The answer is n > 7. This is the answer
Answer:
125/216 or (5/6)³
Step-by-step explanation:
height of water column=5/6 ×12=10 cm
radius of water level=10/12×6=5 cm
volume of water=π ×5²×10=250 π cm³
volume of cone=π×6²×12=432 π cm³
reqd. ratio=250 π/432 π=125/216=(5/6)³
I got you, just follow my work
-2x+3=-5x+9
-2x=-5x+6
3x=6
x=2
Plug x back in
-2(2)+3= -1
y=-1
FINAL ANSWER: (2,-1)
Answer:
Part I: cot(15 degrees) = cot(45 - 30)
Part II: Evaluation is below
Step-by-step explanation:
<em>Everything is done in degrees</em>
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Two angles that differ by 15 degrees that is easy to evaluate is 30 degrees and 45 degrees. The cot(15 degrees) = cot(45 - 30) = 1/tan(45-30) = (1+tan45tan30)/(tan30 - tan45) = (1+ sqrt(3))/(sqrt(3) - 1)
We rationalize this by multiplying 1+ sqrt(3) in the top and bottom, getting:
(4 + 2sqrt(3))/2 = 2 + sqrt(3)
I hope this helps! :)
Let x = width
x+1 is then the length
2x+2(x+1)=66
2x+2x+2=66
4x=64
x=16
deck will be 16x17, nice for a BBQ. :)
