# 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
2. ## 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
3. ## 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
4. ## 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?
5. ## 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
6. ## 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
7. ## 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
8. ## 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
9. ## 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
10. ## 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
11. ## Physics

A boy walks 10 m due west and 10m due south.What is the displacement.[2]a girl walks 12m northwards,5m eastwards and 7m southwards.Calculate her total displacement[3]a man walks 5km south and 3km in the direction 60 degree west of south.Calculate his
12. ## 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
13. ## 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
14. ## Math

You are going hiking in Brown County State Park this weekend and want to plan your route to Lake Monroe. Starting from the parking lot, you plan on hiking 2300 m due west, 17500 m due south, 1900 m due east, and 1200 m due north. What will be the total

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
16. ## 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
17. ## 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
18. ## 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?
19. ## 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.
20. ## 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.
21. ## 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.?
22. ## 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
23. ## 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
24. ## 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
25. ## 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.
26. ## SS/WGeogrophy

which lake does the equator pass through: Lake Victoria,Lake Malawi,or lake Chad?
27. ## Math Help!!!

Russell Grossman 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
28. ## 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
29. ## 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
30. ## Physics

A person walks the path shown below. The total trip consists of four straight-line paths. Path 1 is 30.0 m due east. Path 2 is 200.0 m due south. Path 3 is 140.0 m 30.0° south of west. Path 4 is 170.0 m 60.0° north of west. At the end of the walk, what
31. ## Physics

A person walks the path shown below. The total trip consists of four straight-line paths. Path 1 is 40.0 m due east. Path 2 is 170.0 m due south. Path 3 is 120.0 m 30.0° south of west. Path 4 is 190.0 m 60.0° north of west. At the end of the walk, what
32. ## 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
33. ## 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
34. ## Social Studies

Lake Huron is the northernmost Great Lake False? Lake Ontario is the closest Great lake to ottawa canada True?
35. ## 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
36. ## 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
37. ## 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
38. ## Pre-Calculus

A sailboat in a lake travels 4 km due north and then 4 km due west. From there, the boat travels 5 km due north and 4 km due west. How far is the bboat from the starting point? Express your answer as a mixed radical. (How would I use radicals for this??)
39. ## 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
40. ## 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
41. ## 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.
42. ## 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
43. ## 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
44. ## 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
45. ## 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?
46. ## 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?
47. ## MATHS

A girl start at A and walks 2km south to B. she then walks 3km west to C. find the distance and bearing of C from A
48. ## 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
49. ## 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?
50. ## 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?
51. ## science.

In powder mills park there is a lake called a kettle lake. describe how this lake was formed.
52. ## 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?
53. ## 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
54. ## math

A man walks due west for 4km. He then changes direction and walks on a bearing of 179 until he is south-west of his starting point.How far is he then from his starting point?
55. ## 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.
56. ## 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.
57. ## 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
58. ## 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?
59. ## 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
60. ## physics

A person walks the path shown below. The total trip consists of four straight-line paths. Path 1 is 80.0 m due east. Path 2 is 250.0 m due south. Path 3 is 130.0 m 30.0° south of west. Path 4 is 190.0 m 60.0° north of west. At the end of the walk, what
61. ## 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.
62. ## 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.
63. ## 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?
64. ## 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?
65. ## 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
66. ## 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
67. ## 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
68. ## 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
69. ## 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
70. ## 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
71. ## 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
72. ## 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
73. ## 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).
74. ## Science

Sometimes, when you sit by a lake in a forest, you can see perfect images of the hills and trees in the lake. Other times, when you are sitting beside the same lake, you cannot see any images in the water. Explain the difference between these two
75. ## 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?
76. ## Math: Compass Bearings

two people start walking from the same point. Person A walks due east for 3.5 km and the person B walks in the direction 123 degrees until they are due south of person A. How far did the second person walk?
77. ## geometry

PLEASE HELP WITH A FEW QUESTIONS triangle ABC has side lengths 8, 15, and 17 do the side lengths form a pythagorean triple? the length of the hypotenuse of a 30-60-90 triangle is 7 find perimeter to approach the runway, a pilot of a small plane must begin

I am having trouble figuring out this question: Part 1: A long staight wire carries a current due East. This wire creates, at point #1, a magnetic field that is derected at 40 deg below due South. From point #1, the wire is located: 50 deg below due North
79. ## 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.)
80. ## 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!!!!!!!!!!
81. ## 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
82. ## Chemistry

If the amount of mercury in a polluted lake is 0.4 µg Hg/mL, what is the total mass in kilograms of mercury in the lake? (The lake has a surface area of 100mi^2 and an average depth of 20 ft.) I'll probably be able to solve this once I know what it's
83. ## 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,
84. ## science- geology

I have to draw a topographical map on poster board of an imaginary island. It must have 2 mountains, 12 MI apart, one with a benchmark of 1510 ft and the other of 1075 ft. We must include 2 streams, one that flows down the larger lake into the ocean, the
85. ## Calculus

Two lovers have a spat and swear they will never see each other again. The girl walks due south at 6 mph while the boy walks at 10 mph on a heading of North 60 degrees West. How fast is the distance between them changing 30 minutes later?
86. ## Calculus

Two lovers have a spat and swear they will never see each other again. The girl walks due south at 6 mph while the boy walks at 10 mph on a heading of North 60 degrees West. How fast is the distance between them changing 30 minutes later?
87. ## 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?
88. ## Algebra

Bear Lake is 6 miles wide. The total time it took Jane to kayak back and forth across the lake was 2 hours. Her rate kayaking back was 3 times her rate going out across the lake. What was Jane's rate kayaking out across the lake?
89. ## 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
90. ## 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.
91. ## math

tow people begin walking from the same point at the same time. One walks due south at 3 mph and the other walks southeast at 4 mph. Approximately how far apart are the two after one hour walking?
92. ## 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
93. ## geography

1. What country is due south of Egypt? Sudan 2. Is Phnom Penh or Hanoi the capital of Vietnam? Hanoi 3. Besides the Soviet Union, what other country borders the world's largest lake? Iran 4. What river runs west to east across the northern part of Italy?
94. ## 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.]
95. ## 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.
96. ## American government

Suppose you want to take a scientific poll about people's opinions on a new boating law for Lake Blue. Wjo should make up your universe-all people in the United States, only townspeople, only boat owners, only people who live on the lake, anyone who uses
97. ## physics

The captain of a plane wishes to proceed due west. The cruising speed of the plane is 226 m/s relative to the air. A weather report indicates that a 32.0-m/s wind is blowing from the south to the north. In what direction, measured with respect to due west,
98. ## Physics

The captain of a plane wishes to proceed due west. The cruising speed of the plane is 255 m/s relative to the air. A weather report indicates that a 39.0-m/s wind is blowing from the south to the north. In what direction, measured with respect to due west,
99. ## Phys 2

I am having trouble figuring out this question: Part 1: A long staight wire carries a current due East. This wire creates, at point #1, a magnetic field that is derected at 40 deg below due South. From point #1, the wire is located: 50 deg below due North
100. ## Physics

I am having trouble figuring out this question: Part 1: A long staight wire carries a current due East. This wire creates, at point #1, a magnetic field that is derected at 40 deg below due South. From point #1, the wire is located: 50 deg below due North