To show this number using scientific notation, you will look at where the decimal point is and imagine that in the original number. Then count the number of place values to the right of this. That will be the exponent that belongs with the 10 because that is how many place values (groups of 10s) the number has past the decimal point.
The answer is 3.31 x 10^26 light years. ^ means to the power of.
Alright so
5^4m = 5^12
cancel the bases
4m=12
divide by 4
m=3
-4.9t²+7.5t+1.8=2.1
-4.9t²+7.5t-0.3=0
t=-7.5±√(56.25-4*-4.9*-.3)/-2*4.9
t=-7.5±√(44.49/-9.8
t=(-7.5±6.67)/-9.8
t=-.83/-9.8 = .085 or t= -14.17/-9.8 = 1.446
Answer:
16m tall
Step-by-step explanation:
Distance casted by the shadow = 32m = hypotenuse
Angle of elevation = 30 degrees
Required
Height of the building = opposite
Using the SOH CAH TOA identity
sin theta = opp/hyp
sin 30 = x/32
0.5 = x/32
x = 0.5 * 32
x = 16m
Hence the building is 16m tall
