final exam review - ace soccermahermath.weebly.com/.../final_exam_review_-_units_1-3.pdf ·...
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![Page 1: Final Exam Review - Ace Soccermahermath.weebly.com/.../final_exam_review_-_units_1-3.pdf · 2018-09-01 · Final Exam Review Unit 1: Transformations and Angle Relationships. Identify](https://reader034.vdocument.in/reader034/viewer/2022043009/5f9b3756ee5b797f5432c122/html5/thumbnails/1.jpg)
Final Exam Review
Unit 1: Transformations and Angle Relationships
![Page 2: Final Exam Review - Ace Soccermahermath.weebly.com/.../final_exam_review_-_units_1-3.pdf · 2018-09-01 · Final Exam Review Unit 1: Transformations and Angle Relationships. Identify](https://reader034.vdocument.in/reader034/viewer/2022043009/5f9b3756ee5b797f5432c122/html5/thumbnails/2.jpg)
Identify the transformation:
1
![Page 3: Final Exam Review - Ace Soccermahermath.weebly.com/.../final_exam_review_-_units_1-3.pdf · 2018-09-01 · Final Exam Review Unit 1: Transformations and Angle Relationships. Identify](https://reader034.vdocument.in/reader034/viewer/2022043009/5f9b3756ee5b797f5432c122/html5/thumbnails/3.jpg)
Identify the transformation:
2
![Page 4: Final Exam Review - Ace Soccermahermath.weebly.com/.../final_exam_review_-_units_1-3.pdf · 2018-09-01 · Final Exam Review Unit 1: Transformations and Angle Relationships. Identify](https://reader034.vdocument.in/reader034/viewer/2022043009/5f9b3756ee5b797f5432c122/html5/thumbnails/4.jpg)
Identify the transformation:
3
![Page 5: Final Exam Review - Ace Soccermahermath.weebly.com/.../final_exam_review_-_units_1-3.pdf · 2018-09-01 · Final Exam Review Unit 1: Transformations and Angle Relationships. Identify](https://reader034.vdocument.in/reader034/viewer/2022043009/5f9b3756ee5b797f5432c122/html5/thumbnails/5.jpg)
Identify the transformation:
4
![Page 6: Final Exam Review - Ace Soccermahermath.weebly.com/.../final_exam_review_-_units_1-3.pdf · 2018-09-01 · Final Exam Review Unit 1: Transformations and Angle Relationships. Identify](https://reader034.vdocument.in/reader034/viewer/2022043009/5f9b3756ee5b797f5432c122/html5/thumbnails/6.jpg)
A triangle with points A(-3, 4), B(-7, 6) and C(-1, 9) is rotated
90˚counter-clockwise. Which quadrant contains the rotated
figure?
5
![Page 7: Final Exam Review - Ace Soccermahermath.weebly.com/.../final_exam_review_-_units_1-3.pdf · 2018-09-01 · Final Exam Review Unit 1: Transformations and Angle Relationships. Identify](https://reader034.vdocument.in/reader034/viewer/2022043009/5f9b3756ee5b797f5432c122/html5/thumbnails/7.jpg)
Point W(-3, 8) is dilated using a scale factor of 3. What is the dilated point’s coordinates?
6
![Page 8: Final Exam Review - Ace Soccermahermath.weebly.com/.../final_exam_review_-_units_1-3.pdf · 2018-09-01 · Final Exam Review Unit 1: Transformations and Angle Relationships. Identify](https://reader034.vdocument.in/reader034/viewer/2022043009/5f9b3756ee5b797f5432c122/html5/thumbnails/8.jpg)
Given points A(22, -7) and A’(11, -3.5), determine the
scale factor.
7
![Page 9: Final Exam Review - Ace Soccermahermath.weebly.com/.../final_exam_review_-_units_1-3.pdf · 2018-09-01 · Final Exam Review Unit 1: Transformations and Angle Relationships. Identify](https://reader034.vdocument.in/reader034/viewer/2022043009/5f9b3756ee5b797f5432c122/html5/thumbnails/9.jpg)
A triangle with points A(5, 9), B(2, 7), and C(1, 11) is reflected over
the x-axis. What are the coordinates of the reflection?
8
![Page 10: Final Exam Review - Ace Soccermahermath.weebly.com/.../final_exam_review_-_units_1-3.pdf · 2018-09-01 · Final Exam Review Unit 1: Transformations and Angle Relationships. Identify](https://reader034.vdocument.in/reader034/viewer/2022043009/5f9b3756ee5b797f5432c122/html5/thumbnails/10.jpg)
Describe the movement of a figure if it is translated using the
following rule: (x + 2, y – 5).
9
![Page 11: Final Exam Review - Ace Soccermahermath.weebly.com/.../final_exam_review_-_units_1-3.pdf · 2018-09-01 · Final Exam Review Unit 1: Transformations and Angle Relationships. Identify](https://reader034.vdocument.in/reader034/viewer/2022043009/5f9b3756ee5b797f5432c122/html5/thumbnails/11.jpg)
Name a pair of vertical angles:
10
![Page 12: Final Exam Review - Ace Soccermahermath.weebly.com/.../final_exam_review_-_units_1-3.pdf · 2018-09-01 · Final Exam Review Unit 1: Transformations and Angle Relationships. Identify](https://reader034.vdocument.in/reader034/viewer/2022043009/5f9b3756ee5b797f5432c122/html5/thumbnails/12.jpg)
Name a pair ofalternate interior angles:
11
![Page 13: Final Exam Review - Ace Soccermahermath.weebly.com/.../final_exam_review_-_units_1-3.pdf · 2018-09-01 · Final Exam Review Unit 1: Transformations and Angle Relationships. Identify](https://reader034.vdocument.in/reader034/viewer/2022043009/5f9b3756ee5b797f5432c122/html5/thumbnails/13.jpg)
Name a pair of corresponding angles:
12
![Page 14: Final Exam Review - Ace Soccermahermath.weebly.com/.../final_exam_review_-_units_1-3.pdf · 2018-09-01 · Final Exam Review Unit 1: Transformations and Angle Relationships. Identify](https://reader034.vdocument.in/reader034/viewer/2022043009/5f9b3756ee5b797f5432c122/html5/thumbnails/14.jpg)
Find the missing angle measure:
13
![Page 15: Final Exam Review - Ace Soccermahermath.weebly.com/.../final_exam_review_-_units_1-3.pdf · 2018-09-01 · Final Exam Review Unit 1: Transformations and Angle Relationships. Identify](https://reader034.vdocument.in/reader034/viewer/2022043009/5f9b3756ee5b797f5432c122/html5/thumbnails/15.jpg)
Find x:
14
![Page 16: Final Exam Review - Ace Soccermahermath.weebly.com/.../final_exam_review_-_units_1-3.pdf · 2018-09-01 · Final Exam Review Unit 1: Transformations and Angle Relationships. Identify](https://reader034.vdocument.in/reader034/viewer/2022043009/5f9b3756ee5b797f5432c122/html5/thumbnails/16.jpg)
Find x:
15
![Page 17: Final Exam Review - Ace Soccermahermath.weebly.com/.../final_exam_review_-_units_1-3.pdf · 2018-09-01 · Final Exam Review Unit 1: Transformations and Angle Relationships. Identify](https://reader034.vdocument.in/reader034/viewer/2022043009/5f9b3756ee5b797f5432c122/html5/thumbnails/17.jpg)
1. Reflection2. Dilation3. Rotation4. Translation5. Q𝐼𝐼𝐼 (3)6. W’(-9, 24)
7.1
2
8. A’(5, -9), B’(2, -7), C’(1, -11)9. Right 2, down 510.1, 4; 2, 3; 6, 7; 5, 811.3, 6; 4, 512.1, 5; 3, 7; 2, 6; 4, 813.23˚14.x = 1315.x = 3
![Page 18: Final Exam Review - Ace Soccermahermath.weebly.com/.../final_exam_review_-_units_1-3.pdf · 2018-09-01 · Final Exam Review Unit 1: Transformations and Angle Relationships. Identify](https://reader034.vdocument.in/reader034/viewer/2022043009/5f9b3756ee5b797f5432c122/html5/thumbnails/18.jpg)
Unit 2: Exponents and Scientific Notation
![Page 19: Final Exam Review - Ace Soccermahermath.weebly.com/.../final_exam_review_-_units_1-3.pdf · 2018-09-01 · Final Exam Review Unit 1: Transformations and Angle Relationships. Identify](https://reader034.vdocument.in/reader034/viewer/2022043009/5f9b3756ee5b797f5432c122/html5/thumbnails/19.jpg)
Simplify and Evaluate:
𝟏𝟒𝒂𝟓𝒃𝟗𝒄−𝟒
𝟐𝟖𝒂𝒃𝟔𝒄𝟐
116
![Page 20: Final Exam Review - Ace Soccermahermath.weebly.com/.../final_exam_review_-_units_1-3.pdf · 2018-09-01 · Final Exam Review Unit 1: Transformations and Angle Relationships. Identify](https://reader034.vdocument.in/reader034/viewer/2022043009/5f9b3756ee5b797f5432c122/html5/thumbnails/20.jpg)
What two integers is the number between?
𝟐𝟖
217
![Page 21: Final Exam Review - Ace Soccermahermath.weebly.com/.../final_exam_review_-_units_1-3.pdf · 2018-09-01 · Final Exam Review Unit 1: Transformations and Angle Relationships. Identify](https://reader034.vdocument.in/reader034/viewer/2022043009/5f9b3756ee5b797f5432c122/html5/thumbnails/21.jpg)
Evaluate and write in scientific notation:
𝟖. 𝟒𝟐 𝒙 𝟏𝟎𝟑
𝟓 𝒙 𝟏𝟎𝟐
318
![Page 22: Final Exam Review - Ace Soccermahermath.weebly.com/.../final_exam_review_-_units_1-3.pdf · 2018-09-01 · Final Exam Review Unit 1: Transformations and Angle Relationships. Identify](https://reader034.vdocument.in/reader034/viewer/2022043009/5f9b3756ee5b797f5432c122/html5/thumbnails/22.jpg)
Which graph represents 𝟗𝟏 ?
419
![Page 23: Final Exam Review - Ace Soccermahermath.weebly.com/.../final_exam_review_-_units_1-3.pdf · 2018-09-01 · Final Exam Review Unit 1: Transformations and Angle Relationships. Identify](https://reader034.vdocument.in/reader034/viewer/2022043009/5f9b3756ee5b797f5432c122/html5/thumbnails/23.jpg)
Students at Kennesaw State pay 𝟏. 𝟓𝟖𝟓 𝒙 𝟏𝟎𝟒 for tuition.
Students at UGA pay
𝟒. 𝟓𝟕𝟑 𝒙 𝟏𝟎𝟓. About how many times greater is the
tuition at UGA?5
20
![Page 24: Final Exam Review - Ace Soccermahermath.weebly.com/.../final_exam_review_-_units_1-3.pdf · 2018-09-01 · Final Exam Review Unit 1: Transformations and Angle Relationships. Identify](https://reader034.vdocument.in/reader034/viewer/2022043009/5f9b3756ee5b797f5432c122/html5/thumbnails/24.jpg)
Write in scientific notation:
𝟎. 𝟎𝟎𝟎𝟖𝟐𝟓
621
![Page 25: Final Exam Review - Ace Soccermahermath.weebly.com/.../final_exam_review_-_units_1-3.pdf · 2018-09-01 · Final Exam Review Unit 1: Transformations and Angle Relationships. Identify](https://reader034.vdocument.in/reader034/viewer/2022043009/5f9b3756ee5b797f5432c122/html5/thumbnails/25.jpg)
Simplify and Evaluate:
(𝟐𝒂𝟑𝒃𝟔𝒄)𝟒
722
![Page 26: Final Exam Review - Ace Soccermahermath.weebly.com/.../final_exam_review_-_units_1-3.pdf · 2018-09-01 · Final Exam Review Unit 1: Transformations and Angle Relationships. Identify](https://reader034.vdocument.in/reader034/viewer/2022043009/5f9b3756ee5b797f5432c122/html5/thumbnails/26.jpg)
Simplify:
𝟏𝟗𝟔
823
![Page 27: Final Exam Review - Ace Soccermahermath.weebly.com/.../final_exam_review_-_units_1-3.pdf · 2018-09-01 · Final Exam Review Unit 1: Transformations and Angle Relationships. Identify](https://reader034.vdocument.in/reader034/viewer/2022043009/5f9b3756ee5b797f5432c122/html5/thumbnails/27.jpg)
Evaluate and write in scientific notation:
𝟑. 𝟒 𝒙 𝟏𝟎𝟐 + (𝟒. 𝟓𝟕 𝒙 𝟏𝟎𝟑)
924
![Page 28: Final Exam Review - Ace Soccermahermath.weebly.com/.../final_exam_review_-_units_1-3.pdf · 2018-09-01 · Final Exam Review Unit 1: Transformations and Angle Relationships. Identify](https://reader034.vdocument.in/reader034/viewer/2022043009/5f9b3756ee5b797f5432c122/html5/thumbnails/28.jpg)
Give an example of a rational number.
1025
![Page 29: Final Exam Review - Ace Soccermahermath.weebly.com/.../final_exam_review_-_units_1-3.pdf · 2018-09-01 · Final Exam Review Unit 1: Transformations and Angle Relationships. Identify](https://reader034.vdocument.in/reader034/viewer/2022043009/5f9b3756ee5b797f5432c122/html5/thumbnails/29.jpg)
Estimate to the nearest tenth:
𝟕𝟔
1126
![Page 30: Final Exam Review - Ace Soccermahermath.weebly.com/.../final_exam_review_-_units_1-3.pdf · 2018-09-01 · Final Exam Review Unit 1: Transformations and Angle Relationships. Identify](https://reader034.vdocument.in/reader034/viewer/2022043009/5f9b3756ee5b797f5432c122/html5/thumbnails/30.jpg)
New York City has a
population of 𝟖𝟒 𝒙 𝟏𝟎𝟓 and Los Angeles has a
population of 𝟑. 𝟖𝟖𝟒 𝒙 𝟏𝟎𝟔. Which city is more
populated?12
27
![Page 31: Final Exam Review - Ace Soccermahermath.weebly.com/.../final_exam_review_-_units_1-3.pdf · 2018-09-01 · Final Exam Review Unit 1: Transformations and Angle Relationships. Identify](https://reader034.vdocument.in/reader034/viewer/2022043009/5f9b3756ee5b797f5432c122/html5/thumbnails/31.jpg)
Estimate to the nearest tenth:
𝟒𝟓
1328
![Page 32: Final Exam Review - Ace Soccermahermath.weebly.com/.../final_exam_review_-_units_1-3.pdf · 2018-09-01 · Final Exam Review Unit 1: Transformations and Angle Relationships. Identify](https://reader034.vdocument.in/reader034/viewer/2022043009/5f9b3756ee5b797f5432c122/html5/thumbnails/32.jpg)
Determine the length of the square:
Area = 256 in2
1429
![Page 33: Final Exam Review - Ace Soccermahermath.weebly.com/.../final_exam_review_-_units_1-3.pdf · 2018-09-01 · Final Exam Review Unit 1: Transformations and Angle Relationships. Identify](https://reader034.vdocument.in/reader034/viewer/2022043009/5f9b3756ee5b797f5432c122/html5/thumbnails/33.jpg)
Simplify and Evaluate:
𝒚𝟑 · 𝒚𝟐 · 𝒚−𝟔 · 𝒚𝟎
1530
![Page 34: Final Exam Review - Ace Soccermahermath.weebly.com/.../final_exam_review_-_units_1-3.pdf · 2018-09-01 · Final Exam Review Unit 1: Transformations and Angle Relationships. Identify](https://reader034.vdocument.in/reader034/viewer/2022043009/5f9b3756ee5b797f5432c122/html5/thumbnails/34.jpg)
The Jones family wants to build a square deck with an
area of 100 square feet. What will be the length of
one side of the deck?
1631
![Page 35: Final Exam Review - Ace Soccermahermath.weebly.com/.../final_exam_review_-_units_1-3.pdf · 2018-09-01 · Final Exam Review Unit 1: Transformations and Angle Relationships. Identify](https://reader034.vdocument.in/reader034/viewer/2022043009/5f9b3756ee5b797f5432c122/html5/thumbnails/35.jpg)
Give an example of an irrational number.
1732
![Page 36: Final Exam Review - Ace Soccermahermath.weebly.com/.../final_exam_review_-_units_1-3.pdf · 2018-09-01 · Final Exam Review Unit 1: Transformations and Angle Relationships. Identify](https://reader034.vdocument.in/reader034/viewer/2022043009/5f9b3756ee5b797f5432c122/html5/thumbnails/36.jpg)
Simplify and Evaluate:
(𝟏𝟐𝒙𝟐𝒚𝟓)𝟎
𝟒𝒙18
33
![Page 37: Final Exam Review - Ace Soccermahermath.weebly.com/.../final_exam_review_-_units_1-3.pdf · 2018-09-01 · Final Exam Review Unit 1: Transformations and Angle Relationships. Identify](https://reader034.vdocument.in/reader034/viewer/2022043009/5f9b3756ee5b797f5432c122/html5/thumbnails/37.jpg)
If light travels at 𝟏. 𝟏𝟖𝟑 𝒙 𝟏𝟎𝟕 miles in one minute, how many miles will it travel in one hour?(Write in scientific notation)
1934
![Page 38: Final Exam Review - Ace Soccermahermath.weebly.com/.../final_exam_review_-_units_1-3.pdf · 2018-09-01 · Final Exam Review Unit 1: Transformations and Angle Relationships. Identify](https://reader034.vdocument.in/reader034/viewer/2022043009/5f9b3756ee5b797f5432c122/html5/thumbnails/38.jpg)
Write in standard notation:
𝟒. 𝟖 𝒙 𝟏𝟎−𝟒
2035
![Page 39: Final Exam Review - Ace Soccermahermath.weebly.com/.../final_exam_review_-_units_1-3.pdf · 2018-09-01 · Final Exam Review Unit 1: Transformations and Angle Relationships. Identify](https://reader034.vdocument.in/reader034/viewer/2022043009/5f9b3756ee5b797f5432c122/html5/thumbnails/39.jpg)
Write in standard notation:
𝟏. 𝟒𝟑 𝒙 𝟏𝟎𝟓
2136
![Page 40: Final Exam Review - Ace Soccermahermath.weebly.com/.../final_exam_review_-_units_1-3.pdf · 2018-09-01 · Final Exam Review Unit 1: Transformations and Angle Relationships. Identify](https://reader034.vdocument.in/reader034/viewer/2022043009/5f9b3756ee5b797f5432c122/html5/thumbnails/40.jpg)
Evaluate and write in scientific notation:
(𝟕. 𝟏 𝒙 𝟏𝟎−𝟓)(𝟔. 𝟕 𝒙 𝟏𝟎−𝟔)
2237
![Page 41: Final Exam Review - Ace Soccermahermath.weebly.com/.../final_exam_review_-_units_1-3.pdf · 2018-09-01 · Final Exam Review Unit 1: Transformations and Angle Relationships. Identify](https://reader034.vdocument.in/reader034/viewer/2022043009/5f9b3756ee5b797f5432c122/html5/thumbnails/41.jpg)
Simplify and Evaluate:
𝟓𝒄−𝟔𝒅𝟐
2338
![Page 42: Final Exam Review - Ace Soccermahermath.weebly.com/.../final_exam_review_-_units_1-3.pdf · 2018-09-01 · Final Exam Review Unit 1: Transformations and Angle Relationships. Identify](https://reader034.vdocument.in/reader034/viewer/2022043009/5f9b3756ee5b797f5432c122/html5/thumbnails/42.jpg)
Evaluate and write in scientific notation:
𝟖. 𝟒𝟏 𝒙 𝟏𝟎−𝟓 − (𝟕. 𝟗 𝒙 𝟏𝟎−𝟔)
2439
![Page 43: Final Exam Review - Ace Soccermahermath.weebly.com/.../final_exam_review_-_units_1-3.pdf · 2018-09-01 · Final Exam Review Unit 1: Transformations and Angle Relationships. Identify](https://reader034.vdocument.in/reader034/viewer/2022043009/5f9b3756ee5b797f5432c122/html5/thumbnails/43.jpg)
16) 1a4b3
2c6
17) 5 and 618) 1.684 x 1019) C20) About 3021) 8.25 x 10−4
22) 16a12b24c4
23) 1424) 4.91 x 103
25) Answers vary (Any whole number, fraction, or decimal that repeats/terminates)
26) 8.727) New York City
28) 6.729) 16
30) 1
y
31) 10 feet32) Answers vary (Any decimal number
that goes on forever without repeating or terminating)
33)1
4x
34) 7.098 x 108
35) 0.0004836) 14300037) 4.757 x 10−10
38)5d2
c6
39) 7.62 x 10−5
![Page 44: Final Exam Review - Ace Soccermahermath.weebly.com/.../final_exam_review_-_units_1-3.pdf · 2018-09-01 · Final Exam Review Unit 1: Transformations and Angle Relationships. Identify](https://reader034.vdocument.in/reader034/viewer/2022043009/5f9b3756ee5b797f5432c122/html5/thumbnails/44.jpg)
Unit 3: Pythagorean Theorem and Volume
![Page 45: Final Exam Review - Ace Soccermahermath.weebly.com/.../final_exam_review_-_units_1-3.pdf · 2018-09-01 · Final Exam Review Unit 1: Transformations and Angle Relationships. Identify](https://reader034.vdocument.in/reader034/viewer/2022043009/5f9b3756ee5b797f5432c122/html5/thumbnails/45.jpg)
Find the volume:
Remember:
𝑽 =𝟏
𝟑𝝅𝒓𝟐𝒉
24 m
40
![Page 46: Final Exam Review - Ace Soccermahermath.weebly.com/.../final_exam_review_-_units_1-3.pdf · 2018-09-01 · Final Exam Review Unit 1: Transformations and Angle Relationships. Identify](https://reader034.vdocument.in/reader034/viewer/2022043009/5f9b3756ee5b797f5432c122/html5/thumbnails/46.jpg)
Find the volume:
Remember:
𝑽 = 𝝅𝒓𝟐𝒉
41
![Page 47: Final Exam Review - Ace Soccermahermath.weebly.com/.../final_exam_review_-_units_1-3.pdf · 2018-09-01 · Final Exam Review Unit 1: Transformations and Angle Relationships. Identify](https://reader034.vdocument.in/reader034/viewer/2022043009/5f9b3756ee5b797f5432c122/html5/thumbnails/47.jpg)
Find the volume:
Remember:
𝑽 =𝟒
𝟑𝝅𝒓𝟑
42
![Page 48: Final Exam Review - Ace Soccermahermath.weebly.com/.../final_exam_review_-_units_1-3.pdf · 2018-09-01 · Final Exam Review Unit 1: Transformations and Angle Relationships. Identify](https://reader034.vdocument.in/reader034/viewer/2022043009/5f9b3756ee5b797f5432c122/html5/thumbnails/48.jpg)
Which equation would you use to determine if a triangle with side lengths 5, 7, 8 is a right triangle?
A. 𝟏𝟎 + 𝟏𝟒 = 𝟏𝟔
B. 𝟖𝟐 − 𝟕𝟐 = 𝟔𝟐
C. 𝟖𝟐 + 𝟔𝟐 = 𝟕𝟐
D. 𝟓𝟐 + 𝟕𝟐 = 𝟔𝟒43
![Page 49: Final Exam Review - Ace Soccermahermath.weebly.com/.../final_exam_review_-_units_1-3.pdf · 2018-09-01 · Final Exam Review Unit 1: Transformations and Angle Relationships. Identify](https://reader034.vdocument.in/reader034/viewer/2022043009/5f9b3756ee5b797f5432c122/html5/thumbnails/49.jpg)
Daniel lost the key to his house. There is a window 20 feet above the ground that he can climb through to get into the house. He has a 32 foot ladder. How far can he place the ladder from the house and still be able to reach the window? (Round to the nearest whole number) **Strategy – Draw a picture!
44
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Find the length of the missing side. (Estimate to the nearest tenth.)
45
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Find the length of the missing side.
46
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Solve:
𝟓𝒙𝟐 = 𝟕𝟐𝟎
47
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Solve:
8𝒙𝟑 = 𝟐𝟏𝟔
48
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The volume of a cylinder is 𝟑𝟐𝟒𝝅 𝒇𝒕𝟑. If the height of the cylinder is 9 feet, what is its radius?
Remember:
𝑽 = 𝝅𝒓𝟐𝒉
49
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How is the volume of a cone related to the volume of a cylinder with the
same height and diameter?
50
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Determine the length of the line segment. Round your answer to the nearest tenth.
51
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The vertices of 3 squares are joined to form a right triangle. What is the area of the largest square?
52
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The volume of a cylinder is 𝟗𝟑 𝒊𝒏𝟑. What is the volume of a cone with the same height and
radius?
53
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40. V = 1230.88 𝑚3
41. V = 1177.5 𝑓𝑡3
42. V = 57876.48 𝑐𝑚3
43. D44. b = 2545. c = 5.446. x = 16 cm47. x = 1248. x = 349. r = 6 ft.
50. The volume of the cone is 1
3the
volume of the cylinder.51. c = 5.852. A = 121 𝑐𝑚2
53. V = 31 𝑖𝑛3