To multiply decimals pretend there is no decimal for example
.165*74 = 12210; then however many digits (not counting zeros) is after the decimal added together (from both numbers) so 3 so 12.21 is the answer
42/6 is 7 so do 7 * 5 which is 35 so he sold 35 tickets
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
To find the volume of a rectangular prism, we must multiply the length * width * height.
In this case,
Volume = 3 ft * 2 ft * 1 ft
= 6 ft^3
Because this tank is 2/3 full with water, to find out how much water is in the tank, we must multiply 2/3 by the total volume of the tank (6 ft^3).
2/3 * 6 ft^3 = 4 ft^3
This means that there are 4 cubic feet of water in the tank.
Hope this helps!
Answer: x=3/2
Step-by-step explanation:
