Answer:
Step-by-step explanation:
R=4x+3
H=3x+6
Volume of a cylinder= Πr²h
inserting the parameters
v=π(4x+3)²(3x+6)
v=π(16x²+24x+9)(3x+6)
V=π[3x(16x²+24x+9) +6(16x²+24x+9)]
v=Π(48x³+72x²+27x+96x²+144x+54)
v=π(48x³+168x²+171x+54)m³
Answer:

Step-by-step explanation:
This expression was kind of trial and error for me seeing as I'm not really good at logic, but this is pretty basic. There are three possible places the parentheses can be placed (assuming each pair holds 2 terms);
The answer to the first expression would be 45, which is not equal to 11.
The answer to the second expression would be 15, which is also not equal to 11.
The answer to the last expression is 11, so that is the correct answer.
Hope this helped :D
- Shay
Answer:
C, 20 units
Step-by-step explanation:
We see that both angles QRS and QTR are 90 degrees. In addition, angles SQR and RQT are equivalent (because they're both angle Q).
By AA Similarity, we know that triangle QTR is similar to triangle QRS.
With this similarity in mind, we can look at the ratios of corresponding lengths to set up a proportion. QR from triangle QTR is the hypotenuse, and it corresponds to hypotenuse QS from triangle QRS. So, we can write the ratio x/(9 + 16) = x/25.
Now, we see that long leg QT of triangle QTR corresponds to long leg QR of triangle QRS. So, another ratio we can write is: 16/x.
Finally, we set these two ratios equal to each other:

Cross-multiplying, we get:
.
Thus, x =
. The answer is C, 20 units.
Hope this helps!