Ques:- The sides of a triangle are in the ratio 5: 12: 13 and its perimeter is 300 m, Evaluate the area of the triangle ?
Recent Answer : Added by Tushar Singh On 2022-03-09 16:33:29:
As it is a right angled triangle so we know the hypotenuse must be 13 and 5 & 13 are base and height (in any order).
Area of triangle = 0.5* base * height = 0.5 * 5 * 12 = 30
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Ques:- The cost of 17 apples, 9 oranges , 13 bananas is rs 130 , whereas cost of 13 oranges, 7 apples and 10 bananas is rs 100. find the cost of 1 apple , 1 banana and 1 orange put together?
Recent Answer : Added by Admin On 2022-09-27 18:08:58:
Let cost for apple be a Cost for banana be b and Orange be c
So by first value expression becomes 17a + 13b + 9c =130 ———-1 therefore if you further solve a = (130 – 13b – 9c)/17 ———- 2 the second expression becomes: 13c + 7a + 10b = 100 ———- 3 If you put value of a in second expression it becomes: 13c + 7[(130 – 3b – 9c)/17] +10b = 100
Further if you solve you get value of b:
b = 10 – 2c ———-4
put value of b from 4 in 1
17a + 13 [10 – 2c] + 9c = 130
Further if you solve you find value of a
a = c ———-5
Put 5 in 3
13c + 7c + 10b = 100
further solve you get: c = 1 ———-6
from 5 and 6
a = c = 1 ———-7
Substitute value of c in expression 4
b = 10 – 2c b = 10 -2 * 1 b = 8 ———-8
therefore a + b + c = 10
Ques:- there is number X in decimal represntation whose last digit is not 0. if digits of X are reversed then we obtain new number say Y. both X and Y are divisible by 7. then find all such X from 10 to 1000.
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77
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As it is a right angled triangle so we know the hypotenuse must be 13 and 5 & 13 are base and height (in any order).
Area of triangle = 0.5* base * height = 0.5 * 5 * 12 = 30