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
• Increased by 3
n+3
• Twice the number
2(n+3)
• Three times the number
3n
• Final result
2(n+3)-3n
Answer:
3x +4
Step-by-step explanation:
4 more= 4+
the product of 3 and x = 3 times x
=
4+ 3x
Answer:
x = 83°
Step-by-step explanation:
41, 56 and the missing angle = 180° ( form a straight angle )
missing angle = 180° - (41 + 56)° = 180° - 97° = 83°
The angle x and the missing angle are vertically opposite and congruent
Hence x = 83°
The product of 3 1/5 and 5/8 is 2.
