not always cover a wetland as it does a lake or pond. D. ...
59. ### Math

14. There is a rectangular piece of property that measures 188 ft by 100 ft. On the property there is a circular lake with a diameter of 72 ft. In the center of the lake there is a circular island with radius of 12 ft. The rest of the property is land. What percentage of the ...
60. ### Math

14. There is a rectangular piece of property that measures 188 ft by 100 ft. On the property there is a circular lake with a diameter of 72 ft. In the center of the lake there is a circular island with radius of 12 ft. The rest of the property is land. What percentage of the ...
61. ### social studies

what are the five great lakes You can find that at the site below: http://worldatlas.com/webimage/countrys/namerica/greatlk.htm they are lake superior lake michagan lake huron lake eria lake ontario
62. ### math finals

14. There is a rectangular piece of property that measures 188 ft by 100 ft. On the property there is a circular lake with a diameter of 72 ft. In the center of the lake there is a circular island with radius of 12 ft. The rest of the property is land. What percentage of the ...
63. ### Physics

Lake Erie contains about 4.8 x 10^17 grams of fresh water. Assume that the lake has frozen solid and that the ice starts off at -3 C. How much energy would the lake need to absorb from the Sun to cause it to evaporate completely? Each gram of water will require 721.5 calories ...
64. ### MATH

The tip of a plant was 6cm above a lake but a sudden wind forced the plant to move 10 cm fat from its original position and then it submerged into the lake. Find the depth of the lake upto which it was sinking. Please help!!!!!!!!!!
65. ### math

Arnie skates 1 3/4 miles to the lake, then goes 1 1/3 miles around the lake, and then back home. How many miles did he skate?
66. ### math

The number of fishes in a lake is expected to increase at a rate of 8% per year. How many fishes will be in the lake in 5 years if 10,000 fishes are placed in the lake today?
67. ### Physics

Lake Erie contains about 4.8 x 10^17 grams of fresh water. Assume that the lake has frozen solid and that the ice starts off at -3 C. How much energy would the lake need to absorb from the Sun to cause it to evaporate completely? Each gram of water will require 721.5 calories ...
68. ### Physics-is this correct?

Lake Erie contains about 4.8 x 10^17 grams of fresh water. Assume that the lake has frozen solid and that the ice starts off at -3 C. How much energy would the lake need to absorb from the Sun to cause it to evaporate completely? Each gram of water will require 721.5 calories ...
69. ### Physics

Lake Erie contains about 4.8 x 10^17 grams of fresh water. Assume that the lake has frozen solid and that the ice starts off at -3 C. How much energy would the lake need to absorb from the Sun to cause it to evaporate completely? Each gram of water will require 721.5 calories ...
70. ### Engineering Math Growth

I am having trouble figuring out where to start with this one. Biologists stocked a lake with 40 ﬁsh and estimated the carrying capacity (the maximal population for the ﬁsh of that species in that lake) to be 300. (a) Assume that the number of ﬁsh P(t) ...
71. ### Math

Several cows from a Caribou Herd took 4 days longer to travel 70km to Forde Lake, than it took them to travel 60km north beyond forde lake.They averaged 5km/h less before Forde lake because the foraging was better. What was their average speed for the part beyond forde lake?
72. ### math

Lake Huron is 206 miles long. Lake Superior is 350 moles long. Anastasia estimates that Lake Superior is about 140 miles longer than Lake Huron. Is Anastasia estimate reasonable? Explain why or why not.
73. ### physics

Two canoeists start paddling at the same time and head toward a small island in a lake. Canoeist 1 paddles with a speed of 1.40m/s at an angle of 45 degrees north of east. Canoeist 2 starts on the opposite shore of the lake, a distance of 1.5 km due east of canoeist 1. A) In ...
74. ### college algebra

Biologists collected a sample of 600 fish from West Okoboji Lake on May 1 and tagged each of them. When they returned on June 1, a new sample of 800 fish was collected and 10 of these had been previously tagged. Use this experiment to determine the approximate fish population ...
75. ### Grammar and Composition

Please check these: Put parenthesis around the prepositional phrases and CAPITALIZE the prepositions. then list two other prepositions that could be used in the sentences. 1. We walked (TO the park.) -around the park -inside the park 2. I found my pencil (UNDER the chair.) -...
76. ### physics

two canoeists start paddling at the same time and head toward a small island in a lake. caneist 1 paddles with a speed of 1.35 m/s at an angle of 45 degrees north of east. canoeist 2 starts on the opposite shore of the lake,a distance of 1.5 km due east of canoeist 1. what ...
77. ### math

Assume that water lilies double in area every 24 hours. In the spring, there is one water lily on a lake. After thirty days, the lake is completely (100%) covered with water lilies. How many days did it take for lilies to cover 25% of the lake?
78. ### Physics

Lake Erie contains about 4.8 x 10^17 grams of fresh water. Assume that the lake has frozen solid and that the ice starts off at -3 C. How much energy would the lake need to absorb from the Sun to cause it to evaporate completely? Each gram of water will require 721.5 calories ...
79. ### Physics

A 298.0 kg block of ice at 0 C is placed in a large lake. The temperature of the lake is just slightly higher than 0 C, and the ice melts. What is the entropy change of the ice (in kJ/K)? What is the entropy change of the lake (in kJ/K)? What is the entropy change of the "...
80. ### Calculus - HELP URGENT PLEASE

Consider a lake of constant volume 12200 km^3, which at time t contains an amount y(t) tons of pollutant evenly distributed throughout the lake with a concentration y(t)/12200 tons/km^3. assume that fresh water enters the lake at a rate of 67.1 km^3/yr, and that water leaves ...
81. ### Chemistry

The pH of healthy lakes is around 6.0. Due to acid rain, the pH of our lakes & rivers is decreasing. At low pH levels, producers such as phytoplankton cannot thrive. Decreased plankton can cause consumer populations to crash. The end result is a lake devoid of life. If the pH ...
82. ### English

1. The earth goes around the sun. 2. The eatth moves around the sun. 3. The earth goes round the sun. 4. The earth moves round the sun. (Which one do I have to use?) 5. Many boys were sitting around the lake. 6. Many boys were sitting round the lake. (Do I have to use 'round' ...
83. ### Math

Sadiq dropped his watch into a lake. The depth of the lake is 5 meters. Sadiq can dive down towards the bottom of the lake at a speed of 2 meters per second, but can swim upwards at a rate of 1 meter per second. How long will it take Sadiq to get his watch and return to the ...
84. ### English

Which Anology would go best with this one? Pond:lake:: A. man:child B. water:sream C. lake:sea D. dusk:night
85. ### algebra 2

Boiling Lake is a small lake on the island of Dominica. The water temperature of the lake is between 180*F and 197*F. Write a compound inequality for this temperature range. [Graph the inequality.]
86. ### physics

A hiker determines the length of a lake by listening for the echo of her shout reflected by a cliff at the far end of the lake. She hears the echo 1.7 s after shouting. Estimate the length of the lake.
87. ### math

A developer plans to build houses around lake okeebele. Most of his customers want to buy about 100 feet of lakefront. How many lots can the developer build around the lake? scale 100 feet=10,000 square feet
88. ### Math

A developer plans to build houses around lake okeebele. Most of his customers want to buy about 100 feet of lakefront. How many lots can the developer build around the lake? scale 100 feet=10,000 square feet
89. ### chemistry

One way to raise the pH of an acidic lake (and restore aquatic life) is to add limestone (CaCO3). How many grams of CaCO3 are needed to neutralize 1.2kL of the acidic water from the lake if the acid is sulfuric acid? H2SO4(aq)+CaCO3(s)→CO2(g)+H2O(l)+CaSO4(aq)
90. ### PhysicsIn what direction relative to north must ca

Two canoeists start paddling at the same time and head toward a small island in a lake, as shown in the figure . Canoeist 1 paddles with a speed of 1.60 at an angle of 45 north of east. Canoeist 2 starts on the opposite shore of the lake, a distance of 1.5 due east of canoeist...

Isaac stands on the shoreline of a lake and looks to a campground across the lake. He uses a compass to determine that the campground is 60 degrees west of north. He then paddles his canoe north for a distance of 550m. He stops and determines that the campground is now 40 ...
92. ### science

Three equal-sized pans containing distilled (pure water),ocean water (3 percent salt),and water from the Great Salt Lake in Utah (about 20 percent salt)are placed in freezer. Which of the following would be the order in which these three liquids would freeze? 1 distilled water...
93. ### math

to determine the number of trout in a lake, a conservationist catches 111 trout,tags them throws them back into the lake.later 28 throw are caught. 14 of them are tagged. how many trout would be conservationist expect to be in the lake?'
94. ### Math

A circular path around a lake has a diameter of 2,000 feet (ft). Pranotti jogs around the path 5 times for her morning run. How far does she run? Use 3.14 for ƒàƒnand round your answer to the nearest foot
95. ### math

If a bacteria spreads its bacteria in a lake for every minute it gets doubled so that it can fill the lake in 20 min .if two bacteria are there how much will they take to fill the lake
96. ### physics

Lake Champlain, bordered by New York, Vermont, and Quebec, has a surface area of 1,126 km^2. If the energy (173 PJ) is provided by sunlight shining on the lake at an average rate of 200 W/m^2 but with only half that amount absorbed, how long will it take the lake to absorb the...
97. ### Math

there was very little rain in Austin one summer. In june, the depth of lake travis fell 3 inches from its usual level. In july, it went down another 5 inches. in August it finally rained adding 2 inches to the lake depth. How many inches below the usual level was the lake at ...
98. ### Math help plz

To determine the number of fish in a lake , a conservationist catches 500 fish, tags them, and releases them into the lake. Later, 120 fish are caught and 25 of them are tagged. Estimate the number of fish in the lake.
99. ### math

To determine the number of trout in a lake, conservationist catches 161 trout, tags them and throuws them back into the lake. Later, 39 trout are caught: 13 of them are tagged. How many trout would the conservationist expect to be in the lake?
100. ### algebra

to determine the number of trout in a lake, a conservationist cathes 123 trout, tags them and throws them back into the lake. later,44 trout are caught, 11 of them are tagged. how many trout would the conservationist expect to be in the lake