Answer:
Step-by-step explanation:
Euler's formula is
V - E + F = 2
Givens
V = 15
E = 15
F = ?
Solution
15 - 15 + F = 2
F = 2
I'm not sure this makes sense, but it is what the formula gives you.
 
        
             
        
        
        
Answer:
dividing is always the last step
Step-by-step explanation:
 
        
                    
             
        
        
        
Who says V1=V2?
if we simplify we get
(2/3)pir₁³=12pir₂²
for V1 to equal V2
a.
solve for r₁ to find r₁ as a function of r₂
(2/3)pir₁³=12pir₂²
times 3/2 both sides and divide by pi
r₁³=18r₂²
cube root both sides
r₁=∛(18r₂²)
if solve for r₂
(2/3)pir₁³=12pir₂²
divide by 12pi both sides
(1/18)r₁³=r₂²
squer root both sides
√((1/18)r₁³)=r₂
double radius of pond which is r1
√((1/18)r₁³)=r₂
r₁ turns to 2r₁ to double radius
√((1/18)(2r₁)³)=r₂double
√(8(1/18)(r₁)³)=r₂double
(√8)(√((1/18)(r₁)³))=r₂double
√((1/18)r₁³)=r₂ so
(√8)(r₂)=r₂double
(2√2)(r₂)=r₂double
the radius of the tank is multipled by 2√2
        
             
        
        
        
Answer:
Supplementary
Step-by-step explanation:
135+45 =180 
So Option C