1. right 2. obtuse 3. obtuse. 4. right 5. acute 6. acute. 7. obtuse 8. right 9. acute. 10. right 11. acute 12. obtuse

Transcription

1 . If a triangle is a right triangle, then the side lengths of the triangle are, 4, and ; false; A right triangle can have side lengths,, and 6. If the -intercept of a graph is, then the line is given b the equation = x ; false; = x has a -intercept of. 7. Practice A If a is an even number, then a is an odd number; false; 8 a = is an even number and a equals 4.. If is negative, then a is negative; true; a Reciprocals have the same sign.. not a right triangle 4. right triangle es 9. es. no es a. 8.8 ft b. 8.6 ft c. our friend 4.9 ft 7. Practice B right triangle. not a right triangle The x-coordinate was incorrectl substituted into the distance formula. ( ) ( ) d = + 4 = = 7. no 8. es 9. no. a. 7 b. 7 c. es; The square of a positive value is the same as the square of its negative. d. Sample answer: $9, and 6, ; distance =, and 6, ; distance = 7. Enrichment and Extension right. obtuse. obtuse 4. right. acute 6. acute 7. obtuse 8. right 9. acute. right acute obtuse 7. Puzzle Time A D-HORSE Technolog Connection c = 7. c = b =. 4. b =. Chapter 8 8. Start Thinking! For use before Activit 8. Sample answer: filling clindrical jars with homemade jam 8. Warm Up For use before Activit Start Thinking! For use before Lesson 8. Sample answer: Find the area of the base b finding the radius and squaring it, then multipling that number b π. Find the measure of the height and multipl that number b the area of the base. 8. Warm Up For use before Lesson 8. 4π 69.6 in.. 6π 6. ft. 6π 8.9 m Practice A 9π 6. in. 47π 468 in.. 6π m.. π. cm 4. π. in ,987 gal times more volume 6π 88. ft 88π 94.8 mm 8π 9 cm A4

2 8. Practice B. 4π 76.4 mm. π in in ft 7. a. ft b. ft c. 74 gal 8. Enrichment and Extension a. 48.9% b. 6. in. 6π 9.8 ft 79π 9. m. a. 9.4% b. The smallest diameter is inch because the cherries have a -inch diameter. The smallest height is inches because the cherries will be stacked on top of each other. The smallest volume is about 7.8 cubic inches. The would save 77.7 square inches because the surface area of the prism is.6 square inches and the surface area of the clinder is about.99 square inches.. Sample answer: Extra cardboard and plastic and other packaging materials are used to make the package. This means wasted trees and other resources. It also means that more energ is spent making the packaging products. The extra packaging also takes up more space in a landfill. Because the packaging is bigger, it will take up more space when being transported, so fewer items can fit in a shipment. This will lead to more energ being wasted and more mone being spent in transportation. 4. Answer should include, but is not limited to: Make sure students mention how much of the volume of the packaging is wasted, a new packaging design, how much packaging is saved, and some of the environmental consequences from Exercise. 8. Puzzle Time THE SAILORS WHO COULDN T PLAY CARDS BECAUSE THE CAPTAIN WAS STANDING ON THE DECK 8. Start Thinking! For use before Activit 8. square: A = s ; rectangle: A = bh triangle: A = bh; circle: A = πr 8. Warm Up For use before Activit π.9 m. 8π 4. in Start Thinking! For use before Lesson 8. 4π 6.6 cm ft 4 π Sugar cone has a volume of about 9 cubic centimeters and sugar cone has a volume of about 66.7 cubic centimeters. Because the volume of sugar cone is greater it can hold more ice cream. 8. Warm Up For use before Lesson 8.. 4π 7. m cm 64π in d 6 π π Practice A.. π 7.7 ft cm π. in. π 4. π 47. m π 6. mm 7. 8 π ft 6 8. a. π 67.6 in. b..9 qt 8. Practice B 4π 7.9 ft mm π. 84π 6.9 ft in..9 cm π. 6. in. 6.. m 7. a. π. cm b.. sec 8. : 4 π Enrichment and Extension Sample answer: The cake cone will hold more because the dimensions are close and clinders hold more.. cake cone:. cm ; sugar cone: 48. cm A4

3 . Sample answer: The prediction was correct. 4. Sample answer: You will probabl get more if ou order the cake cone because ou can fit more in the cake cone. Two scoops of hard ice cream has a fixed volume, so it doesn t matter which cone ou choose.. 4 cm 6. about batches 7. a. The regular size cake cone holds about 67 cubic centimeters, which is more than what the sugar cone holds. b. about. cm 8. Puzzle Time THE PUNY EXPRESS 8. Start Thinking! For use before Activit 8. V volume of a clinder: = Bh; volume of a cone: V = Bh; Sample answer: Both formulas multipl the area of the base and the height. Both objects have a base that is a circle. The volume of the cone is multiplied b. 8. Warm Up For use before Activit 8... cm..9 ft Start Thinking! For use before Lesson 8. m 6.8 in. Sample answer: A coach inflates a ball with air. 8. Warm Up For use before Lesson ft cm π π. 88π 94.8 m Practice A 4 7. d π cm π. 6π ft. 4π 4,7. in in cm 7.. in. 8.. ft 9. 97π.6 mm.6 cm 8. Practice B,976 π,494. m mi π 6,. π 6,449.8 ft 4. 4 π 4. cm. d 6.. mm ft in. 8. Enrichment and Extension Sample answer: 6 in. 7.6 m. will var. Check students measurement and ratios. 4. Sample answer: 8 in.. Sample answer: During a game of dodgeball, ou want to avoid throwing balls that are too large for our hand. 6. Sample answer: A ratio greater than indicates the ball is smaller than our hand size. 7. Sample answer: When the ball is squeezed, the circumference is lessened, allowing ou to grip it better. 8. Puzzle Time THE DOORBELL 8.4 Start Thinking! For use before Activit 8.4 Sample answer: A juice factor uses volume to figure out how much juice to put into different sizes of bottles. 8.4 Warm Up For use before Activit 8.4 es. no. no 4. es. no 6. es 8.4 Start Thinking! For use before Lesson 8.4 Sample answer: Two figures are similar if corresponding sides are proportional and corresponding angles are equal. A4

4 8.4 Warm Up For use before Lesson 8.4 a. b. because = because = Practice A no. es. h = 6 ft 4. = m; h = 4 m. 7. a. 9.6 mm in. b. 8.4 Practice B r = 4 ft 6. in.. h = 7. cm; w = 8 cm 6 ft..4 m cm.. in. 6. a. 9. cm b. 79. cm c. 8. cm; w = 7. cm; h =. cm 8.4 Enrichment and Extension Step : Fill the -cup container. Pour all of it into the 4-cup container. Step : Refill the -cup container and pour it into the 4-cup container until it is full. Because there are alread cups in the 4-cup container, there are exactl two cups left in the -cup container.. Step : Fill the 9-cup container. Pour it into the 4-cup container until it is full and there are cups left in the 9-cup container. Step : Empt the 4-cup container. Pour the remaining water in the 9-cup container into the 4-cup container until it is full and there is exactl cup left in the 9-cup container. Step : Empt the 4-cup container. Pour the cup from the 9-cup container into the 4-cup container. Step 4: Refill the 9-cup container. Pour it into the 4-cup container until it is full. Because there is alread cup in the 4-cup container, there are exactl 6 cups left in the 9-cup container.. Step : Fill the 4-cup container. Pour all of it into the 7-cup container. Step : Refill the 4-cup container. Pour it into the 7-cup container until it is full and there is exactl cup left in the 4-cup container. Step : Empt the 7-cup container. Pour the cup from the 4-cup container into the 7-cup container. Step 4: Refill the 4-cup container. Pour it into the 7-cup container. Because there is alread cup in the 7-cup container, there are now exactl cups in the 7-cup container. 4. Method : Step : Fill the -cup container. Pour it into the -cup container until it is full and there are exactl cups left in the -cup container. Step : Empt the -cup container. Pour the cups from the -cup container into the -cup container. Step : Refill the -cup container. Pour it into the -cup container until it is full. Because there are alread cups in the -cup container, there are exactl 4 cups left in the -cup container. Method : Step : Fill the -cup container. Pour all of it into the -cup container. Step : Refill the -cup container. Pour it into the -cup container until it is full and there is exactl cup left in the -cup container. Step : Empt the -cup container. Pour the cup from the -cup container into the -cup container. Step 4: Refill the -cup container. Pour it into the -cup container until it is full. Because there is alread cup in the -cup container, there are now exactl 4 cups in the -cup container. Method wastes cups of water, but method wastes 6 cups of water.. Step : Pour the 8-cup container into the -cup container until it is full and there are exactl cups left in the 8-cup container. Step : Pour the -cup container into the -cup container until it is full and there are exactl cups left in the -cup container. Step : Pour all of the -cup container into the 8-cup container. There should be a total of 6 cups in the 8-cup container. Step 4: Pour the cups from the -cup container into the -cup container. Step : Pour the 8-cup container into the -cup container until it is full and there is exactl cup left in the 8-cup container. Step 6: Pour the -cup container into the -cup container until it is full and there are exactl 4 cups left in the -cup container. Step 7: Pour the -cup container into the 8-cup container. Because there is alread cup in the 8-cup container, there are exactl 4 cups in the 8-cup container. Also, there are 4 cups in the -cup container. A44

5 8.4 Puzzle Time MUSSELS Technolog Connection in. Chapter 9 9. Start Thinking! For use before Activit 9. Number of shoes 4 6 x Person 9. Warm Up For use before Activit Start Thinking! For use before Lesson 9. Sample answer: In general, if a scatter plot has a positive relationship, as the value of x increases so does the value of. The points lie close to a line. In general, if a scatter plot is nonlinear, the points lie in the shape of a curve. 9. Warm Up For use before Lesson 9. a. (, 6) 6 (, 4) 4 (4, ) (, ) (, ) (, ) Number sold 4 6 x Sweatshirts Sold x Average price b. As the average price of the sweatshirts increases, the number of sweatshirts sold decreases. 9. Practice A positive linear relationship; As the age of the automobile increases, the odometer reading increases.. negative linear relationship; As time spent fishing increases, the amount of bait in the bucket decreases.. no relationship; The number of passengers in a car is not related to the number of traffic lights. 4. a. (, 4 ), ( 6, 6 ), (, 6 ), (, ) Number of surfers x Wave height b. positive linear relationship. a. about 4 das b. about lawns c. positive linear relationship 6. positive linear relationship; gap between -values of to 9 7. positive linear relationship; gap between x-values of 9 to and 6 to, outlier at ( 4, ), clusters around and around 9. Practice B a. ( 6, ), ( 4, ), ( 9, 9 ), ( 4, ), ( 7, ), 6, 6,, ; Number of students 4 6 x Minutes b. negative linear relationship. a. about 6 bushels b. about 7 apples c. positive linear relationship. Sample answer: the number of items in a cart and the total cost A4