Answer:
2√15
Step-by-step explanation:
from your previous posting, you saw that y = 18, that means that the angle 2y + 6 is really 2(18) + 6 or namely 36 + 6 = 42°.
vertical angles, or namely angles across from each other at a junction, are always equal, so if 2y + 6 is 42°, then 8y - 102 is also 42°.
let's recall that a circle has a total of 360°, if we subtract those two vertical angles from a full circle, that'd be 360 - 42 - 42 = 276.
the angle 3x and its vertical angle twin, each take half of that 276° leftover, namely 276 ÷ 2 = 138°.
so now we know that 3x = 138, 
Answer:
The ratio of the current volume to the original one is 2.28
Step-by-step explanation:
Since the radius of the ball increased at a rate of 0.25 cm/s and Andy spent 4 seconds making it bigger, then the ball's radius increased by 4*0.25 = 1 cm. The volume of a sphere is given by:
volume = (4/3)*pi*r³
The original volume of the ball was:
volume1 = (4/3)*3.14*(3)³ = (12.56/3)*27 = 12.56*9 = 113.04 cm³
The final volume of the ball was:
volume2 = (4/3)*3.14*(3 + 1)³ = (12.56/3)*(4)³ = (12.56/3)*64 = 257.95 cm³
The ratio of the current volume of the ball to the original one is:
ratio = volume2/volume1 = 257.95/113.04 = 2.28