The angular velocity is 16 radians per second
<u>Solution:</u>
The angular velocity of point is given by formula:
![w = \frac{v}{r}](https://tex.z-dn.net/?f=w%20%3D%20%5Cfrac%7Bv%7D%7Br%7D)
Where,
w is the angular velocity in radians
v is the linear velocity
r is the radius
Given that diameter of wheel is 10 feet
![radius=\frac{diameter}{2}](https://tex.z-dn.net/?f=radius%3D%5Cfrac%7Bdiameter%7D%7B2%7D)
![radius = \frac{10}{2}=5](https://tex.z-dn.net/?f=radius%20%3D%20%5Cfrac%7B10%7D%7B2%7D%3D5)
Thus radius is 5 feet
A point on the rim of a wheel moves with a velocity of 80 feet per second
Linear velocity = v = 80 feet per second
Therefore, angular velocity is given as:
![w = \frac{80}{5} = 16](https://tex.z-dn.net/?f=w%20%3D%20%5Cfrac%7B80%7D%7B5%7D%20%3D%2016)
Thus angular velocity is 16 radians per second
Answer:
x + y + z = 14
Step-by-step explanation:
If the points are designated A, B, C, then ...
AB × AC = (7, -7, 0) × (7, 0, -7) = (49, 49, 49).
That is, a vector perpendicular to the plane is (1, 1, 1), so the equation of the plane can be ...
(1, 1, 1)·(x, y, z) = (1, 1, 1)·A
x + y + z = 14
Answer:
25%
Step-by-step explanation:
![6 \times 6 = 36 \\ 3 \times 3 = 9 \\ \frac{9}{36} = \frac{25}{100}](https://tex.z-dn.net/?f=6%20%5Ctimes%206%20%3D%2036%20%5C%5C%203%20%5Ctimes%203%20%3D%209%20%5C%5C%20%20%5Cfrac%7B9%7D%7B36%7D%20%3D%20%20%5Cfrac%7B25%7D%7B100%7D%20%20)
Answer:
![\huge\boxed{\sf No}](https://tex.z-dn.net/?f=%5Chuge%5Cboxed%7B%5Csf%20No%7D)
Step-by-step explanation:
Evan spent 20 hours doing homework last week
25 hours were spent this week.
<u>Let's see what 125% of 20 equals:</u>
= (125 / 100) * 20
= (125 / 10) * 2
= 125 / 5
= 25 hours
But,
<u>It is written that Evan thought he spent 125 % more than the last week which means:</u>
= (125% of 20) + 20
= 25 + 20
= 45 hours
He should've said that he has given 25% more time than the last week.
(<u>Note that:</u> 25 % of 20 equals 5 so 25 % more than last week will be equal to (25 % + 20) = (5+20) = 25)
![\rule[225]{225}{2}](https://tex.z-dn.net/?f=%5Crule%5B225%5D%7B225%7D%7B2%7D)
Hope this helped!
<h3>~AH1807</h3>
Answer:
x = 3
Step-by-step explanation:
All three vertical lines are parallel and that makes the angle with measure of 67 degrees and the angle with measure represented by 23x - 2 are alternate and equal:
67 = 23x - 2 add 2 to both sides
69 = 23x divide both sides by 23
3 = x