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Rufina [12.5K]
3 years ago
15

I need a step-by-step process of how to solve this I know the answer but I need to know exactly how to solve these kinds of ques

tions so I know how to do it for a test:
A large ship is being towed by two tugs. The larger tug exerts a force which is 25 percent greater than the smaller tug, and at an angle of 30 degrees south of west.
Which direction must the smaller tug pull to ensure that the ship travels due west?
Mathematics
1 answer:
IgorLugansk [536]3 years ago
6 0
So what we know from that is that angle is 30 degrees south of west. so you go 30 degrees down from west. How can we do this? well <span>basically what you have to do is to break down the force into x and y component. The y component of large force and the y component of small force should cancel so that the boat doesn't go north and south and the x components of both the forces should add up so that it goes west only.</span>
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Number of Packets
Alex

Answer:

13. D = 18

14. S = (x, y + 6)

Step-by-step explanation:

13.

Given

M = (-8,2)

S = (10,2)

Required

Determine the distance between M and S

Distance (D) is calculated using:

D = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}

Where

(x_1,y_1) = (-8,2)

(x_2,y_2) = (10,2)

D = \sqrt{(x_2 - x_1)^2+(y_2 - y_1)^2}

D = \sqrt{(10 - (-8))^2 + (2 - 2)^2}

D = \sqrt{(10 +8)^2 + 0^2}

D = \sqrt{18^2 + 0}

D = \sqrt{18^2}

D = 18

<em>Hence, the distance between M and S is 18 units</em>

<em></em>

14.

The coordinate of S and P are not given,

So, I'll just use (x,y) for P

i.e.

P=(x,y)

Required

Determine the coordinates of S

If S is 6 units above P, then the coordinates of S is

S = (x, y + 6)

<em>i.e. we add the units to the y coordinate of P.</em>

8 0
3 years ago
Mattie Evans drove 180 miles in the same amount of time that it took a turbopropeller plane to travel 630 miles. The speed of th
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Answer:

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Step-by-step explanation:

3 0
3 years ago
A graduated cylinder is filled with 36\pi36π36, pi cm^3 3 start superscript, 3, end superscript of liquid. The liquid is poured
lilavasa [31]
By definition, the volume of a cylinder is given by:
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 Where,
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 Substituting values:
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The height of the liquid will be in the new cylinder about:
 
h = 4 cm
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3 years ago
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lions [1.4K]

Answer:

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3 0
3 years ago
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