By P. B. Medawar
To these drawn to a lifestyles in technological know-how, Sir Peter Medawar, Nobel laureate, deflates the myths of invincibility, superiority and genius; as an alternative, he demonstrates it's common experience and an inquiring brain which are necessary to the scientist's calling.
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What is the surface area of a square pyramid whose base length is 8 ft and whose faces have heights of 12 ft? 9. , a length of 8 in. and a width of 4 in.? 10. 5 ft? 11. Can you find the surface area of a cylinder if all you know is its radius? Explain. © 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.
1. 2. 3. x m 13 m 45° 6 ft 6 ft 50° 50° x in. 17 m x° 6 ft 45° 8 in. R Complete each proof. S 4. Given: ෆ RS ෆ || U ෆT ෆ, R ෆU ෆ || S ෆෆ T Prove: ෆ RS ෆХT ෆU ෆ T U STATEMENTS REASONS 1. 1. 2. ЄSRT Х ЄUTR; ЄSTR Х ЄURT 2. 3. ෆ RT ෆХT ෆR ෆ 3. 4. 4. ASA Postulate 5. ෆ RS ෆХT ෆU ෆ 5. 5. Given: X ෆZ ෆЌෆ WY ෆ; Point Z is the midpoint of ෆ WY ෆ. Prove: ЄW Х ЄY STATEMENTS REASONS 1. 1. 2. 2. definition of perpendicular 3. W ෆZ ෆХY ෆZ ෆ 3. 4. 4. Reflexive Property 5. ᭝XZW Х ᭝XZY 5. 6. ЄW Х ЄY 6. © Glencoe/McGraw-Hill 28 MathMatters 3 Name _________________________________________________________ EXTRA PRACTICE Date ____________________________ 4-4 ALTITUDES, MEDIANS, AND PERPENDICULAR BISECTORS ᮃ EXERCISES Trace ᭝EFG, at the right, onto a sheet of paper.
The areas of two rectangles are in the proportion 3 : 4. 2, what is the area of the smaller rectangle? Arrange the given terms to form a proportion. Supply the missing term. 21. 3, 5, 8 22. 81, 3, 9 23. 6, 15, 4 24. 42, 24, 36 © Glencoe/McGraw-Hill 51 MathMatters 3 Name _________________________________________________________ Date ____________________________ 7-2 EXTRA PRACTICE SIMILAR POLYGONS ᮃ EXERCISES Determine if the polygons are similar. 1. 2. 37° 6 in. 8 in. 4 in. 113° 5 in. 5 cm 12 in.