The value that the variable can be to be a solution to the inequality is if the variable represents -6, values of -9 and -8 are smaller than -7 as they appear even further away from zero.
Answer:
3 sqrt(3) =x
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
cos theta = adj / hyp
cos 30 = x/6
6 cos 30 = x
6 ( sqrt(3)/2) = x
3 sqrt(3) =x
Answer:
Step-by-step explanation:
the volume of a cylinder is given by:
and the volume of a cone is given by:
since both have the same height and radius, we can solve each equation for 
(because this quantity is the same in both figures) and then match the expressions we find:
from the cylinder's volume formula:
and from the cone's volume formula:
matching the two previous expressions:
we solve for the volume of a cone 
:
substituting the value of the cylinder's volume 
Distribute the .15 on the right side to get:
20 + .5x + 3 + .075x
Then, combine like terms (add numbers together and add x terms together):
.575x + 23
...and that's your final answer!
3x+75=180( cause supplementary angles)
-75 -75
3x=105
3x/3= 105/3
x=35
