You ride your bicycle 40 meters. How many complete revolutions does the front wheel make?

No. of complete revolutions = 20

Step-by-step explanation:

Given:

Distance covered by the bicycle = 40 m

Radius of the bicycle wheel = 32.5 cm = 0.325 m

Conversion:

⇒

We have to find the number of revolution the front wheel make.

Let the no. of revolution be "N" .

As we know that:

Circumference times no. of revolution = Distance covered by circular objects.

Circumference = 2πr

So,

⇒

⇒

⇒ Plugging the values.

⇒  

⇒

⇒

Approximated to 20.

Number of complete revolutions,the front wheel make = 20

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

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step-by-step explanation: