mrs. rivas mid-chapter check point pg. 685-686 # 1-32 all
TRANSCRIPT
![Page 1: Mrs. Rivas Mid-Chapter Check Point Pg. 685-686 # 1-32 All](https://reader038.vdocument.in/reader038/viewer/2022102906/56649cf65503460f949c5900/html5/thumbnails/1.jpg)
Mrs. RivasHomework
Mid-Chapter Check PointPg. 685-686 # 1-32 All
![Page 2: Mrs. Rivas Mid-Chapter Check Point Pg. 685-686 # 1-32 All](https://reader038.vdocument.in/reader038/viewer/2022102906/56649cf65503460f949c5900/html5/thumbnails/2.jpg)
Mrs. Rivas
In Exercises 1–6, solve each triangle. Round lengths to the nearest tenth and angle measures to the nearest degree. If no triangle exists, state “no triangle.” If two triangles exist, solve each triangle.
Homework
![Page 3: Mrs. Rivas Mid-Chapter Check Point Pg. 685-686 # 1-32 All](https://reader038.vdocument.in/reader038/viewer/2022102906/56649cf65503460f949c5900/html5/thumbnails/3.jpg)
Mrs. Rivas
In Exercises 1–6, solve each triangle. Round lengths to the nearest tenth and angle measures to the nearest degree. If no triangle exists, state “no triangle.” If two triangles exist, solve each triangle.
Homework
![Page 4: Mrs. Rivas Mid-Chapter Check Point Pg. 685-686 # 1-32 All](https://reader038.vdocument.in/reader038/viewer/2022102906/56649cf65503460f949c5900/html5/thumbnails/4.jpg)
Mrs. Rivas
In Exercises 1–6, solve each triangle. Round lengths to the nearest tenth and angle measures to the nearest degree. If no triangle exists, state “no triangle.” If two triangles exist, solve each triangle.
Homework
![Page 5: Mrs. Rivas Mid-Chapter Check Point Pg. 685-686 # 1-32 All](https://reader038.vdocument.in/reader038/viewer/2022102906/56649cf65503460f949c5900/html5/thumbnails/5.jpg)
Mrs. Rivas
In Exercises 1–6, solve each triangle. Round lengths to the nearest tenth and angle measures to the nearest degree. If no triangle exists, state “no triangle.” If two triangles exist, solve each triangle.
Homework
![Page 6: Mrs. Rivas Mid-Chapter Check Point Pg. 685-686 # 1-32 All](https://reader038.vdocument.in/reader038/viewer/2022102906/56649cf65503460f949c5900/html5/thumbnails/6.jpg)
Mrs. Rivas
In Exercises 1–6, solve each triangle. Round lengths to the nearest tenth and angle measures to the nearest degree. If no triangle exists, state “no triangle.” If two triangles exist, solve each triangle.
Homework
![Page 7: Mrs. Rivas Mid-Chapter Check Point Pg. 685-686 # 1-32 All](https://reader038.vdocument.in/reader038/viewer/2022102906/56649cf65503460f949c5900/html5/thumbnails/7.jpg)
Mrs. Rivas
In Exercises 1–6, solve each triangle. Round lengths to the nearest tenth and angle measures to the nearest degree. If no triangle exists, state “no triangle.” If two triangles exist, solve each triangle.
Homework
![Page 8: Mrs. Rivas Mid-Chapter Check Point Pg. 685-686 # 1-32 All](https://reader038.vdocument.in/reader038/viewer/2022102906/56649cf65503460f949c5900/html5/thumbnails/8.jpg)
Mrs. Rivas
In Exercises 7–8, find the area of the triangle having the given measurements. Round to the nearest square unit.
Homework
![Page 9: Mrs. Rivas Mid-Chapter Check Point Pg. 685-686 # 1-32 All](https://reader038.vdocument.in/reader038/viewer/2022102906/56649cf65503460f949c5900/html5/thumbnails/9.jpg)
Mrs. Rivas
In Exercises 7–8, find the area of the triangle having the given measurements. Round to the nearest square unit.
Homework
![Page 10: Mrs. Rivas Mid-Chapter Check Point Pg. 685-686 # 1-32 All](https://reader038.vdocument.in/reader038/viewer/2022102906/56649cf65503460f949c5900/html5/thumbnails/10.jpg)
Mrs. RivasHomework
9. Two trains leave a station on different tracks that make an angle of 110° with the station as vertex. The first train travels at an average rate of 50 miles per hour and the second train travels at an average rate of 40 miles per hour. How far apart, to the nearest tenth of a mile, are the trains after 2 hours?
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Mrs. RivasHomework
10. Two fire-lookout stations are 16 miles apart, with station B directly east of station A. Both stations spot a fire on a mountain to the south. The bearing from station A to the fire is S56°E. The bearing from station B to the fire is S23°W. How far, to the nearest tenth of a mile, is the fire from station A?
![Page 12: Mrs. Rivas Mid-Chapter Check Point Pg. 685-686 # 1-32 All](https://reader038.vdocument.in/reader038/viewer/2022102906/56649cf65503460f949c5900/html5/thumbnails/12.jpg)
Mrs. RivasHomework
11. A tree that is perpendicular to the ground sits on a straight line between two people located 420 feet apart. The angles of elevation from each person to the top of the tree measure 50° and 66°, respectively. How tall, to the nearest tenth of a foot, is the tree?
![Page 13: Mrs. Rivas Mid-Chapter Check Point Pg. 685-686 # 1-32 All](https://reader038.vdocument.in/reader038/viewer/2022102906/56649cf65503460f949c5900/html5/thumbnails/13.jpg)
Mrs. RivasHomework
In Exercises 12–15, convert the given coordinates to the indicatedordered pair.
![Page 14: Mrs. Rivas Mid-Chapter Check Point Pg. 685-686 # 1-32 All](https://reader038.vdocument.in/reader038/viewer/2022102906/56649cf65503460f949c5900/html5/thumbnails/14.jpg)
Mrs. RivasHomework
In Exercises 12–15, convert the given coordinates to the indicatedordered pair.
![Page 15: Mrs. Rivas Mid-Chapter Check Point Pg. 685-686 # 1-32 All](https://reader038.vdocument.in/reader038/viewer/2022102906/56649cf65503460f949c5900/html5/thumbnails/15.jpg)
Mrs. RivasHomework
In Exercises 12–15, convert the given coordinates to the indicatedordered pair.
![Page 16: Mrs. Rivas Mid-Chapter Check Point Pg. 685-686 # 1-32 All](https://reader038.vdocument.in/reader038/viewer/2022102906/56649cf65503460f949c5900/html5/thumbnails/16.jpg)
Mrs. RivasHomework
In Exercises 12–15, convert the given coordinates to the indicatedordered pair.
![Page 17: Mrs. Rivas Mid-Chapter Check Point Pg. 685-686 # 1-32 All](https://reader038.vdocument.in/reader038/viewer/2022102906/56649cf65503460f949c5900/html5/thumbnails/17.jpg)
Mrs. RivasHomework
In Exercises 16–17, plot each point in polar coordinates. Then findanother representation of this point in which:
![Page 18: Mrs. Rivas Mid-Chapter Check Point Pg. 685-686 # 1-32 All](https://reader038.vdocument.in/reader038/viewer/2022102906/56649cf65503460f949c5900/html5/thumbnails/18.jpg)
Mrs. RivasHomework
In Exercises 16–17, plot each point in polar coordinates. Then findanother representation of this point in which:
![Page 19: Mrs. Rivas Mid-Chapter Check Point Pg. 685-686 # 1-32 All](https://reader038.vdocument.in/reader038/viewer/2022102906/56649cf65503460f949c5900/html5/thumbnails/19.jpg)
Mrs. RivasHomework
In Exercises 18–20, convert each rectangular equation to a polarequation that expresses in terms of
![Page 20: Mrs. Rivas Mid-Chapter Check Point Pg. 685-686 # 1-32 All](https://reader038.vdocument.in/reader038/viewer/2022102906/56649cf65503460f949c5900/html5/thumbnails/20.jpg)
Mrs. RivasHomework
In Exercises 18–20, convert each rectangular equation to a polarequation that expresses in terms of
![Page 21: Mrs. Rivas Mid-Chapter Check Point Pg. 685-686 # 1-32 All](https://reader038.vdocument.in/reader038/viewer/2022102906/56649cf65503460f949c5900/html5/thumbnails/21.jpg)
Mrs. RivasHomework
In Exercises 18–20, convert each rectangular equation to a polarequation that expresses in terms of
![Page 22: Mrs. Rivas Mid-Chapter Check Point Pg. 685-686 # 1-32 All](https://reader038.vdocument.in/reader038/viewer/2022102906/56649cf65503460f949c5900/html5/thumbnails/22.jpg)
Mrs. RivasHomework
In Exercises 21–25, convert each polar equation to a rectangular equation. Then use your knowledge of the rectangular equation to graph the polar equation in a polar coordinate system.
![Page 23: Mrs. Rivas Mid-Chapter Check Point Pg. 685-686 # 1-32 All](https://reader038.vdocument.in/reader038/viewer/2022102906/56649cf65503460f949c5900/html5/thumbnails/23.jpg)
Mrs. RivasHomework
In Exercises 21–25, convert each polar equation to a rectangular equation. Then use your knowledge of the rectangular equation to graph the polar equation in a polar coordinate system.
![Page 24: Mrs. Rivas Mid-Chapter Check Point Pg. 685-686 # 1-32 All](https://reader038.vdocument.in/reader038/viewer/2022102906/56649cf65503460f949c5900/html5/thumbnails/24.jpg)
Mrs. RivasHomework
In Exercises 21–25, convert each polar equation to a rectangular equation. Then use your knowledge of the rectangular equation to graph the polar equation in a polar coordinate system.
![Page 25: Mrs. Rivas Mid-Chapter Check Point Pg. 685-686 # 1-32 All](https://reader038.vdocument.in/reader038/viewer/2022102906/56649cf65503460f949c5900/html5/thumbnails/25.jpg)
Mrs. RivasHomework
In Exercises 21–25, convert each polar equation to a rectangular equation. Then use your knowledge of the rectangular equation to graph the polar equation in a polar coordinate system.
![Page 26: Mrs. Rivas Mid-Chapter Check Point Pg. 685-686 # 1-32 All](https://reader038.vdocument.in/reader038/viewer/2022102906/56649cf65503460f949c5900/html5/thumbnails/26.jpg)
Mrs. RivasHomework
In Exercises 21–25, convert each polar equation to a rectangular equation. Then use your knowledge of the rectangular equation to graph the polar equation in a polar coordinate system.
![Page 27: Mrs. Rivas Mid-Chapter Check Point Pg. 685-686 # 1-32 All](https://reader038.vdocument.in/reader038/viewer/2022102906/56649cf65503460f949c5900/html5/thumbnails/27.jpg)
Mrs. RivasHomework
In Exercises 26–27, test for symmetry with respect to
![Page 28: Mrs. Rivas Mid-Chapter Check Point Pg. 685-686 # 1-32 All](https://reader038.vdocument.in/reader038/viewer/2022102906/56649cf65503460f949c5900/html5/thumbnails/28.jpg)
Mrs. RivasHomework
In Exercises 26–27, test for symmetry with respect to
![Page 29: Mrs. Rivas Mid-Chapter Check Point Pg. 685-686 # 1-32 All](https://reader038.vdocument.in/reader038/viewer/2022102906/56649cf65503460f949c5900/html5/thumbnails/29.jpg)
Mrs. RivasHomework
In Exercises 28–32, graph each polar equation. Be sure to test forsymmetry.
![Page 30: Mrs. Rivas Mid-Chapter Check Point Pg. 685-686 # 1-32 All](https://reader038.vdocument.in/reader038/viewer/2022102906/56649cf65503460f949c5900/html5/thumbnails/30.jpg)
Mrs. RivasHomework
In Exercises 28–32, graph each polar equation. Be sure to test forsymmetry.
![Page 31: Mrs. Rivas Mid-Chapter Check Point Pg. 685-686 # 1-32 All](https://reader038.vdocument.in/reader038/viewer/2022102906/56649cf65503460f949c5900/html5/thumbnails/31.jpg)
Mrs. RivasHomework
In Exercises 28–32, graph each polar equation. Be sure to test forsymmetry.
![Page 32: Mrs. Rivas Mid-Chapter Check Point Pg. 685-686 # 1-32 All](https://reader038.vdocument.in/reader038/viewer/2022102906/56649cf65503460f949c5900/html5/thumbnails/32.jpg)
Mrs. RivasHomework
In Exercises 28–32, graph each polar equation. Be sure to test forsymmetry.
![Page 33: Mrs. Rivas Mid-Chapter Check Point Pg. 685-686 # 1-32 All](https://reader038.vdocument.in/reader038/viewer/2022102906/56649cf65503460f949c5900/html5/thumbnails/33.jpg)
Mrs. RivasHomework
In Exercises 28–32, graph each polar equation. Be sure to test forsymmetry.