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Find the Exact Value of the Expression Using the Provided m\mathrm { m }

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Find the exact value of the expression using the provided information.
-An airplane flying faster than the speed of sound creates sound waves that form a cone. If vertex angle of the cone and m\mathrm { m } is the Mach number for the speed of the plane, then sinθ2=m\sin \frac { \theta } { 2 } = \mathrm { m } (m>1) ( \mathrm { m } > 1 ) . Find the Mach number to the nearest tenth if θ=30\theta = 30 ^ { \circ } .

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Definitions:

Lower Limb

Refers to the portion of the body from the hip to the toes, including the thigh, leg, ankle, and foot.

Posterior Side

The back or rear part of the body or an object, opposite of anterior.

Agonist

A substance that binds to a receptor and activates it, often mimicking the action of a naturally occurring substance.

Antagonist

A substance that impedes or counteracts the action of another, especially a muscle that opposes the action of another muscle.

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