3950 is in between
is the answer
Answer:
I have provided it below
Step-by-step explanation:
- 8/18 > - 17/27
- 0.444444 > 0.62963
So this inequality is TRUE
Hope this helps!!
Answer:
x = 76.9
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
tan theta = opp side / adj side
tan 70 = x/28
28 tan 70 = x
x=76.92936
Rounding to the nearest tenth
x = 76.9
Answer:
Problem 1) frequency: 160 heartbeats per minute, period= 0.00625 minutes (or 0.375 seconds)
Problem 2) Runner B has the smallest period
Problem 3) The sound propagates faster via a solid than via air, then the sound of the train will arrive faster via the rails.
Step-by-step explanation:
The frequency of the football player is 160 heartbeats per minute.
The period is (using the equation you showed above):
![Period = \frac{1}{frequency} = \frac{1}{160} \,minutes= 0.00625\,\,minutes = 0.375\,\,seconds](https://tex.z-dn.net/?f=Period%20%3D%20%5Cfrac%7B1%7D%7Bfrequency%7D%20%3D%20%5Cfrac%7B1%7D%7B160%7D%20%5C%2Cminutes%3D%200.00625%5C%2C%5C%2Cminutes%20%3D%200.375%5C%2C%5C%2Cseconds)
second problem:
Runner A does 200 loops in 60 minutes so his frequency is:
loops per minute
then the period is: 0.3 minutes (does one loop in 0.3 minutes)
the other runner does 200 loops in 65 minutes, so his frequency is:
loops per minute
then the period is:
![\frac{13}{40} =0.325\,\,\,minutes](https://tex.z-dn.net/?f=%5Cfrac%7B13%7D%7B40%7D%20%3D0.325%5C%2C%5C%2C%5C%2Cminutes)
Therefore runner B has the smaller period
Answer:
227 sides
Step-by-step explanation:
The sum of the interior angles of a convex polygon is S=180(n-2) where n is the number of sides. If S=40500, then we have our equation 40500=180(n-2) and we can solve for n:
40500 = 180(n-2)
225 = n-2
227 = n
Therefore, the number of sides in the regular polygon is 227.