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
Serga [27]
3 years ago
10

We are given the description of an enclosure that has fencing on 3 sides and can use 3,056 yards of fencing. We are to find the

dimensions that will maximize the area contained within the fence. A rectangle formed along a straight portion of a river. The rectangle is formed by the river (a long side), a long side of fence labeled y, and two short sides of fence labeled x. Let y represent the length of fence that is opposite the river and x represent the length of each length of fence perpendicular to the river. As there are 3,056 yards of fencing available, the sum of the lengths of the sides of the enclosure results in
Physics
1 answer:
shusha [124]3 years ago
5 0

Answer:

The sum of the lengths of the sides is 2292 yards and the sum of the lengths of the triangle is 3056 yards

Explanation:

Since y represents the length of fence that is opposite (parallel) to the river and x represent the length of fence perpendicular to the river.

Therefore since we can use 3,056 yards of fencing

Side perpendicular to the river = x and,

Side opposite to the river = y = 3056 - 2x

The area of the rectangle formed (A) = Perpendicular side × Parallel side

∴ A = x(3056 - 2x) = 3056x - 2x²

A = 3056x - 2x²

To maximize the area, A' (dA/dx) = 0

∴ A' = 3056 - 4x = 0

3056 - 4x = 0

4x = 3056

x = 764 yards

y =  3056 - 2x = 3056 - 2(764) = 1528 yards.

Side perpendicular to the river = 764 yards and,

Side opposite to the river = 1528 yards

The sum of the lengths of the sides = 764 + 1528 = 2292 yard and the sum of the lengths of the triangle = 764 + 764 + 1528 = 3056 yards

You might be interested in
Which of the following is the best definition of lifestyle activity?
Bezzdna [24]
It d bro it’s d bro it’s d
3 0
3 years ago
How many atoms are in one mole of potassium​
Svetach [21]
Answer : 6.022• 10^23 atoms of potassium
5 0
3 years ago
Two rigid rods are oriented parallel to each other and to the ground. The rods carry the same current in the same direction. The
Galina-37 [17]

Answer:

220 A

Explanation:

The magnetic force on the floating rod due to the rod held close to the ground is F = BI₁L where B = magnetic field due to rod held close the ground = μ₀I₂/2πd where μ₀ = permeability of free space = 4π × 10⁻⁷ H/m, I₂ = current in rod close to ground and d = distance between both rods = 11 mm = 0.011 m. Also, I₁ = current in floating rod and L = length of rod = 1.1 m.

So, F = BI₁L

F = (μ₀I₂/2πd)I₁L

F = μ₀I₁I₂L/2πd

Given that the current in the rods are the same, I₁ = I₂ = I

So,

F = μ₀I²L/2πd

Now, the magnetic force on the floating rod equals its weight , W = mg where m = mass of rod = 0.10kg and g = acceleration due to gravity = 9.8 m/s²

So, F = W

μ₀I²L/2πd = mg

making I subject of the formula, we have

I² = 2πdmg/μ₀L

I = √(2πdmg/μ₀L)

substituting the values of the variables into the equation, we have

I = √(2π × 0.011 m × 0.1 kg × 9.8 m/s²/[4π × 10⁻⁷ H/m × 1.1 m])

I = √(0.01078 kgm²/s²/[2 × 10⁻⁷ H/m × 1.1 m])

I = √(0.01078 kgm²/s²/[2.2 × 10⁻⁷ H])

I = √(0.0049 × 10⁷kgm²/s²H)

I = √(0.049 × 10⁶kgm²/s²H)

I = 0.22 × 10³ A

I = 220 A

7 0
3 years ago
It's time for Santa to deliver his presents. Assuming he delivers presents all over the world, he has to travel about 75,000,000
algol13
2,419,354.8387960000
5 0
3 years ago
If the mass of the body is doubled what should be its speed so as to maintain the same kinetic energy ?​
soldier1979 [14.2K]

Answer:

The speed should be reduced by 1/√2 or 0.707 times

Explanation:

The relationship between the kinetic energy, mass and velocity can be represented by the following equation:

K.E = ½m.v²

In this equation, the mass is inversely proportional to the square of the velocity or speed. This means that as the mass increases, the speed reduces by × 2.

Let; initial mass = m1

Final mass = m2

Initial velocity = v1

Final velocity = v2

According to the question, if the mass of the body is doubled i.e. m2 = 2m

½m1v1² = ½m2v2²

½ × m × v1² = ½ × 2m × v2²

Multiply both sides by 2

(½ × m × v1²)2 = (½ × 2m × v2²)2

m × v1² = 2m × v2²

Divide both sides by m

v1² = 2v2²

Divide both sides by 2

v1²/2= v2²

Square root both sides

√v1²/2= √v2²

v1/√2 = v2

v2 = 1/√2 v1

This shows that to maintain the same kinetic energy if the mass is doubled, the speed should be reduced by 1/√2 or 0.707 times.

8 0
3 years ago
Other questions:
  • The unusually bright centers found in some galaxies are called ______.
    9·1 answer
  • A purse at radius 2.30 m and a wallet at radius 3.45 m travel in uniform circular motion on the floor of a merry-go-round as the
    11·1 answer
  • Can someone please explain the quantum theory in simple terms
    13·1 answer
  • A 1.70 kg block slides on a horizontal, frictionless surface until it encounters a spring with a force constant of 955 N/m. The
    5·1 answer
  • you are standing on top of a 344 m tall building. A drone operated by your friend is headed straight down, at a speed of 37.0 m/
    5·1 answer
  • Two balloons are charged with an identical quantity and type of charge: -4 nc They are held apart at a separation distance of 70
    8·1 answer
  • What is a middle c site
    9·1 answer
  • Which elements will have chemical properties similar to NE (neon)?
    15·1 answer
  • Pics pls you know what I mean
    15·1 answer
  • In this unit, the amount of solute is measured in?
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!