Answer:
The diameter is 22.92 inches
Step-by-step explanation:
Hello, I can help you with this question
in this case we know the circumference of a circle, and we need to find out the diameter.
let's remember
the radius of a circle can be defined as
![radius=\frac{diameter}{2}\\ or\\diameter=2* radius( equation\ 1)\\](https://tex.z-dn.net/?f=radius%3D%5Cfrac%7Bdiameter%7D%7B2%7D%5C%5C%20or%5C%5Cdiameter%3D2%2A%20radius%28%20equation%5C%201%29%5C%5C)
also
![circumference=2*\pi *radius(equation2)\\](https://tex.z-dn.net/?f=circumference%3D2%2A%5Cpi%20%20%2Aradius%28equation2%29%5C%5C)
Step1
replace the value of the circumference of tyler's bike in equation 2 and isolate radius to find radius
![72 inches=2*\pi *radius\\\\radius=\frac{72}{2*\pi } \radius =11.46\ inches](https://tex.z-dn.net/?f=72%20inches%3D2%2A%5Cpi%20%20%2Aradius%5C%5C%5C%5Cradius%3D%5Cfrac%7B72%7D%7B2%2A%5Cpi%20%20%7D%20%5Cradius%20%3D11.46%5C%20inches)
Step 2
now, replace the value of radius into equation 1 to find diameter
radius=11.46 in
![diameter=2* radius( equation\ 1)\\\\diameter=2*11.46\\diameter=22.92](https://tex.z-dn.net/?f=diameter%3D2%2A%20radius%28%20equation%5C%201%29%5C%5C%5C%5Cdiameter%3D2%2A11.46%5C%5Cdiameter%3D22.92)
so, the diameter is 22.92 inches
I really hope it helps, have a great day.
Answer:
<u>Frequency = 1/period =
</u>
Step-by-step explanation:
The frequency of the sinusoidal function = 1/period
Frequency is how many the function repeats itself per unit if time i.e: per "1"
For the given graph :
, Where: B = 2π/period
period = 2π/B , B = 1/4 = 0.25
∴ Period = 2π/0.25 = 8π
∴ Frequency = 1/period = ![\frac{1}{8\pi }](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B8%5Cpi%20%7D)
Answer:
p > 63
Step-by-step explanation:
p/7-(9)>0
p
Simplify —
7
p
— - 9 > 0
7
p - 63
—————— > 0
7
Multiply both sides by 7
Add 63 to both sides
p > 63
Answer:
7 milligrams
Step-by-step explanation: