Answer: 18.85 units^3
Step-by-step explanation:
V = 3.14 x r^2 x h/3
Answer:
6 cm
Step-by-step explanation:
Volume of a Prism = base area x height =
Base area = length x width = 12 x 2 = 24 cm^2
Volume = 24 x 3 = 72 cm^3
Volume of a pyramid = 1/3( l x w x h)
72 = 1/3( 6x6 x h)
Multiply both sides of the equation by 3
216 = 36 x h
divide both sides by 36
h = 6
Answer:
25,31,37
Step-by-step explanation:
n should be positive integer number. The three numbers in both sequences have different term number n but same value. We can equalize each nth term in the question to "a" which represents one of the three numbers.
a=2n-1, then n=(a+1)/2
a=3n+1, then n=(a-1)/3
remember the two n above are different but both should be positive integer. That means, we have to find the "a" number that gives me an integer n for the first equation. The possible numbers between 20 to 40 are 22,25,28,31,34,37,40.
The possible numbers for the second equation are 21,23,25,27,29,31,33,35,37,39.
Now find the common numbers between the two sets above. They are 25,31,37
Option A. ![\sqrt[5]{\left(32 a^{10} b^{\frac{5}{2}}\right)^{2}}](https://tex.z-dn.net/?f=%5Csqrt%5B5%5D%7B%5Cleft%2832%20a%5E%7B10%7D%20b%5E%7B%5Cfrac%7B5%7D%7B2%7D%7D%5Cright%29%5E%7B2%7D%7D)
is the correct radical form.
Step-by-step explanation:
Step 1:
The numerator of the exponential is kept where it is whereas when converting an exponential into a radical, the denominator becomes the root of the variable.
The numerator of the exponential is 2 while the denominator is 5.
Step 2:
So the numerator is kept where it is while the denominator, 5 becomes the root of the variable.
Out of the given options, options 2, 3 and 4 have square roots so they cannot be the answers. Option 1 has a root to the power of 5, so it is the correct radical form.
So option 1 is the right answer.
