a central Angle of a circle of radius 50cm intercept an arc of 10cm. express the central Angle in radian an degrees

 π/5 = 36°

Step-by-step explanation:

The formula for the arc length of a circle is:   s = r Ф   (Ф must be in radians)

Given: s = 10, r = 50

s = r Ф

10 = 50 Ф

(1/5)π = Ф     (We include π because it must be in radians)

Convert into degrees using the proportion π = 180°

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