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: the answer is B
Step-by-step explanation:
Answer:
So, this triangle PQR can be broken into two right triangles, PNQ and PNR, with legs PQ = 39, PN =15, and QN = ? and PR = 17, PN = 15, and NR =? respectively.
Let's solve for what is easier first:
Since we know that 5-15-17 is a Pythagorean triplet, we can infer that NR is 5....like I said earlier, it is a right triangle, so this guess holds true.
Here comes the interesting part:
Now, we have one part of QR, which is QN.
The other part can be solved by using the Pythagorean theorem.
It is (39^2-15^2)^(1/2)..which gives you 36, the square root of 1296, which happens to be the difference between the squares of 15 and 39.
SO, QR = QN + NR
5+36 = 41
QR = 41.
Hope this helps!
3 and 2/5 ÷ 4 and 1/3
The first step before you can divide these is that you must make them improper fractions, they cannot be mixed numbers.
3 = 3/1 = 15/5
15/5 + 2/5 = 17/5
3 and 2/5 = 17/5
4 = 4/1 = 12/3
12/3 + 1/3 = 13/3
4 and 1/3 = 13/3
Now you can divide 17/5 and 13/3.
Step 1- Turn the fraction you are dividing by into its reciprocal.
13/3 reciprocal equals 3/13
Step 2- Multiply.
17/5 • 3/13
17 • 3 = 51
5 • 13 = 65
Answer: 51/65
Step 3- Simplify if possible.
51/65
This is already in simplest form so there is no need to simplify.
So the answer is 51/65.
= 27