Answered

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Which represents the value of c?
C=
(3) sin(40%)
sin (45°)
c=
(3) sin(45°)
sin (40%)
c=
sin(40%)
(3) sin(45°)
c=
sin(45°)
(3) sin(40%)

Which Represents The Value Of C C 3 Sin40 Sin 45 C 3 Sin45 Sin 40 C Sin40 3 Sin45 C Sin45 3 Sin40 class=

Sagot :

livinqq1
B. c = ((3)sin45°)/sin40°

Side a is given information: 3cm, and we can find angle A (which is the angle opposite side a) by subtracting the other two angles from 180 because the total interior angle measures of a triangle add to equal 180°.

Angle A = 180 - (95+45) = 40°.
This can be substituted into the equation for the law of sines.

sin(40)°/3 = sin(45)°/c
—Cross multiply
c•sin(40)° = 3•sin(45)°
—divide both sides by sin40 to get the variable c alone and we get:
c = (3)sin(45°)/sin(40°)

this also simplifies to 3.3 cm.
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