Zachary is making a scale model of the sydney oprera house fir a report on sydney. Tge sydney opera house is 213 feet tall measuring from the ground to thr tip of thevjighest roof shell. If thevmodel is 1/100 the actual size of the sydney operahouse, how tall is the model?

The height of Sydney opera house in the model is 2.13 feet.

Step-by-step explanation:

We are given the following in the question:

Height of Sydney opera house = 213 feet

Height in model =

We have to evaluate the height of Sydney opera house in model.

Height in model =

Thus, the height of Sydney opera house in the model is 2.13 feet.

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