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A Trough Has Vertical Ends That Are Equilateral Triangles with Sides

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A trough has vertical ends that are equilateral triangles with sides of length 7ft7 \mathrm { ft } . If the trough is filled with water to a depth of 4ft4 \mathrm { ft } , find the force exerted by the water on one end of the trough. Round to one decimal place. (The weight density of water is 62.4lb/ft362.4 \mathrm { lb } / \mathrm { ft } ^ { 3 } .)

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Definitions:

Tricuspid Valve

A valve in the human heart that lies between the right atrium and the right ventricle, regulating blood flow.

Right Atrium

The upper right chamber of the heart that receives deoxygenated blood from the body and pumps it to the right ventricle.

Diastole

The phase of the heartbeat when the heart muscle relaxes and allows the chambers to fill with blood.

Systole

The stage in the heart's rhythm where the cardiac muscle tightens, forcing blood out of its chambers and into the arterial network.

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