Area of rectangle = LxW = 13x7 = 91
Area of triangle = bxh/2 = 7x7/2= 24.5
Total area= 91+24.5= 115.5 in^2
Using vector concepts, it is found that:
The component form is of approximately (-9.58, 7,22). It means that the ship is about 9.58 miles to the west and about 7.22 miles to the north of where the ship left the port.
<h3>How can a vector be represented in component notation?</h3>
Given a magnitude M and angle
, then a vector V can be represented as follows in component notation:
![V = (M\cos{\theta}, M\sin{\theta})](https://tex.z-dn.net/?f=V%20%3D%20%28M%5Ccos%7B%5Ctheta%7D%2C%20M%5Csin%7B%5Ctheta%7D%29)
In this problem, the magnitude and the angle are given, respectively, by:
![M = 12, \theta = 143^\circ](https://tex.z-dn.net/?f=M%20%3D%2012%2C%20%5Ctheta%20%3D%20143%5E%5Ccirc)
Hence:
V = [12cos(143º), 12sin(143º)] = (-9.58, 7,22).
Which means a displacement of 9.58 miles to the west(negative x = west) and 7.22 miles to the north(positive y = north).
The component form is of approximately (-9.58, 7,22). It means that the ship is about 9.58 miles to the west and about 7.22 miles to the north of where the ship left the port.
More can be learned about vectors at brainly.com/question/24606590
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Answer:
x = 3
Step-by-step explanation:
cambia los signos : x - 2x-1=8-3x-3
like terms : -x-1=5-3x
variable: -x+3x=5+1 --> 2x=6
dividir: x=3
<h3>
Answer: 139.5</h3>
Work Shown:
cos(angle) = adjacent/hypotenuse
cos(55) = 80/x
x*cos(55) = 80
x = 80/cos(55)
x = 139.4757 approximately
x = 139.5
Answer: 5.37 as a mixed number is 5 37/100
To write a decimal number as a mixed number, you must separate the whole part of the decimal part:
5.37 = 5 + 0.37 = 5 0.37
And express the decimal part as a fraction:
0.37=37/100
Then:
Answer: 5.37 as a mixed number is 5 37/100