By S. Suzuki
This can be the complaints of a global workshop on knot conception held in July 1996 at Waseda college convention Centre. It used to be equipped via the overseas examine Institute of Mathematical Society of Japan. The workshop used to be attended via approximately a hundred and eighty mathematicians from Japan and 14 different nations. such a lot of them have been experts in knot idea. the amount includes forty three papers, which take care of major present learn in knot thought, low-dimensional topology and comparable issues. the quantity comprises papers by means of the next invited audio system: G. Burde, T. Deguchi, R. Fenn, L.H. Kauffman, J. Levine, J.M. Montesinos(-A), H.R. Morton, ok. Murasugi, T. Soma and D.W. Sumners.
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Additional info for Knots '96
Glencoe/McGraw-Hill 40 MathMatters 3 Name _________________________________________________________ EXTRA PRACTICE Date ____________________________ 5-7 VOLUME OF THREE-DIMENSIONAL FIGURES ᮃ EXERCISES Find the volume to the nearest whole number. 14 for . 1. 2. 24 in. 12 in. 5 ft 8 ft 5 ft 3. 4. 5 cm 16 m 14 m 5. How many cubic meters of water can a water tank hold, if the tank is a cylinder 10 m high and 12 m in diameter? 6. 2. What is the height of the prism? 7. A sphere has a radius of 4 m.
X ϩ y Յ 3 yՅ3 xՆ0 yՆ0 maximum P ϭ 3x ϩ y maximum P ϭ 4x Ϫ y Ά 3. x ϩ 2y Ն 8 yՅ1 xՆ0 yՆ0 minimum P ϭ x ϩ 2y Ά Ά 6. x Ϫ y Յ 4 xϩyՅ4 yՆ0 yՆ0 maximum P ϭ 4x ϩ y maximum P ϭ 4x ϩ y Ά 8. Ϫx Ϫ y Ն Ϫ10 yՅ8 xՅ6 xՆ0 yՆ0 Ά 7. x ϩ y Յ 6 yՅ4 xՅ3 xՆ0 yՆ0 minimum P ϭ 2x ϩ 2y maximum P ϭ 6x ϩ y Ά 9. 2x ϩ y Յ 4 xϩyՆ2 yՆ0 10. 4x Ϫ 2y Ն 8 xϪyՅ4 xՅ5 yՆ0 xՆ0 maximum P ϭ 2x Ϫ 2y © Glencoe/McGraw-Hill yՆ0 minimum P ϭ x ϩ 3y 5. 2x ϩ 2y Յ 6 xϩyՆ2 xՆ0 Ά yՆ0 minimum P ϭ 3x ϩ 2y 50 MathMatters 3 Name _________________________________________________________ EXTRA PRACTICE Date ____________________________ 7-1 RATIOS AND PROPORTIONS ᮃ EXERCISES Is each pair of ratios equivalent?
Square pyramid 6. pentagonal prism 7. sphere 8. oblique cylinder 10. oblique rectangular prism 9. hexagonal pyramid © Glencoe/McGraw-Hill 39 MathMatters 3 Name _________________________________________________________ Date ____________________________ 5-6 EXTRA PRACTICE SURFACE AREA OF THREE-DIMENSIONAL FIGURES ᮃ EXERCISES Find the surface area of each figure. Assume that all pyramids are regular pyramids. 14. Round answers to the nearest whole number. 1. 2. 19 m 8 in. 4 in. 6 in. 6m 3. 4. 5 m 18 ft 5.