a. To find: The coordinate system a dilation center at the origin and scale factor r > 0 is given by ( x , y ) → ( r x , r y ) .

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Answer 1

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System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.

Chapter 14.3A, Problem 8A

To determine

a.

To find:

The coordinate system a dilation center at the origin and scale factor r>0 is given by (x,y)→(rx,ry).

To determine

b.

To find:

The dilation and the isometry for the transformation (x,y)→(2−x,2−y).

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A: Tan Latitude / Tan P A = Tan 04° 30'/ Tan 77° 50.3' A= 0.016960 803 S CA named opposite to latitude, except when hour angle between 090° and 270°) B: Tan Declination | Sin P B Tan 052° 42.1'/ Sin 77° 50.3' B = 1.34 2905601 SCB is alway named same as declination) C = A + B = 1.35 9866404 S CC correction, A+/- B: if A and B have same name - add, If different name- subtract) = Tan Azimuth 1/Ccx cos Latitude) Tan Azimuth = 0.737640253 Azimuth = S 36.4° E CAzimuth takes combined name of C correction and Hour Angle - If LHA is between 0° and 180°, it is named "west", if LHA is between 180° and 360° it is named "east" True Azimuth= 143.6° Compass Azimuth = 145.0° Compass Error = 1.4° West Variation 4.0 East Deviation: 5.4 West

Direction: Strictly write in 4 bond paper, because my activity sheet is have 4 spaces. This is actually for maritime. industry course, but I think geometry can do this. use nautical almanac. Sample Calculation (Amplitude- Sun): On 07th May 2006 at Sunset, a vesel in position 10°00'N 0 10°00' W observed the sun bearing 288° by compass. Find the compass error. LMT Sunset 07d 18h 13m (+)00d 00h 40 м LIT: UTC Sunset: 07d 18h 53 m added - since longitude is westerly Declination Co7d 18h): N016° 55.5' d(0.7): (+) 00-6 N016 56.1' Declination Sun: Sin Amplitude Sin Declination (Los Latitude - Sin 016° 56.1'/Cos 10°00' = 0.295780189 Amplitude = WI. 2N (The prefix of amplitude is named easterly if body is rising. and westerly of body is setting. The suffix is named came as declination.) True Bearing: 287.20 Compass Bearing 288.0° Compass Error: 0.8' West

Answer 2

Question

System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.

Chapter 14.3A, Problem 8A

To determine

a.

To find:

The coordinate system a dilation center at the origin and scale factor r>0 is given by (x,y)→(rx,ry).

To determine

b.

To find:

The dilation and the isometry for the transformation (x,y)→(2−x,2−y).

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 3

Question

System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.

Chapter 14.3A, Problem 8A

To determine

a.

To find:

The coordinate system a dilation center at the origin and scale factor r>0 is given by (x,y)→(rx,ry).

To determine

b.

To find:

The dilation and the isometry for the transformation (x,y)→(2−x,2−y).

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 4

Question

System that uses coordinates to uniquely determine the position of points. The most common coordinate system is the Cartesian system, where points are given by distance along a horizontal x-axis and vertical y-axis from the origin. A polar coordinate system locates a point by its direction relative to a reference direction and its distance from a given point. In three dimensions, it leads to cylindrical and spherical coordinates.

Chapter 14.3A, Problem 8A

To determine

a.

To find:

The coordinate system a dilation center at the origin and scale factor r>0 is given by (x,y)→(rx,ry).

To determine

b.

To find:

The dilation and the isometry for the transformation (x,y)→(2−x,2−y).

Expert Solution & Answer

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Check out a sample textbook solution

See solution

Answer 5

Chapter 14.3A, Problem 8A

To determine

a.

To find:

The coordinate system a dilation center at the origin and scale factor r>0 is given by (x,y)→(rx,ry).

To determine

b.

To find:

The dilation and the isometry for the transformation (x,y)→(2−x,2−y).

Answer 6

Chapter 14.3A, Problem 8A

To determine

a.

To find:

The coordinate system a dilation center at the origin and scale factor r>0 is given by (x,y)→(rx,ry).

Answer 7

Chapter 14.3A, Problem 8A

To determine

a.

To find:

The coordinate system a dilation center at the origin and scale factor r>0 is given by (x,y)→(rx,ry).

Answer 8

To determine

b.

To find:

The dilation and the isometry for the transformation (x,y)→(2−x,2−y).

Answer 9

To determine

b.

To find:

The dilation and the isometry for the transformation (x,y)→(2−x,2−y).

Answer 10

Expert Solution & Answer

Answer 11

Expert Solution & Answer

Answer 12

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Answer 13

Ch. 14.1 - Prob. 1MC Ch. 14.1 - Prob. 3MC Ch. 14.1 - Prob. 5MC Ch. 14.1 - Prob. 6MC Ch. 14.1 - Prob. 7MC Ch. 14.1 - A drawing of a cube, shown in the following...Ch. 14.1 - Wall stenciling has been used to obtain an effect...Ch. 14.1 - Prob. 10MC Ch. 14.1 - The following figure is a partial tessellation of...Ch. 14.1 - Prob. 12MC

a. To find: The coordinate system a dilation center at the origin and scale factor r &gt; 0 is given by ( x , y ) → ( r x , r y ) .

a. To find: The coordinate system a dilation center at the origin and scale factor r>0 is given by (x,y)→(rx,ry).

b. To find: The dilation and the isometry for the transformation (x,y)→(2−x,2−y).

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Chapter 14 Solutions

a. To find: The coordinate system a dilation center at the origin and scale factor r > 0 is given by ( x , y ) → ( r x , r y ) .

a.

To find:

The coordinate system a dilation center at the origin and scale factor r>0 is given by (x,y)→(rx,ry).

b.

To find:

The dilation and the isometry for the transformation (x,y)→(2−x,2−y).