"One rotation" would be the circumference of the wheel, which is
C = 2*pi*r, or (here) C = 2*pi*(8 inches) = 16*pi inches.
1 ft
Convert this to feet: 16*pi inches times ---------------
12 inches
Here "inches" cancels out and you are left with (4/3)pi ft.
So, one rotation of the wheel moves you and your bike forward (4/3)pi ft.
Divide this into 700 feet:
700 ft 2100
------------- = --------- rotations = 525 rotations (answer)
(4/3) pi ft 4
Answer:
The given Divisor = 21 and Dividend = 91403
43522191403847463110105534211
The Quotient is 4352 and the Remainder is 11
Y = <span>b^x
when x = 1
y = b^1
y = b
Therefore, the value of b is the same as the value of y when x =1
From the graph,
When x = 1, y = 0.5
Therefore, b = 0.5
To confirm this
From the graph,
When x = -1, y = 2
Since </span>y = b^x<span>
2 = </span>b^-1
2 = 1/b
2b = 1
b = 0.5
When x = -2, y = 4
Since y = b^x
4 = b^-2
4 = 1/(b^2)
b^2 = 1/4
b = √(1/4)
b = 1/2
b = 0.5
Therefore, it is conformed that b = 0.5
Answer: x = 40 and y = 40
Step-by-step explanation:
We can write the equation for the area as: x*y = 1600
We can write the equation for the perimeter as: 2x + 2y = 160
An easy way to solve a question like this is to graph both equations on a graphing calculator, if you don't have one on you you can use Desmos
Graph both: y = 1600/x
and
y = 80 - x
Turns out you get x = 40 and y = 40
