.A man has a triangular plot whose side is given by `root(3)(3)(216+root(3)(1000+root(3)(1331))m`.He donated the plot for playing games for children.Find the side of equilateral plot and values depicted from this question.
Answers
Answer:
The taking by the trainees of the nearby yacht and the causing of damage to the other yacht which belonged to X ought to have been foreseen by the borstal officers as likely to occur if they failed to exercise proper control or supervision; in the particular circumstances, the officers prima facie owed a duty of care to X
The taking by the trainees of the nearby yacht and the causing of damage to the other yacht which belonged to X ought to have been foreseen by the borstal officers as likely to occur if they failed to exercise proper control or supervision; in the particular circumstances, the officers prima facie owed a duty of care to X.The borstal officers are liable as the escaped trainees were under their control and because of negligence and improper control they escaped. The trainees were the responsibility of the officers.
Step-by-step explanation:
by grouping the digits, we get 1 and 331
We know that, since, the unit digit of cube is 1, the unit digit of cube root is 1.
∴ We get 1 as unit digit of the cube root of 1331.
The cube of 1 matches with the number of second group.
∴ The ten's digit of our cube root is taken as the unit place of smallest number.
We know that, the unit’s digit of the cube of a number having digit as unit’s place 1 is 1.
\therefore \sqrt[3]{1331}=11∴
3
1331
=11
By grouping the digits, we get 4 and 913
We know that, since, the unit digit of cube is 3, the unit digit of cube root is 7.
∴ we get 7 as unit digit of the cube root of 4913.
We know 1^{3}=1 \text { and } 2^{3}=81
3
=1 and 2
3
=8 , 1 > 4 > 8.
Thus, 1 is taken as ten digit of cube root.
\therefore \sqrt[3]{4913}=17∴
3
4913
=17
By grouping the digits, we get 12 and 167.
We know that, since, the unit digit of cube is 7, the unit digit of cube root is 3.
∴ 3 is the unit digit of the cube root of 12167
We know 2^{3}=8 \text { and } 3^{3}=272
3
=8 and 3
3
=27, 8 > 12 > 27.
Thus, 2 is taken as ten digit of cube root.
\therefore \sqrt[3]{12167}=23∴
3
12167
=23
By grouping the digits, we get 32 and 768.
We know that, since, the unit digit of cube is 8, the unit digit of cube root is 2.
∴ 2 is the unit digit of the cube root of 32768.
We know 3^{3}=27 \text { and } 4^{3}=643
3
=27 and 4
3
=64, 27 > 32 > 64.
Thus, 3 is taken as ten digit of cube root.
\therefore \sqrt[3]{32768}=32∴
3
32768
=32