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8_murik_8 [283]
3 years ago
15

A 2 feet piece of wire is cut into two pieces and once a piece is bent into a square and the other is bent into an equilateral t

riangle. Where should the wire cut so that the total enclosed area by both shapes is at the maximum?
Physics
1 answer:
SpyIntel [72]3 years ago
3 0

Answer:

Explanation:

Let x ft be used to make square and 2-x ft be used to make equilateral triangle.

each side of square = x/4

area of square = ( x /4 )²

Each side of triangle

= (2-x) /3

Area of triangle = 1/2 (2-x)²/9 sin 60

= √3 / 36 x (2-x)²

Total area

A = ( x /4 )² +√3 / 36 (2-x)²

For maximum area

dA/dx = 0

1/16( 2x ) -√3 / 36 x2(2-x) = 0

x / 8 - √3(2-x)/ 18 = 0

x / 8 - √3/9 + √3/18 x = 0

x ( 1/8 + √3/18 ) = √3/9

x(.125 +.096 ) = .192

x = .868 ft

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Charlie Brown kicks a football at 24.5 m/s at 35.0. What is the maximum height of the ball?
lozanna [386]

Answer:

d = 10.076 m

Explanation:

We need to obtain the velocity of the ball in the y direction

Vy  = 24.5m/s * sin(35) = 14.053 m/s

To obtain the distance, we use the formula

vf^2 = v0^2 -2*g*d

but vf = 0

d = -vo^2/2g

d = (14.053)^2/2*(9.8) = 10.076 m

5 0
3 years ago
The movement of protons through atp synthase occurs from the
Lera25 [3.4K]

Answer:

cytoplasm and channel gates

Explanation:

The movement originates from the cytoplasm. This is the fluid medium through which ions are shuttle from one place to another. However, though simple as it might appear to be, the movement requires carrier proteins. The are proteins that facilitate in the movement of the ions. These proteins have specially controlled gates called channel proteins. These are regulated proteins that open and close based on hydrogen ion concentration. These proteins are able to facilitate the movement of ATP molecules.

5 0
3 years ago
Ashley squirrel, named Jackie, rides on a bicycle with a constant kinetic energy of 3.6J. The mass of combination of Jackie and
yKpoI14uk [10]

The velocity of the combination of Jackie and the bicycle is 3.328 m/s.

Explanation:

From the given data the constant kinetic energy is 3.6 J. The mass of combination is 0.65 kg. To find the velocity of the combination of Jackie and the bicycle the formula  is

KE = 0.5 x mv2.

To find velocity,

V2=ke/(0.5×m)

V=\sqrt{(ke/(0.5*m)

v= 3.6/(0.5×0.65)

=\sqrt (11077/10)/10

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Hence, the velocity of the combination of Jackie and the bicycle is 3.328m/s.

6 0
3 years ago
Read 2 more answers
Would someone just answer this?
Alecsey [184]

Answer:

I answered :)

Explanation:

i just dk the right answer

8 0
3 years ago
Please answer for me thanks
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I believe one of these are called Elliptical, Spiral, and Irregular Galaxies.

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