To work this out, we want to find the Lowest Common Multiple of 6 and 12
This is the smallest number that fits in both
6 x 2 = 12
12 x 1 = 12
11/12 is already over 12 so we don't need to do anything
5/6 is not - to convert it, we multiply the top and the bottom by 2
5 x 2 = 10
10/12 or 11/12
10 is smaller than 11
Therefore 5/6 is smaller than 11/12
5/6 < 11/12
11/12 is greater
Answer:
x = 5
Step-by-step explanation:
6/18 = x/(20-x)
1/3 = x/(20-x) Multiply both sides by 20-x
(20-x)/3 = x Multiply both sides by 3
20-x = 3x Add x in both sides
20 = 4x Divide both sides by 4
5 = x
The function is:
f ( x ) = x² - x - 72
This is a quatdratic function. So we can find the zeroes of the function with the formula:
x 1/2 = ( - b +/- √(b² - 4 ac) ) / ( 2a )
And we have: a = 1, b = - 1 and c = - 72
x 1/2 = ( 1 +/- √((-1)² - 4 · 1· ( - 72 )) ) / 2
x 1/2 = ( 1 +/- √( 1 + 288 ) ) / 2
x 1/2 = ( 1 +/- √289 ) / 2
x 1/2 = ( 1 +/- 17 ) / 2
x 1 = ( 1 - 17 ) 2 = - 16 / 2 = - 8
x 2 = ( 1 + 17 ) / 2 = 18 / 2 = 9
Answer: The zeroes are - 8 and 9.
sin(45degrees) or BC/AB is 1/sqrt2(that's the value of sin45 degrees I recommend you to memorize this.)
x/12=1/sqrt2
x*sqrt2=12
x=12/sqrt2
Now rationalize this fraction to make the answer more formal.
x=12sqrt2/2(I multiplied both top and bottom by sqrt2)
Now simplify
x=6sqrt2
Question done! answer is C 6 square root of 2
Hope this helped any questions just put them in the comments.
Step-by-step explanation: