Example 1: In a right triangle, use the Pythagorean Theorem to find the length of the side not given. Give an exact answer and, where appropriate, give an approximation to three decimal places. Given: a = 3 and c = Solution:
a2 + b2 = c2 (3)2 + b2 = ( 15 )
15
2
9 + b2 = 225 9 + b2 = 15 b2 = 6 b=
6 ≈ 2.449 (Exact Answer is
6 , Approximation is 2.449)
Example 2: A water pipe is being prepared to run diagonally under a rectangular kitchen floor. If the kitchen is 11 m by 14 m, approximately how long must the pipe be? Round your answer to the nearest tenth of a meter. Solution:
–––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––––– In addition to the problems assigned from your Personal Academic Notebook for lesson 3.1, work the following problems: For problems 1–3, find the length of the side not given in a right triangle. Give an exact answer and, where appropriate, give an approximation to three decimal places. 1.
a = 12 and b = 5
2.
a = 7 and c = 10
3.
b = 5 and c = 6
4.
A 20 ft ladder is leaning against a building. The top of the ladder reaches a height of 17 ft. How far from the building is the bottom of the ladder? Round your answer to the nearest tenth of a foot.
5.
Find the length of a diagonal of a square that has sides 8 cm long. Round your answer to the nearest thousandth of a centimeter.
6.
A 32 m pipe is running diagonally under a rectangular room. The width of the room is 19 m. Find the length of the room. Round your answer to the nearest hundredth of a meter.
In addition to the problems assigned from your Personal Academic Notebook for lesson. 3.1, work the following problems: For problems 1â3, find the length of ...
9 + b2 = 225. 9 + b2 = 15 b2 = 6 b = 6 2 449 ... In addition to the problems assigned from your Personal Academic Notebook for lesson. 3.1, work the following ...
E 55 Practice for Sampling Wrought Nonferrous Metals and. Alloys for .... Quality Assurance ... 6.2 Lot DefinitionâAn inspection lot shall be defined as. follows:.
Page 1 of 7. Designation: B 317 â 02. Standard Specification for. Aluminum-Alloy Extruded Bar, Rod, Tube, Pipe, and. Structural Profiles for Electrical Purposes (Bus Conductor)1. This standard is issued under the fixed designation B 317; the number
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Page 1 of 11. EcologÃa Austral: 8:297-307,1998. Asociación Argentina de EcologÃa. Alternatives for the development of new industrial crops for. Patagonia. Damián A. Ravetta. 1 and Alberto Soriano. 2. IFEVA and Cátedras de Cultivos Industriales.
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For each figure tell whether it is congruent to the parallelogram at the right. 1. 2. 3. 4. Which trapezoids appear to be similar to the trapezoid at the right? 5. 6. 7. 8.
By the State Convention. The delegates to the State Convention may adopt or modify a Bylaw by a 2/3. vote. A. This Constitution, the Bylaws, and Robert's Rules of Order Current Edition shall be the exclusive. governing rules of the Utah Republican Pa
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When the chemical equation for the reaction of iron (III) chloride reacting with sodium hydroxide is balanced, the sum of all the coefficients is equal to: (a) 4. (b) 6. (c) 7. (d) 8. (e) none of the above. 7. If 1.37g of dinitrogen pentoxide decompo
