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Use the Pythagorean theorem to answer this question. Becca paddles a boat from the south bank of a stream to the north bank. She paddles at a rate of 8 mph. The stream is flowing west at a rate of 6 mph. What is Becca’s actual velocity?

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Since a stream of water is perpendicular to the movement
of Becca, her boat must have been moving going at an angle of north east. Using
the Pythagorean formula, we can calculate for the resultant velocity, c.

c^2 = (8 mph)^2 + (6 mph)^2

c^2 = 64 + 36

c^2 = 100

c =
10 mph

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Eric drove his fishing boat into a large cove and dropped the anchor in 52 feet of water the anchor descends at a constant rate of 3.8 feet per second, how long will it take for the anchor to hit the bottom of the lake? Round your answer to the nearest tenth If of a second if necessary.

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Eric drove his fishing boat into a large cove and dropped the anchor in 52 feet of water the anchor descends at a constant rate of 3.8 feet per second, how long will it take for the anchor to hit the bottom of the lake? Round your answer to the nearest tenth If of a second if necessary.

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Suppose you are operating a boat 28 feet long on federal waters. what must you display in a prominent location?

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Suppose you are operating a boat 28 feet long on federal waters. what must you display in a prominent location?

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Suppose you have a 19-foot boat. what information will be shown on your boat’s capacity plate?

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If your possible answers are maximum weight and/or number of people the boat can carry safely
maximum gallons of fuel the boat can carry
minimum weight of people and/or gear needed for stability
minimum load capacity of a trailer for this boat

Then the correct answer is

maximum weight and/or number of people the boat can carry safely

Maximum gallons of fuel is decided based on your tank size, while a minimum load is not as important. It’s mostly about how much weight can it carry, regardless of the form of the weight, either in people, cargo, or combined.

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What should you do to reduce the risk of capsizing or swamping your boat in rough water?

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What should you do to reduce the risk of capsizing or swamping your boat in rough water?

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What should you keep in mind when selecting a ball hitch and coupler for towing your boat?

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Answer:

Velocity of plane = 30.93 m/s

Explanation:

Considering vertical motion of ball

    Initial velocity, u =  0 m/s

   Acceleration , a = 9.81 m/s²

   Displacement, s = 195 m

   We have equation of motion s= ut + 0.5 at²

   Substituting

       s= ut + 0.5 at²

       195 = 0 x t + 0.5 x 9.81 x t²

        t = 6.31 seconds

Now considering horizontal motion of ball

   Acceleration , a = 0 m/s²

   Displacement, s = 195 m

   Time, t = 6.31 s

   We have equation of motion s= ut + 0.5 at²

   Substituting

       s= ut + 0.5 at²

       195 = u x 6.31 + 0.5 x 0 x 6.31²

        u = 30.93 m/s

Velocity of plane is horizontal initial speed of ball = 30.93 m/s

Velocity of plane = 30.93 m/s

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Which concrete detail is most relevant to Frederick Douglass’s autobiography? A. The Great House had five bedrooms and two kitchens — one inside and one outside. B. The pants Master Daniel wore most were were light gray. C. The mush was put into a large wooden tray, or trough, and set down upon the ground. D. The man who helped us ashore said we were the fifth boat to land on Smith’s Wharf that day.

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Since a tiny tender child of four,
There’s nothing that I dreamt of more,
Than to jump aboard a great big ship,
A telescope, a map, a sword, by my hip,
To feel the sea breeze in my hair,
To stroke my parrot on the wood chair,
To be bold and brave and happy as can be,
To trek and travel and sail the seven seas.

8 lines. Rhyme scheme aabbccdd. If I managed to write that in about 4 minutes, you could write something much better and longer in like 30 minutes. You can use my rubbish poem as inspiration lol. Good luck X

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A boat takes off from the dock at 2.5 m/s and speeds up at 4.2 m/s2 for 6.0 s. How far has the boat traveled? Round your answer to the nearest whole number.

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The gravitational force Fg between two objects is given by the equation:

Fg=(G*m₁*m₂)/r₂, where G=6.67*10^-11 m³ kg⁻¹ s⁻² is the gravitational constant, m₁ and m₂ are the masses of the two bodies and r is the distance between those bodies. 

Due to the gravitational attraction the pencil and the eraser will attract if we there is no friction on the surface. 

m₁=10 g=0.01 kg is the mass of the pencil
m₂=20 g=0.02 kg is the mass of the eraser
r=2.5 cm = 0.025 m

First we calculate the Fg:

Fg={(6.67*10^-11)*0.01*0.02}/(0.025²)=2.1344*10^-11 N

To get the velocity v of the pencil:

v²=2as, where a is the acceleration of the pencil and s is the path. In our case s=r so we can write:

v²=2ar

a=Fg/m₁= 2.133*10^-9 m/s²

v²=2*(2.133*10^-9)*0.025=1.0665*10^-10

v=√(1.0665*10^-10)=1.0327*10^-5 m/s

We have the velocity and the acceleration, so we can calculate the time t with the equation:

t=v/a=(1.0327*10^-5)/(2.133*10^-9)=4841.6 s

1 hour has 3600 s so when we divide time t in seconds by 3600 we get time T in hours:

T=t/3600=4841.6/3600=1.3449 h. 

So the time for the pencil and eraser to touch is T=1.3449 hours. 

Also time T can be expressed like T= 1h and 20 mins and 41.64 s

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A boat moves 60 kilometers east from point A to point B. There, it reverses direction and travels another 45 kilometers toward point A. What are the total distance and total displacement of the boat?

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The gravitational force Fg between two objects is given by the equation:

Fg=(G*m₁*m₂)/r₂, where G=6.67*10^-11 m³ kg⁻¹ s⁻² is the gravitational constant, m₁ and m₂ are the masses of the two bodies and r is the distance between those bodies. 

Due to the gravitational attraction the pencil and the eraser will attract if we there is no friction on the surface. 

m₁=10 g=0.01 kg is the mass of the pencil
m₂=20 g=0.02 kg is the mass of the eraser
r=2.5 cm = 0.025 m

First we calculate the Fg:

Fg={(6.67*10^-11)*0.01*0.02}/(0.025²)=2.1344*10^-11 N

To get the velocity v of the pencil:

v²=2as, where a is the acceleration of the pencil and s is the path. In our case s=r so we can write:

v²=2ar

a=Fg/m₁= 2.133*10^-9 m/s²

v²=2*(2.133*10^-9)*0.025=1.0665*10^-10

v=√(1.0665*10^-10)=1.0327*10^-5 m/s

We have the velocity and the acceleration, so we can calculate the time t with the equation:

t=v/a=(1.0327*10^-5)/(2.133*10^-9)=4841.6 s

1 hour has 3600 s so when we divide time t in seconds by 3600 we get time T in hours:

T=t/3600=4841.6/3600=1.3449 h. 

So the time for the pencil and eraser to touch is T=1.3449 hours. 

Also time T can be expressed like T= 1h and 20 mins and 41.64 s

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Where is the best place to store a fire extinguisher on a boat?

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Where is the best place to store a fire extinguisher on a boat?

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Where is the best place to store a fire extinguisher on a boat?

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The gravitational force Fg between two objects is given by the equation:

Fg=(G*m₁*m₂)/r₂, where G=6.67*10^-11 m³ kg⁻¹ s⁻² is the gravitational constant, m₁ and m₂ are the masses of the two bodies and r is the distance between those bodies. 

Due to the gravitational attraction the pencil and the eraser will attract if we there is no friction on the surface. 

m₁=10 g=0.01 kg is the mass of the pencil
m₂=20 g=0.02 kg is the mass of the eraser
r=2.5 cm = 0.025 m

First we calculate the Fg:

Fg={(6.67*10^-11)*0.01*0.02}/(0.025²)=2.1344*10^-11 N

To get the velocity v of the pencil:

v²=2as, where a is the acceleration of the pencil and s is the path. In our case s=r so we can write:

v²=2ar

a=Fg/m₁= 2.133*10^-9 m/s²

v²=2*(2.133*10^-9)*0.025=1.0665*10^-10

v=√(1.0665*10^-10)=1.0327*10^-5 m/s

We have the velocity and the acceleration, so we can calculate the time t with the equation:

t=v/a=(1.0327*10^-5)/(2.133*10^-9)=4841.6 s

1 hour has 3600 s so when we divide time t in seconds by 3600 we get time T in hours:

T=t/3600=4841.6/3600=1.3449 h. 

So the time for the pencil and eraser to touch is T=1.3449 hours. 

Also time T can be expressed like T= 1h and 20 mins and 41.64 s

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A boat takes off from the dock at 2.5 m/s and speeds up at 4.2 m/s2 for 6.0 s. How far is the boat traveled?

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A boat takes off from the dock at 2.5 m/s and speeds up at 4.2 m/s2 for 6.0 s. How far is the boat traveled?

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How should a ski boat operator approach a skier who has fallen?

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Her approach to a parent-child interaction most clearly aligns with “Carl Rogers”.

Carl Rogers was an American psychologist known for his persuasive psychotherapy technique known as client-centered therapy. Rogers was one of the establishing figures of humanistic brain research and generally viewed as a standout among the most famous masterminds in brain science. In one overview of expert analysts, Rogers was positioned as the 6th most famous clinician of the twentieth century.  

With his accentuation on human potential, Carl Rogers had a tremendous effect on both brain research and training. Past that, he is considered by numerous individuals to be a standout among the most persuasive clinicians of the twentieth century. More therapists refer to Rogers as their essential impact than some other psychologist.

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Ep-40 if you run aground in an outboard boat and you are not taking on water, what is the first step in attempting to free your vessel?

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The gravitational force Fg between two objects is given by the equation:

Fg=(G*m₁*m₂)/r₂, where G=6.67*10^-11 m³ kg⁻¹ s⁻² is the gravitational constant, m₁ and m₂ are the masses of the two bodies and r is the distance between those bodies. 

Due to the gravitational attraction the pencil and the eraser will attract if we there is no friction on the surface. 

m₁=10 g=0.01 kg is the mass of the pencil
m₂=20 g=0.02 kg is the mass of the eraser
r=2.5 cm = 0.025 m

First we calculate the Fg:

Fg={(6.67*10^-11)*0.01*0.02}/(0.025²)=2.1344*10^-11 N

To get the velocity v of the pencil:

v²=2as, where a is the acceleration of the pencil and s is the path. In our case s=r so we can write:

v²=2ar

a=Fg/m₁= 2.133*10^-9 m/s²

v²=2*(2.133*10^-9)*0.025=1.0665*10^-10

v=√(1.0665*10^-10)=1.0327*10^-5 m/s

We have the velocity and the acceleration, so we can calculate the time t with the equation:

t=v/a=(1.0327*10^-5)/(2.133*10^-9)=4841.6 s

1 hour has 3600 s so when we divide time t in seconds by 3600 we get time T in hours:

T=t/3600=4841.6/3600=1.3449 h. 

So the time for the pencil and eraser to touch is T=1.3449 hours. 

Also time T can be expressed like T= 1h and 20 mins and 41.64 s

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Ep-35 if your inboard/outboard boat runs aground, what action should you take in addition to shifting the weight away from the point of impact

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Ep-35 if your inboard/outboard boat runs aground, what action should you take in addition to shifting the weight away from the point of impact

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You are retrieving your boat from the water. as a courtesy to others, when should you pull your boat into a launch lane?

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Answer:

1) Water has very high specific heat.

2) It expands when it freezes

3) ability to dissolve in ionic substances

4) Water molecules at the surface experience fewer hydrogen bonds than water molecules within the liquid.

Explanation:

1) Water molecules due to their high specific heat , undergo relatively less increase in temperature after absorbing heat. So they prevent their adjoining area to experience sharp increase in temperature.

2) Water is an example which expands on freezing. In it , large spaces are left between molecules when it cools. It happens because hydrogen bonds prevent any two molecules to come very close thereby  creating gaps. This gap is filled up when ice melts , which results in overall reduction in volume of water.

3) Uneven distribution of charge results in water molecules becoming polar in nature . A polar substance  can be dissolved in polar solvents only.

4) It is due to property of surface tension. Property  of surface tension results due to molecules of water near the surface experiencing a  net downward  force due to hydrogen bonds . It is due to fewer hydrogen bonds made by them.

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A tour boat operator wants to know the average age of all the people in her tour group. She randomly selects 8 people in the group and asks them for their ages. Their responses are 19, 27, 25, 21, 44, 22, 45, and 34. What is the best estimate of the average age of all the people in the tour group? Round to the nearest whole number.

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You need to determine the number of ways in which 30 competitors from 50 can qualify. First, you have to realize that the order is irrelevant, that is: it is the same competitor_1, competitor _2, competitor _3 than competitor_3, competitor_2, competitor_1, or any combination of those three competitors.

So, the number of ways is which 30 competitors from 50 can qualify is given by the formula of combinations, which is:

C (m,n) = m! / (n! * (m -n)! )

=> C (50,30) = 50! / (30! (50 – 30)! ) = (50!) / [30! (50 – 30)!] = 50! / [30! 20!] =

 = 47,129,212,243,960 different ways the qualifiying round of 30 competitors can be selected from the 50 competitors.

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Which of the following would change a boat's center of gravity? A. Change the material it is made from B. Put a small cabin directly over the current center of gravity C. Add two small anchors on the outside middle of the boat, one on starboard (right), one on port (left) D. Lengthen the mast (the large pole that holds the sail), which is located on the back of the boat

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Which of the following would change a boat’s center of gravity? A. Change the material it is made from B. Put a small cabin directly over the current center of gravity C. Add two small anchors on the outside middle of the boat, one on starboard (right), one on port (left) D. Lengthen the mast (the large pole that holds the sail), which is located on the back of the boat

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If you carry passengers in your boat, you should have a safety discussion before departing. which of these topics should be included in the discussion?

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Generally, you should address two topics: safely in  a normal situation and emergency safety.

First, you should tell them how to behave on the boat, for example what kind of behaviour could lead the boat to capsize and that they shouldn’t drink alcohol.

Second, you should inform them what to do in the case of an emergency. For example, you can tell them where the live vests are and how to attract attention while in water (with a whistle attached to the live vest).

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A skier is being towed behind a boat. Who has responsibility for avoiding other boats and hazards?

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A skier is being towed behind a boat. Who has responsibility for avoiding other boats and hazards?

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From a boat on the lake, the angle of elevation to the top of a cliff is 26°1′. If the base of the cliff is 205 feet from the boat, how high is the cliff (to the nearest foot)?

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The basis to respond this question are:

1) Perpedicular lines form a 90° angle between them.

2) The product of the slopes of two any perpendicular lines is – 1.

So, from that basic knowledge you can analyze each option:

a.Lines s and t have slopes that are opposite reciprocals.

TRUE. Tha comes the number 2 basic condition for the perpendicular lines.

slope_1 * slope_2 = – 1 => slope_1 = – 1 / slope_2, which is what opposite reciprocals means.

b.Lines s and t have the same slope.

FALSE. We have already stated the the slopes are opposite reciprocals.

c.The product of the slopes of s and t is equal to -1

TRUE: that is one of the basic statements that you need to know and handle.

d.The lines have the same steepness.

FALSE: the slope is a measure of steepness, so they have different steepness.

e.The lines have different y intercepts.

FALSE: the y intercepts may be equal or different. For example y = x + 2 and y = -x + 2 are perpendicular and both have the same y intercept, 2.

f.The lines never intersect.

FALSE: perpendicular lines always intersept (in a 90° angle).

g.The intersection of s and t forms right angle.

TRUE: right angle = 90°.

h.If the slope of s is 6, the slope of t is -6

FALSE. – 6 is not the opposite reciprocal of 6. The opposite reciprocal of 6 is – 1/6.

So, the right choices are a, c and g.

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A boat is towing two skiers at the same time. how long should the tow lines be?

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A boat is towing two skiers at the same time. how long should the tow lines be?

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A man weighs 78 kg and his two sons weighing 45 kg each were stranded on a river crossing. All they had to cross the river was a small boat, but it could only hold 90 kg. How did the man and his sons cross the river?

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Recall your d = rt, distance = rate * time

let’s say the boat’s rate is “b” in still water, and the current’s rate is “c”

as the boat goes upstream, is not really going “b” fast, the water is not still anyway, is going much slower, is going ” b – c “, because the current’s rate is eroding speed because is going against the current.

as the boat goes downstream, is not going “b” fast either, is going faster, is going ” b + c ” fast, because is going downstream and thus with the current and the current is adding speed to it.  notice, it takes longer going up, 5hrs, then coming down, 3hrs, same 150 on each way.

bf begin{array}{llll}
&distance&rate&time\
&-----&-----&-----\
upstream&150&b-r&5\
downstream&150&b+r&3
end{array}
\\\

begin{cases}
150=(b-r)5\
qquad frac{150}{5}=b-r\
qquad 30=b-r\
qquad 30+r=boxed{b}\
150=(b+r)3\
qquad frac{150}{3}=b+r\
qquad 50=b+r\
qquad 50=boxed{30+r}+r
end{cases}

solve for “r”

what’s the boat’s rate? well, 30+r = b

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Read the paragraph. Venice was an interesting destination. You have to travel by boat. We toured a chandelier factory. The colored glass was incredible. We enjoyed the artwork in the museums. The museums were crowded with tourists. What is one important way to improve this paragraph? a,Place the last sentence first. b.Add a topic sentence. c.The paragraph should be shorter. d.Add sentence variety.

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Answer:

The tree of great peace represents the Iroquois unity.

Explanation:

The constitution details how any official proceeding has to be done,  how meetings of the confederacy will be conducted, laws regulating the immigration process or various rights. This constitution has been considered to precede the United States Constitution. It was originally passed orally with no written records. And it’s original groups are five different tribes of the confederacy namely the Mohawk, Onondaga, Seneca, Oneida, and Cayuga tribes.

According to the Iroquois constitution, paragraph three of the constitution shows or highlights the unity of the Iroquois people/ community, which is represented by the Tree of the Great Peace. Paragraph three basically details the procedural steps for any meeting, and the importance of the Tree of Great Peace that the Iroquois people attribute it to be.

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The velocity of a boat with respect to the shore is 2 meters/second. The velocity of the water with respect to the shore is 1 meter/second. What is the distance traveled by boat after 3 minutes if the boat is traveling in the opposite direction of the water? (Hint: Find the velocity of the boat relative to the water and then use the equation distance = speed × time)

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Answer:

A. a parabola with the vertex at (0,0) and a negative value for a

Explanation:

The path of an object thrown with a horizontal velocity from a certain heigth is the path of a projectile, and it is a parabolic path. It is the resultant of two independent motions:

– a horizontal uniform motion, with constant horizontal velocity

– a vertical accelerated motion, with constant acceleration (equal to the gravitational aceleration) towards the ground

Due to the fact that conventionally the positive direction of the vertical axis is taken as upward, the acceleration of the vertical motion is directed downward, so toward negative direction, so the value of a (acceleration) is negative.

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