Right triangle abc is shown which equation can be used to solve for c? 3 m sin(509) = 3 o sin(509= o cos(50°) = cos(509)=

The required equation can be used to solve for c is sin 50 = 3/c

From the figure shown, the measured sides are:

USing the SOH CAH TOA identity

sin theta = opp/hyp

sin 50 = 3/c

Hence the required equation can be used to solve for c is sin 50 = 3/c

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Step-by-step explanation:

The given triangle is a right triangle with a given angle which is .

The side opposite to the 50 degree angle is 3 meters.

The hypotenuse is 'c' units.

We can use the sine ratio to obtain:

Therefore the correct answer is A.

step-by-step explanation:

we are given a graph for system of inequalities.

in order to write the system of inequalities for the given graph, we need to find the inequality for each of the line separately.

let us find the slope of dotted line first.

taking two coordinates on the graph.

let us say (0,0) and (3,1).

let us find the slope of the line now.

slope of the dotted line would be =.

y-intercept of dotted line is y=0 only.

plugging slope m= and b=0 in slope-intercept form y=mx+b, we get

.

the line is shaded up of that dotted line.

therefore, for shading up we would take greater than inequality symbol > .

and because it's a dotted line we would take only > symbol in place of = sign in above equation of line.

therefore, inequality for dotted line would be

let us take two points (3,1) and (0,4) on the solid line.

slope of the solid line would be =.

for the solid line we have y-intercept b= 4.

plugging slope m= -1 and b=4 in slope-intercept form y=mx+b, we get

y = -1x + 4.

the line is shaded down of that solid line.

therefore, for shading down we would take less than inequality symbol < .

and because it's a solid line we would take ≤ symbol in place of = sign in above equation of line.

therefore, inequality for solid line would be