Find all angles, 0°< A<360°, that satisfy the equation below, to the nearest tenth of a degree (if necessary).
3 tan A+75 = 0

143.3 degrees and 323.3 degrees

Step-by-step explanation:

Given the equation

3tanA +√5 = 0

3tanA = -√5

tanA =-√5/3

tanA = (-0.7454)

A = arctan(-0.7453)

A = -36.699

Since tan is negative in 2nd and 4th quadrant

A = 180 - 36.699

A = 143.3 degrees

In the fourth quadrant

A = 360 - 36.699

A = 323.3degrees

Hence the value of A that satisfies the equation are 143.3 degrees and 323.3 degrees

6 hours 48 min

step-by-step explanation:

68÷5=13.6

13.6×30=408min=6 hours 48 min.

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