three numbers are in the ratio 2:3:5 and the sum of their
squares is 152, what will be their sum ?
Answers were Sorted based on User's Feedback
Answer / jerry
ratio of three numbers is 2:3:5. First add the numbers (as
can be done with any ratio) 2+3+5=10, therefore: let y be
each ratio.
y1/10=x^2/152
y1*(152)/10 = x^2
y1*(15.2)=x^2, the same for the other three numbers in ratio
Now substitute each ratio number:
2*(15.2)=x1^2=30.4, x=(30.4)^1/2 = 5.5136195
to five sigficant digits, now the next numbers in ratio
3*(15.2)=x2=(45.6)^1/2
5*(15.2)=x3=(76)^1/2
X1=5.5136195
X2=6.7527772
X3=8.7177978
What will their sum be?:
X1+X2+X3=5.5136195+6.7527772+8.7177978= 20.9841945
X1^2+X2^2+X3^2=152
also note sum of squares:
(5.5136195)^2+(6.7527772)^2+(8.7177978)^2=152
Also note:
30.4+45.6+76=152 because these are the squares of the above
sum of squares.ex. 30.4 =(5.5136195)^2
also note:
30.4:45.6:76 is the ratio of the X's above
then division by 30.4:
1:1.5:2.5
then multiply by 2:
2:3:5 =>have check answer as requested
Is This Answer Correct ? | 6 Yes | 3 No |
Answer / shantha meena
the nos are 2x,3x,5x.
4x^2+9x^2+16x^2=152
38x^2=152
x^2=4
so x=2.
sum=2x+3x+5x
=2*2+3*2+5*2=4+6+10
sum=20.
Is This Answer Correct ? | 3 Yes | 1 No |
There is a square of side 6cm . A circle is inscribed inside the square. Find the ratio of the area of circle to square.
0 Answers 3i Infotech, Canara Bank, iSoft,
a number of subsets of a set s is 128, then s has
Person who dicided to go to weekend trip should not exceed 8 hrs driving in a day. Average speed of forward journey is 40 miles/hour . Due to traffic in sundays ,in return journey average speed is 30mph.How far he can select a picnic spot?
The cost of four dozen proof machine ribbons and five dozen accounting machine ribbons was Rs.160/-. If one dozen accounting machine ribbons cost Rs.20/-, what is the cost of a dozen proof machine ribbons?
A man travels 3 miles due north, then travels 8 miles due east and further travels 3 miles due north. How far is he from the starting point? 1) 14 miles 2) 10 miles 3) 100 miles 4) 15 miles
2.) The payment P(n) that a person receives is a function of the day n. If P(n) = 2 × P(n - 1) and the person receives Rs.12 on the day two, then what is the total payment received by a person for 10 days starting from the day one
hi i am going to write SBI Technical Executives entrance exam.pls help me out in clearing thisexam.kindly proivde me the question papers..
No of financial emergency announced by president
A company installed 36 machines at the beginning of the year. In March they installed 9 additional machines and then disconnected 18 in August. How many were still installed at the end of the year.
A school have 30% from MAHARASTRA .Out of this 20% from BOMBAY students. Find the total percentage of BOMBAY
Glida can grade t tests 1/x hours at this rate how many testys can she grade in s hours
If A, B and C are the mechanisms used separately to reduce the wastage of fuel by 30%, 20% and 10%. What will be the fuel economy if they were used combined.