1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
EleoNora [17]
3 years ago
11

it takes a hose 4 minutes to fill a rectangular aquarium 9 inches long, 13 inces wide, and 14 inces tall. how long will it take

the same hose to fill an aquarium measuring 21 inces by 25 inces by 34 inces?
Physics
1 answer:
Studentka2010 [4]3 years ago
4 0

Answer: 43.58 min

Explanation:

Knowing the volume of a rectangular object is length x width x height, we have two volumes:

V_{1}=(9 in)(13 in)(14 in)=1638 in^{3}

V_{2}=(21 in)(25 in)(34 in)=17850 in^{3}

And we know it takes a time of 4 minutes to fill V_{1}.

If we want to know how long will it take the same hose to fill another tank with volume V_{2}, we can use the <u>Rule of three</u>, which is a mathematical rule to find out an amount that is with another quantity given in the same relation as other two also known:

1638in^{3} ---- 4min

17850in^{3} ---- ?

?=\frac{(17850 in^{3})(4min)}{1638 in^{3}}

Finally:

?=43.58 min

You might be interested in
If Frequency F, velocity v, and density D are considered fundamental units, the dimensional formula for momentum will be :
gizmo_the_mogwai [7]

Let's see

Momentum be P

\\ \rm\Rrightarrow P=[Frequency]^a[velocity]^b[Density]^c

\\ \rm\Rrightarrow [P]=[F]^a[v]^b[D]^c

\\ \rm\Rrightarrow [M^1L^1T^{-1}]=[T^{-1}]^a[L^1T^{-1}]^b[M^1L^{-3}]^c

\\ \rm\Rrightarrow MLT^{-1}=T^{-a}L^bT^{-b}M^cL^{-3c}

\\ \rm\Rrightarrow MLT^{-1}=T^{-a-b}L^{b-3c}M^c

On comaparing

  • c=1

So

  • b-3c=1
  • b-3=1
  • b=1+3
  • b=4

and

  • -a-b=-1
  • -a-4=-1
  • -a=-1+4=3
  • a=-3

So the unit is

  • DV⁴/F³
5 0
2 years ago
Read 2 more answers
Why is the escape speed for a spacecraft independent of the spacecraft's mass?
scoray [572]
In order to escape the gravitational pull of our planet, any object must have an escape velocity of 7 km/s  or more, anything lower than that will be slowed down by the pull of gravity, and will eventually returned to the surface of our planet. It is independent of mass, any lighter or heavier object must attain the required escaped velocity to reach space.
7 0
3 years ago
What is the average velocity of a car if it travels from position 25m to a position of -7m in 34 seconds?
zubka84 [21]

Answer:

vp = 0.94 m/s

Explanation

Formula

Vp = position/ time

position: Initial position - Final position

Position = 25 m - (-7 m) = 25 m + 7 m = 32 m

Then

Vp = 32 m / 34 seconds

Vp = 0.94 m/s

6 0
3 years ago
Read 2 more answers
Water falls without splashing at a rate of 0.370 l/s from a height of 2.90 m into a 0.690-kg bucket on a scale. if the bucket is
raketka [301]
<span>R = rate of flow = 0.370 L/s H = height = 2.9 m T= time = 3.9 s V = velocity of water when it hits the bucket = sqrt(2gh) = sqrt(2 x 9.8 x 2.9) =7.539 m/s2 G value = 9.8 m/s2 Wb = weight of bucket = 0.690 kg x 9.8 m/s2 = 6.762 N Wa = weight of accumulated water after 3.9 s Fi = force of impact of water on the bucket S = reading on the scale = Wa + Wb + Fi mass of water accumulated after 3.9 s = R x T = 0.370 x 3.9 = 1.443 L = 1.443 kg Therefore, Wa = 1.443 x 9.8 = 14.1414 N Fi = rate of change of momentum at the impact point = R x V (because R = dm/dt) = 0.37 x 7.539 = 2.78943 N S = 14.1414 + 6.762 + 2.78943 = 23.692 N</span>
8 0
3 years ago
The two types of vitamins are fat and water soluble?
lianna [129]
Its true hopefully this helps you.
4 0
3 years ago
Other questions:
  • When 15 newtons of force is applied to the 0.5 kg book, the friction keeps the book from sliding down the wall. What is the mini
    10·2 answers
  • The internal energy of a system....
    12·1 answer
  • What to do if carbon monoxide detector is going off
    9·1 answer
  • At what distance must a star be to have its apparent magnitude equal to its absolute magnitude?
    15·1 answer
  • The gravitional energy of an object is always measured realative to the ?
    9·2 answers
  • Coulomb is a very large unit for practical use. Justify your answer if 10^10 electrons are transferred from a body/second
    10·1 answer
  • Olaf is standing on a sheet of ice that covers the football stadium parking lot in Buffalo, New York; there is negligible fricti
    12·1 answer
  • A vibrating pendulum makes 20 complete vibrations in 12.2 seconds. Determine the vibrational period of the pendulum, along with
    6·1 answer
  • Q3. Recall the equation that links gravitational field<br> strength, mass and weight
    7·1 answer
  • How are energy, force, and the motion of objects related?
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!