Answer:
90.75 cm^2
Step-by-step explanation:
The area of a trapezoid is given by
A = 1/2 ( b1+b2) *h
where b1 and b2 are the lengths of the bases and h is the height
A = 1/2(8.5+ 15.7) * 7.5
1/2 (24.2) 7.5
90.75 cm^2
A counterexample for the statement 'All square roots are irrational numbers.' is the square root of 9. This is because when simplified, the answer is 3.
For a number to be irrational, it can't be expressed in fractional form. However, 3 can be expressed in fractional form as 3/1.
The answer is b the sun is a rational number
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:
=
3
7
.
7
2
Step-by-step explanation:
Add
2
4
.
4
5
24.45
24.45
to both sides of the equation
1
3
.
2
7
=
−
2
4
.
4
5
1
3
.
2
7
+
2
4
.
4
5
=
−
2
4
.
4
5
+
2
4
.
4
5