Answer:
x ≈ 17.14
Step-by-step explanation:
Using the tangent ratio in the right triangle
tan35° =
=
( multiply both sides by x )
x × tan35° = 12 ( divide both sides by tan35° )
x =
≈ 17.14 ( to the nearest tenth )
The correct answer should be 7.34*10^-3
Answer: B) ![4\pi \text{ radians per sec }](https://tex.z-dn.net/?f=4%5Cpi%20%5Ctext%7B%20radians%20per%20sec%20%7D)
Step-by-step explanation:
![\text{Angular velocity} = \frac{\text{ linear velocity}}{\text{radius}}](https://tex.z-dn.net/?f=%5Ctext%7BAngular%20velocity%7D%20%3D%20%5Cfrac%7B%5Ctext%7B%20linear%20velocity%7D%7D%7B%5Ctext%7Bradius%7D%7D)
Since, the wheel covers a distance of
inches in one second.
Thus, its linear velocity =
Also, the radius of wheel = 10 inches,
Hence its angular velocity = ![\frac{40\pi}{10} = 4\pi\text{ radians per sec}](https://tex.z-dn.net/?f=%5Cfrac%7B40%5Cpi%7D%7B10%7D%20%3D%204%5Cpi%5Ctext%7B%20radians%20per%20sec%7D)
⇒ Option B is correct.
3/4 = 0.75
2/5 = 0.4
0.4 < 0.75
Therefore,
2/5 < 3/4