Answer:
The radius of the spool is 3.7 cm
Step-by-step explanation:
Consider the provided information.
The rate is 59.4 cm per sec and it makes 152 revolutions per min.
We need to find the radius.
Now use the formula: ![r=\frac{v}{\omega}](https://tex.z-dn.net/?f=r%3D%5Cfrac%7Bv%7D%7B%5Comega%7D)
Substitute
in above formula and change the revolutions per min to rad per second.
![r=59.4\frac{cm}{sec}(\frac{1}{152}\times \frac{min}{rev}\times\frac{60sec}{1min}\times\frac{1rev}{2\pi rad})](https://tex.z-dn.net/?f=r%3D59.4%5Cfrac%7Bcm%7D%7Bsec%7D%28%5Cfrac%7B1%7D%7B152%7D%5Ctimes%20%5Cfrac%7Bmin%7D%7Brev%7D%5Ctimes%5Cfrac%7B60sec%7D%7B1min%7D%5Ctimes%5Cfrac%7B1rev%7D%7B2%5Cpi%20rad%7D%29)
![r=\frac{3564}{304\pi}cm](https://tex.z-dn.net/?f=r%3D%5Cfrac%7B3564%7D%7B304%5Cpi%7Dcm)
![r\approx 3.7cm](https://tex.z-dn.net/?f=r%5Capprox%203.7cm)
Hence, the radius of the spool is 3.7 cm
Answer:
1 point on (0,-6) and the other on (-3,0)
the left side of the graph should be shaded if you need to
Step-by-step explanation:
To write this formula in simplest terms, you first need to distribute the negative sign in order to get 10y^8-4y^8-13. Then, since a few of the terms contain y^8, you can combine like terms in order to get 6y^8-13 which is the final answer.
I hope this helps.
9514 1404 393
Answer:
x = 8
Step-by-step explanation:
![\dfrac{7}{8}-\dfrac{1}{x}=\dfrac{3}{4}\\\\7x-8=6x\qquad\text{multiply by $8x$ to clear fractions}\\\\\boxed{x=8}\qquad\text{add $8-6x$}](https://tex.z-dn.net/?f=%5Cdfrac%7B7%7D%7B8%7D-%5Cdfrac%7B1%7D%7Bx%7D%3D%5Cdfrac%7B3%7D%7B4%7D%5C%5C%5C%5C7x-8%3D6x%5Cqquad%5Ctext%7Bmultiply%20by%20%248x%24%20to%20clear%20fractions%7D%5C%5C%5C%5C%5Cboxed%7Bx%3D8%7D%5Cqquad%5Ctext%7Badd%20%248-6x%24%7D)
__
If you don't mind dealing with fractions, you can add 1/x -3/4 to get ...
7/8 -3/4 = 1/x
1/8 = 1/x . . . . . . . simplify
x = 8 . . . . . . . . . . take reciprocals; equivalently, multiply by 8x.
Answer:
You can explore a variety of things in Alaska. There are so many activities you could do such as visiting museums and hiking and tons more. The thing about this is that it is out in the wilderness which makes it more exciting and cooler to see nature more than it does in new zealand. The climate can be pretty chilly in Alaska but it is way much fun to see tons of glaciers. New zealand has eathquakes frequently whilst Alaska doesn't.