In math, an isometry is a congruent transformation in which the distance (or length) and the angle is preserved or remains the same even after the transformation.
The transformation can be translation, rotation, reflection, etc.
Let us not use this definition of isometry to answer our question, one at a time.
(I) In here, as we can see the distances 10 and 5 and the angle 43 degrees has been preserved. So, <u>this is an isometry.</u>
(II) In here, distances have been halved, so this is<u> not an isometry</u>, even though the angles have been preserved.
(III) In here, the corresponding distances and the angles have been preserved. So, <u>this is an isometry.</u>
3.7491739193721... because rational numbers are numbers like -3 -2 -1 0 1 2 3 and decimals like 3.3333333 and 1.62162162162162 because they repeat the same numbers like a pattern, with 3 repeating or 162.The decimal 3.7491739193721... is not rational, or irrational because it is not repeating or terminating, or stopped.
Answer: no
Step-by-step explanation: here are all the ratios equivalent to 18:6 18 : 636 : 1254 : 1872 : 2490 : 30108 : 36126 : 42144 : 48162 : 54180 : 60198 : 66216 : 72234 : 78252 : 84270 : 90288 : 96306 : 102324 : 108342 : 114360 : 120378 : 126396 : 132414 : 138432 : 144450 : 150468 : 156486 : 162504 : 168522 : 174540 : 180558 : 186576 : 192594 : 198612 : 204630 : 210648 : 216666 : 222684 : 228702 : 234720 : 240738 : 246756 : 252774 : 258792 : 264810 : 270828 : 276846 : 282864 : 288882 : 294900 : 300918 : 306936 : 312954 : 318972 : 324990 : 3301008 : 3361026 : 3421044 : 3481062 : 3541080 : 3601098 : 3661116 : 3721134 : 3781152 : 3841170 : 3901188 : 3961206 : 4021224 : 4081242 : 4141260 : 4201278 : 4261296 : 4321314 : 4381332 : 4441350 : 4501368 : 4561386 : 4621404 : 4681422 : 4741440 : 4801458 : 4861476 : 4921494 : 4981512 : 5041530 : 5101548 : 5161566 : 5221584 : 5281602 : 5341620 : 5401638 : 5461656 : 5521674 : 5581692 : 5641710 : 5701728 : 5761746 : 5821764 : 5881782 : 5941800 : 600
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The volume of the pool is 1,620 ft cubed
Answer:
158 in²
Step-by-step explanation:
<u>Surface area</u>
A = 2·(l·w + l·h + w·h)
= 2·(3in·8in + 8in·5in + 3in·5in)
= 2·(24in² + 40in² + 15in²)
= 2·(79in²)
= 158 in²
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