What is m N
to the nearest degree?

A
16°
B
17°
C
63°
D
73°

9514 1404 393

  B.  17°

Step-by-step explanation:

The mnemonic SOH CAH TOA reminds you of the relations between angles and sides. Here, the relevant relation is ...

  Sin = Opposite/Hypotenuse

  sin(N) = PQ/PN

  sin(N) = 4/14

  N = arcsin(4/14) ≈ 16.6° . . . . use the inverse function to find the angle

  N ≈ 17°

x =-.20752

step-by-step explanation:

4^(x+2)=12

4^(x+2)=12

take the log base 4 on each side

log 4 (4^(x+2) = log 4(12)

we know log b(a^y) = y log b (a)

(x+2) log 4(4) = log 4 (12)

x+2 = log 4 (12)

we know   logb c = loga c/loga b

we want to convert to base 10   so a = 10

by default, we do not write the 10   c = 4   and b = 10

log4 10 = log 12/log 4

log4 10 = log 12/ log 4

x+2 = log 12/ log 4

subtract 2 from each side

x +2 -2 = log 12/ log 4 -2

x = 1.79248125 -2

x =-.20752

2

step-by-step explanation: