Volume = length * height * width
= 4 qrt3 + 3 sqrt6 * w
= 12 sqrt18 w
let w = 2 sqrt50 then volume = 2*12 * sqrt 18*50 = 24*30 so this is rational
let w = 4 sqt 12 the v = 48 sqrt12 * sqrt 18 = 48 sqrt30 which is irrational
C and D are rational
answer is B
Please write that as 60^(1/2) for greater clarity.
Our job here is to find the largest perfect square factor of 60. Note that 60 = 4*15; 4 is a perfect square, but 15 is not.
Thus, 60^(1/2) = 2sqrt(15).
27000 is halfway because the difference between them is 500. 500 divided by 2 is 250. 26750plus 250 is 27000
Answer:
Option C and D that is y= tan x and y= cot x
Step-by-step explanation:
The range is the values of y means the values that y can take in a function:
So, range of tan x and cot x are all real numbers.
Period of tan x is 
Period of cot x is 
Option A and B that is secx and csc x are discarded
This is the start to the approach that would be taken to get both variables in terms of only one so it can be solved but since the numbers are so small you could easily test out numbers and figure out that it's 6 and 10 feet.
length = width + 4
length * width = 60
(width + 4) * width = 60