First of all, let's convert all the measures to the same unit: 4 feet are 48 inches.
Now, as the wheel turns, there is a proportion between the angle and the distance travelled: for example, when the car moves forward a whole circumference, the angle will be 360°. Conversely, if the wheel turns 180°, then the car will move forward a distance which is half the circumference of the wheel, and so on.
Since the radius is 16 inches, the circumference will be
So, we have the following proportion:
that you can read as: "if an angle of 360 corresponds to a distance travelled of 
, then the unknown angle x corresponds to a distance travelled of 48 inches.
Solving for x, we have
Answer:
(6x+5)(9x-2)
Step-by-step explanation:
Area = Length x Width
It would equal a even number
2 inches in length for ever inch in width. This is because the points are (1,2),(2,4),(3,6) and many more like that. Every x coordinate goes up by one while every y coordinate goes up by two. When you do the y coordinate divided by the x coordinate for all of them, you get two. Two is the constant of proportionality
Answer:
t (years)= (10log 20/log 1000) in base 10
Step-by-step explanation:
N = 5 × 10^0.3t
N = 100 branches
100 = 5 × 10^0.3t
100/5 = 10^0.3t
20 = 10^0.3t
Taking log of both sides
Log 20 base 10 = 0.3t
Log 20 base 10 = (3/10)t
Multiply both sides by 10
10log 20 base 10 = 3t
Recall, log 1000 base 10 = 3
10 Log 20 base 10 = (log 1000 base 10)×t
t = (10Log 20 base 10)/(log 1000 base 10)
t (years)= (10log 20/log 1000) in base 10
The number of years it will take for the tree to have 100branches is (10log 20/log 1000) in base 10
