[img]2022m10x/ct_ve01204002j_0003_221018[/img]The figures above show a hexagona

游客2025-02-27 20

问题

The figures above show a hexagonal nut that has a width of

inches and a wrench that, in order to fit the nut, must have a width of at least

inches. Of all the wrenches that fit the nut and have widths that are whole numbers of millimeters, the wrench that fits the nut most closely has a width of how many millimeters?
[Note: 1 inch ≈ 25. 4 millimeters)

选项 A、30
B、31
C、32
D、33
E、34

答案 E

解析 The width of the nut in millimeters is nearly equal to

.
Since

，it follows that the width of the nut is between 33 mm and 34 mm.
The correct answer is E.

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[img]2022m10x/ct_ve01204002j_0003_221018[/img]The figures above show a hexagona

IntheformulaW=[img]2022m10x/ct_ve01204002j_0013_221018[/img]，integersPandt

IfN=[img]2022m10x/ct_ve01204002j_0011_221018[/img],whereT=K/5andx=5-

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[img]2022m10x/ct_ve01204002j_0003_221018[/img]Thefiguresaboveshowahexagona

[img]2022m10x/ct_ve01204002j_0001_221018[/img]Themapaboveshowsthetrailst

[img]2022m10x/ct_ve01204002j_0057_221018[/img]Thefigureaboveshowsthedimens

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[img]2022m10x/ct_ve01204002j_0051_221018[/img]InrectangularregionPQRSabove,

[img]2022m10x/ct_ve01204002j_0048_221018[/img]Inthefigureabove,pointsA,B,

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