1. cylinder to cone:
  (πr^2h)/((1/3)πr^2h) = 3:1
2. sphere to cylinder:
  ((4/3)πr^3)/(πr^2h) = 4r:3h
3. cone to sphere:
  ((1/3)πr^2h)/((4/3)πr^3) = h:4r
4. hemisphere to cylinder:
  half the ratio of sphere to cylinder = 2r:3h
        
             
        
        
        
Answer:  195.5 or 12 7/32
Step-by-step explanation:
There is no letter tetha in the table so I use α instead. However it is not sence to final result.
The expression is:
(sinα+cosα)/(cosα*(1-cosα))
Lets divide the nominator and denominator by cosα
(sinα/cosα+cosα/cosα)/(cosα*(1-cosα)/cosα)= (tanα+1)/(1-cosα)=
=(8/15+1)/(1-cosα)= 23/(15*(1-cosα))    (1)
As known cos²α=1-sin²α   (divide by cos²α both sides of equation)
cos²a/cos²α=1/cos²α-sin²α/cos²α
1=1/cos²α-tg²α
1/cos²α=1+tg²α
cos²α=1/(1+tg²α)
cosα=sqrt(1/(1+tg²α))= +-sqrt(1/(1+64/225))=+-sqrt(225/(225+64))=
=+-sqrt(225/289)=+-15/17   (2)
Substitute in (1) cosα  by (2):
1st use cosα=15/17
1) 23/(15*(1-cosα)) =23/(15*(1-15/17))= 23*17/2=195.5
2-nd use cosα=-15/17
2)23/(15*(1-cosα)) =23/(15*(1+15/17))= 23*17/32=12 7/32
 
        
             
        
        
        
Answer: Choice C) Multiplication property of inequalityThe rule basically says that if you start with a < b and you multiply both sides by some positive number c, then a*c < b*c. The sign doesn't flip if you multiply both sides by a positive number. 
The sign will flip if c is negative. So we'll go from a < b to a*c > b*c if c is negative.
Example 1:
1 < 5
-2 > -10 ... multiplied both sides by -2; sign flips
Example 2: 
3 < 7
9 < 21 ... multiplied both sides by 3; sign does not flip
Similar rules apply to a > b, 

 and 
 
        
             
        
        
        
Answer:
11 and 5/16
Hope this answers your question
 
        
                    
             
        
        
        
Answer:
-1 :)
Step-by-step explanation: