Maths-
General
Easy
Question
A Student estimates the weight of astronauts on the moon by multiplying their weight by the decimal 0.1666666..., What fraction can be used for the same estimation ?
Hint:
Perform necessary multiplications to make it as a fraction.
The correct answer is: 1/6
Complete step by step solution:
Let x = 0.1666666
Now multiply by 10 on both the sides,
We get, 10x = 1.666666
On subtracting x from both the sides, we have
10x - x = 1.666666 - 0.1666666
![rightwards double arrow 9 x space equals space 1.5
rightwards double arrow x space equals space fraction numerator 1.5 over denominator 9 end fraction](data:image/png;base64,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)
Multiply by 10 on numerator and denominator of x.
On multiplying, we have
. (Since the numerator and denominator of a fraction
must be integers)
On simplification, we get ![1 over 6](data:image/png;base64,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)
Hence 0.1666666…. = ![1 over 6](data:image/png;base64,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)
Multiply by 10 on numerator and denominator of x.
On multiplying, we have
must be integers)
On simplification, we get
Hence 0.1666666…. =
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△ ADB and △ CBD are congruent by HL-congruence postulate.
![](data:image/png;base64,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)
△ ADB and △ CBD are congruent by HL-congruence postulate.
![](data:image/png;base64,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)
Maths-General
Maths-
Use the given information to name two triangles that are congruent. Explain your reasoning
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)
Use the given information to name two triangles that are congruent. Explain your reasoning
![](data:image/png;base64,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)
Maths-General
Maths-
Use the given information to name two triangles that are congruent. Explain your reasoning. ABCD is a square
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)
Use the given information to name two triangles that are congruent. Explain your reasoning. ABCD is a square
![](data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAAJsAAACjCAYAAACdSGxMAAAU80lEQVR4nO2deXTU1b3AP/f3+82SCYkBKotsAqUoCCKSommtCq+yqMEAsloFn2gpqYAszSIJUcYFQkI2OPV4Tl2K2neU19pK7elxeYo+ROwBRUQsqDwqKIsoZJ3f7973x2SGIMEUSDLb/ZwDCZnJnZvMh++993s3oZRSaDTtgBHpCmgSBy2bpt3QsmnaDS2bpt3QsmnaDS2b5iw4v8SFdcYyRdN/hL4gmn26Jj5RSBwEhhQIoUA0IJQBCpQQOMJEIjAAU4FoQY/mZTvlm0KynfaAJs45NbwoUArpKJQCJSSYYAgr9GiLdjQvWxgJSJSSiFChSiFaUlgTN4jwR4VtB9jyv9uoqw8gDUlqqo8evfrQ+QddsUyrxT6ZaH4GIRTNJI7joJA0NEjsgENycjKGcbJYLV68o0AJEAGOHjrIqGtuZlh6OilpXj7evZOUlBQWLc1l2LDh+Nyu7y3pDDKqJn8cGurr2PDC81RWVlJTU9PaP40mJlBI6ZCakkZhYT4VFRX8deOfGdC/L2Vryjh05OsWS2heNgVSGSglUMrh2JEjVFZU8dwf/sD7H7yPFAIHoPFvTZyiAKVQ2IAFSuGYUFevcADDFOQtWszeHbs4cPgQsoXizhDZBCiBRBAI1PPelq306d2X6dOmsWHDhmAdhECcMnjQxB0h2YQDGJgGSCERQiABR0Fqpx/gESbHjp9AtrCm44yRTSgQSlJdU8OLf/krE7Ky+PnPR7P13a0cq6ltfJrur8U74XDS+IkBIMAETGFg19YSEIoOLg+iBR/OOIAQANLm4IEDfLj7n/zsZ9fRo3s3kn0+/uf1NxGAailuamKbYAMXbB4VKKlAKmSjU4GAzYsvvUSnrhfS9cJOmOeUZ0OBAsdp4J13NoPh4v0P3qf+xGE6dkxj/dPPcNP4GxpN1tEtbhEgVWNkE2CgqD7+DRs3vsT27Z0J1NbwxxdfJGvqVLp16dJicc3KJlEYQlJ9vIY//+llRo4cye5PPsGQNQzo34//2rCRzz7dT/8+PVr5p9NEG0IIDIKzBu6kDowaPZp3tryNIQN079aN2f95F9eP+g98Xm+LZZ0mm0JhCwdLSv7v839x7Eg1BQWFdEz1AfDNN1/z6Sefsum1V+l/5+2t/9NpogoTAzDAAF9aV0oqSs+5rGYim0AIA4XE5bZYsHA+HVJ81EgHDw7JXg/z7p3H0W9rdQOqOSuanUFwlEQoB8MwAQNHglQKQzjBTqAwUUpQ12BjimCyTwihZxPijNDUpGmaGIZx3u9vs7IFvyJRwkEoAcoKjj5FcEZBKklDvWTbtu1s2vQmXbt2IRAIaNnikG+//ZasrCx69uyJaZrnVVYLS4waR5uicX4MEVxHogRSOrz37rs8UFTElKlTGDVqFIFAgJC7WrzYx+12s379ejIyMujVq9d5l9esbMIApQyMxjmC4BdDnxiYhoFh2KRekMKVI67Etm369u1LRkbGeVdIE128+eabuN3uVgkeZ07qNka2cF+sMaiFcmtCCLxJSYwbN47hw4fj9/t55ZVXAJBSZ3vjBSllq7VSLaxn+36UUqSlpXH77bfjOA7l5eXYts2YMWPCFW26HEmT2JyXbCHjk5KSuOeee7Asi/LychzHYfz48ThOcFWIFk4D5ylbU3w+H7Nnz8ayLCorK6mvrycrKwt9uoMmRKvJppQiJSWFWbNmYVkWv/3tbzEMgwkTJiClREqJZbXay2likFZ790NNpc/nY+bMmbhcLh577DFqa2uZNm2aHjRoWk+2pvh8Pm699VaUUvzud7/DcRxmzpwJ6A0ziUybtWsdOnRgxowZ+Hw+1q1bRyAQYNasWTiOE54C0SQWbSJbKHJ5vV5uvvlmHMfhueeeIxAIMGfOHN2kJiht2mNXSuH1epk0aRI+n4+qqiqEENx1110opcJ5ON2sJgZtKpsQAsMw8Hq9jB8/HpfLxbp166iurmb+/Pk4jqNzcAlEm+ciQlHL7XYzevRolFJUVFRgWRbz5s1r65fXRBHtlvgSQuDxeBgzZgxer5fi4mIaGhpYuHBhcNe9UpimqZvUOKZds6yGYeB2u7n22mtRSlFWVgbAwoULsW27PauiiQARSelblsU111yDYRisWrWK+vp6cnJywo/rXFx8EpHeuWEYJCUlcf3115Obm8tbb73FqlWrALBtm0AgEIlqadqYiE5WmqZJRkYGhmGwYsUKGhoayM/P13m4OCWieYfQoODqq6+moKCAzZs34/f7w+kQKaVeNRJHRFS20LSVy+UiIyODnJwc3njjDfx+P7Zt4ziOjnJxRNRkVIUQpKen8+CDD7J582aWL18e3kKmiQ+i6p00TZMRI0Zw//33s337dlasWBHOwYU+amKXqJGt6WbYH//4xxQWFrJlyxaWLVtGIBDQzWkcEDWyNUUpxdChQyksLGTXrl0UFRXp3FscEJWyGYaBy+UiPT2dgoICtm3bRl5eHtXV1TiOE95Io4ktolI2ODmBP2zYMPx+P3v27CE/P5/jx4/rCBejRK1sIZo2qXv37qWwsJATJ05EulqacyDqZTMMA8MwwhFu//795OXlcezYMWzb1hP4MUTUyxZCKcWQIUMoKiriiy++oKCggGPHjuntgTFEzMgmhEBKyWWXXcbDDz/MkSNHyM/P5/DhwwA6DxcDxIxscHJv6sCBA8nPz6empobCwkL+9a9/Rbhmmn+HmJKtKYMGDaKwsJBvv/2WgoICDh48qEepUU7Mygbwwx/+kKKiIgzD4IEHHmDfvn0AOg8XpcS0bAD9+vVj0aJF1NbW8uCDD7Jnzx69ATpKiXnZlFJccsklFBUVYVkWK1asYO/evac8rokOYl62UD+tb9++LFmyBI/Hw0MPPcSuXbsAfQpmNBHzsjWlX79+5Obm4vF48Pv97Ny5UzepUURcyaaUok+fPixdupROnTqxcuVKduzYEX5MN6mRJa5kCzWpffr0YdGiRaSmpvLwww+zfft2hBBatggTV7I1pXfv3ixZsoTu3buzatUqtm7dqpeYR5i4/u336tWLBQsW0L17d0pKSti6dSugBw2RIq5lA+jZsycLFizg4osv5tFHH+WNN97QES5CJMRvvUePHmRnZzNgwAAqKip4/fXXw4/pgUP7kRCyAVx00UXce++9DBw4kNLSUl577TVAN6ntScLIBtCtWzfmzZvH8OHDqaio4OWXX9bHdLUjCSUbQPfu3fnVr37FsGHDqKqq4u9//zsQjHB6Ar9tSchlrhdeeCFz587F5XJRUVFBbW0tmZmZukltYxJSNggKd/fddyOE4PHHH8cwDG666aZIVyuuSVjZADp37sw999yDx+Ph8ccfx7ZtbrnllvBdDTpF0roktGwAHTt2ZNasWbjdbp5++mls22by5Mk6HdIGJLxsSik6duzIHXfcgWVZPPXUU0gpmTJlyinP0SPW8yfhZQtN0IeuPxJCsH79ehzHYfr06eFBg5bt/El42eCkSCkpKUybNg0hBM888wwA06dPj2TV4gotWxOUUqSmpnLbbbfh8Xh45plnqK+vZ9asWfr6o1ZAy9aEpteQT548GcdxeP755zFNk1/84hcRrl3so2U7A16vl6lTp+L1enn66aepq6tjzpw5ka5WTKNlOwNCCHw+H5MmTQJg/fr1WJbF7NmzdR7uHNGynYGmF7xNmjQJx3F46qmnsG2bOXPm6DzcOaBlawGlFJZlMWXKFDp06BC+9z47O/uUfQ160NAyWrYWEEIghMDtdpOZmYnjODz22GMYhsHcuXNPeY7m+9GynQVCCDIzM7Esi7Vr11JfX8+CBQt03+3fRMt2lliWRWZmJkII1q1bF76k17KscB5O0zxatrOgaVOZmZmJYRiUlZXR0NDA/PnzMU1Tz6N+D1q2c0RKydixYxFCUFVVhRCC7OxsvF5vpKsWtWjZzpHQtNWNN96IZVmsXr0aKSX33nsvHo8HpZRuUr+Dlu08CDWXY8aMQSlFeXk5Simys7NJSkrSTep30LK1ArZtM3bsWAzDoLi4OBzhkpOTI121qELL1gqEjse/4YYbcLvdPProo9i2zfz580lOTtZTW43o30AropTiuuuuY/HixWzZsoWqqiqOHz+uRWtER7ZWJLTmbfTo0SQnJ+P3+6mpqWHRokWkpaUlfB9O/5drRQzDCJ90edVVV5Gbm8vOnTuprKzkyJEjSCkTem+qjmxthJSSjIwMDMPgoYceoq6ujoULF9K5c+dIVy1i6MjWRhiGgZSSq666imXLlvHJJ59QWlrKl19+CSTmKeZatjYkNDBIT0/nvvvuY+fOnVRUVHDgwIGEPKpLy9YOSCkZOXIky5YtY8+ePZSVlXHgwIHwerhEkU7L1g4YhoFSiiuuuIIlS5bw2WefUVJSwqeffho+PSkRhNOytROhKDZ8+HDy8vLYv38/a9as4fPPP8eyrIRIiWjZ2pHQnalDhw7l/vvv5+jRo5SWlrJ7924g2NzGc4TTsrUzoUHDkCFDyMnJ4ejRo6xZs4bdu3fH/YGEWrYIoZRi8ODB5OfnU1dXFxYunq8h17JFEKUUgwYN4je/+Q21tbWUlZXx0UcfAcGVJPE226BlixBNd2QNHDiQvLw8pJQUFxezY8eOuLzgTcsWBSilGDBgAEuXLsWyLMrLy/nggw/CKZN4iXBatihiwIAB5ObmYpomq1evZtu2beERbDyMUrVsUUDTHNvFF1/M4sWLSUlJobS0lK1bt8ZNHk7LFmUopejfvz85OTlccMEFrFmzhvfeew8g5pcoadmilJ49e7J48WK6dOnCypUreeedd8I5ulhtUrVsUUaouVRK0bt3b+677z569OhBWVkZmzdvjumTL7VsUUpoLrVnz57k5OTQv39/SkpKeOutt4BgHi7WZhu0bFFMKIJ16dKF7OxsBg0aRHl5OZs2bYrJHVuxVdsERSlF165d+fWvf83gwYPDES7WmlMtWwwQalI7d+5MdnY26enplJeX88orr4RzcLEwaNCyxQihKNapUyfmzp3LlVdeSUlJCa+++uopj0cz8bvEIE5RSpGWlsa8efPw+XwUFxdTX1/PuHHjwtNb0Sqeli3GCImUmprKXXfdRSAQoKqqCsMwuOGGG6JaOC1bDJOcnMwvf/lLPB4Pq1evxrZtbrzxxqgdpWrZYhgpJR06dODuu+/G5XJRWVmJlDJ8Zly0RTgtWwwTimAej4fZs2ejlKK0tBSA8ePH43K5Ilm909CyxQFKKVwuV/iS3oqKChzHCZ9sHi1ET00050zTC95mz56NlJLy8nIAbr755vCq30j35bRscUJIOMMwuP322/F6vZSVlYUjnMfjiXANtWxxh5QSl8vFjBkzAKisrEQIwS233BLxQYOWLc5o2lTedtttuFwuSkpKCAQCZGVl4XK5IrZMScsWx0gpmTx5MkII1q5di2maTJgwIWJNqpYtjgnNJkydOhXTNFm1ahWBQICJEyfi9Xrb/a4GLVsc03RvaijClZeXY9s2EydObPej87VsCYJt20yaNAmlFKtXr8blcpGVlUVSUlK71UHLliCELnGbPHkyycnJrFixgrq6Om699VaSkpIwDKPNm1QtW4LQdCPNuHHjEELwyCOPIIRg4sSJpKamtnkdtGwJSCAQYOzYsbjdbvLy8qirq2PmzJltLlx0rkXRtBlCiPAE/ahRo3jkkUd49tlnefLJJ/n6668JBAJtthFay5bAhK4/8vv9PPvss/z+97/nxIkTbdZ3a7VSY2HDheZ0bNvmmmuuYeXKlbzwwgs88cQTHDly5JT3s7Xe21aVLXQWhRYvNhBChJcg/fSnP8Xv97NhwwaefPJJDh061Oqv12qyhTbNxvLxAImM4zj85Cc/obi4mI0bN/LEE09QXV3dqq9xXqPRpisItGCxTWjN28iRI/H7/RQUFJCamsrRo0db7TXOSzbbtjlw4AAff/wxUkotXBwQ2n1/55134vf7OXjwIIsXL26Vss9ZNsMwSEtLY9++faxdu1aLFkeE+nKDBw8mKSmp1VaJCHUevfmGhgZqa2tbpSKa6MM0TaSUJCcnt8qB0uclm0ZzNuikrqbd0LJp2o1mZVPhj7qF1TRPsPd1dnOozY5GJQqhBI5Tx8cfbGfTe9tIsnxYlsWQ4VcwaNClKCmxBAihg2OioSQ4KoBlKo5+9Q3vbv0Hn+/fR5LPx6WXXMqQIUPxuBt34zdJUjQjW+hgOUFDoI6//eVFnvrzRsb8bDTHjn3N315/heUP+OnZvRtna7YmPlBKIUzFV199wdrSxzj89XGqG2rxJfn4dO9n9OvbH0+nNIIWneTMeTYVLNTj9TJ9xgxyFizlqy/3MmnGHXy48wMuvqgbyhGI+LtiSdMCSihMLP604Y/848Od5N9fwBXDLsMO2Oz8aBcer7vZDtiZZRMQytMeOvQV/7fvn3z44ft06daNPn364CiFqb7rriYhEBKQvPSnvzB+6h1ccvlluCwLt9vNiBFXopTkZM//pB/fO4MghIFtB/hwx4f88b9f4uPduzn+TT0u0xUsS+gBREIiHMDm4BcH6XRRdxyXi2CXSgEKIRQnZTvZ9J3Wu1cIlBAIpRBKoUyTXj16MyJ9JLdMyGTopT9iTUkZpiH0FFWCEnzXXbiSvNg1JzBtByUF0pGAwclpglP9OE02QdBJAzAUCMti4I8u4eqMq7j2+usZcfkg3n777aDDOrAlJhLAZMTVGbz60kaqDx/GsEwM0+LLL7+koSFAo0GnfFuzzag4qRu19XVs2vwuXX7QlW8O7+edtzczY/r0oGzSwTB16iMRUdjMvvNOCguKyMvNo1/ffgTsBo6fOE5ubh5du3Y57XvM5cuXL/9uMQIJygh29ITEdgSW6cJQDsOuGE7WlKl4vElYSIRhoAcJiYUieC9Dt27d6du3H1JKGgINpKSkcPnll3PppZfidrtP+75mJuIVigBIN7ZswA6coLrGQToGXgtS0zrgGB4cFG5sgsFRy5ZIhEabwT57MB9bfaIaj8dHUlLSGc8QaVY2VACFG0faCGFjCBdKmRgowMYRFhKBRQAhtGyJRlCZoDZSOphmqH928tbn5pYknWGJUTB/drLQkzIJQIWWgp+WI9YkFgqlgvlYFfxnmOYyFXo9m6bd0ENJTbuhZdO0G1o2TbuhZdO0G/8PlLMksgq+1ygAAAAASUVORK5CYII=)
Maths-General
Maths-
Determine whether each of the following are terminating or repeating
a) 5.692
b) 0.22222222222
c) 7.00001
d) 7.288888888888
e) 1.178178178178178.......
Determine whether each of the following are terminating or repeating
a) 5.692
b) 0.22222222222
c) 7.00001
d) 7.288888888888
e) 1.178178178178178.......
Maths-General
Maths-
Name the included angle between the given sides.
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)
1) AB and AC
2) AB and BC
3) AC and CD
Name the included angle between the given sides.
![](data:image/png;base64,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)
1) AB and AC
2) AB and BC
3) AC and CD
Maths-General
Maths-
Find the length of the diagonal and area of a Rectangle whose sides are 10 cm and 12 cm. If the perimeter of a square is 2 ( 2x+4y) , find the area ?
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)
Find the length of the diagonal and area of a Rectangle whose sides are 10 cm and 12 cm. If the perimeter of a square is 2 ( 2x+4y) , find the area ?
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)
Maths-General
Maths-
Evaluate 8.6 × 10-4 - 4.2 × 10-7
Evaluate 8.6 × 10-4 - 4.2 × 10-7
Maths-General
Maths-
A rectangular field has its length and breadth in the ratio 5 : 3. Its area is 3.75 hectares. Find the cost of fencing it at ~ 5 per metre.
A rectangular field has its length and breadth in the ratio 5 : 3. Its area is 3.75 hectares. Find the cost of fencing it at ~ 5 per metre.
Maths-General
Maths-
What additional information is necessary to prove that the triangles ABC and XYZ are congruent by HL-Congruence theorem?
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)
What additional information is necessary to prove that the triangles ABC and XYZ are congruent by HL-Congruence theorem?
![](data:image/png;base64,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)
Maths-General
Maths-
Find the value of ( 50 - 40) x 8-1
Find the value of ( 50 - 40) x 8-1
Maths-General
Maths-
Are the given triangles congruent? Explain why or why not.
![](data:image/png;base64,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)
Are the given triangles congruent? Explain why or why not.
![](data:image/png;base64,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)
Maths-General