Answer:
6.708
Step-by-step explanation:
- Y varies directly as the square of x (Given)
......(1)
- Y varies inversely as the square root of z (Given)
......(2)
- Combining (1) & (2), we find:
(Where k is constant of proportionality).....(3)
- Now, when y = 2, x = 3 and z = 4, we find the value of k i.e. constant.
- Plugging the value of k in (3), we find:
....(4)
- Next, in equation (4), plug y = 5, x = n and z = 16 and obtain the value of n by solving it.
Answer:
7.8 = k
Step-by-step explanation:
Since the figures are similar, we can use proportions
c k
----- = -------
b j
Substituting the values in
6.5 k
----- = -------
4 4.8
Using cross products
6.5 * 4.8 = 4k
31.2 = 4k
Divide each side by 4
31.2/4 = 4k/4
7.8 = k
Inversely variation means xy = c, where c is a constant
Since when y = 12 x = 5, then c = 12*5 = 60
So xy = 60
Now when x = 3, y = 60/3 = 20
