Answer:
0.84
Step-by-step explanation:
25 x b = 21
b= 21/25
b= 0.84
Answer:
(x-5)*(x+5)
Step-by-step explanation:
= x^2 + 5x - 25 - 5x
= x^2 +5x - 5x -25
because +5x - 5x = 0 so
= x^2 + 0 - 25
= x^2 - 25
25 can be written as 5^2
= x^2 - 5^2
we know that a^2 - b^2 = (a-b) * (a+b)
so x^2 - 5^2
= (x-5) * (x+5)
Hope this help you :3
Answer:Fred has 13 9/10 minutes left for question C
Step-by-step explanation:
The total time that Fred has to do the three-problem quiz is 30 minutes.
He spent 10 7/10 minutes on question A. Converting 10 7/10 minutes to improper fraction, it becomes 107/10 minutes.
He spent 5 2/5 minutes on question B. Converting 5 2/5 minutes to improper fraction, it becomes 27/5 minutes.
Total time that Fred spent on question A and question B is
107/10 + 27/5 = (107 + 54)/10
= 161/10 minutes.
The amount of time that he has left for question C would be
30 - 161/10 = (300 - 161)/10 = 139/10
= 13 9/10 minutes
Step-by-step explanation:
98 = 188t - 16t^2
-16t^2 + 188t = 98
-16t^2 + 188t - 98 = 0
8t^2 - 94t + 49 = 0
Use the quadratic formula with a = 8 , b = -94 , c = 49 to get the solutions
t = [(47 - root 1817) / 8]≈ 0.55
and
t = [(47 + root 1817) / 8] ≈ 11.20
Answer:
.
Step-by-step explanation:
Given:
![cos\ \theta= \frac35](https://tex.z-dn.net/?f=cos%5C%20%5Ctheta%3D%20%5Cfrac35)
We need to find ![cos \ \frac{\theta}{2}](https://tex.z-dn.net/?f=cos%20%5C%20%5Cfrac%7B%5Ctheta%7D%7B2%7D)
Solution:
First we will find the value of
.
Now taking
on both side we get;
![\theta= cos^{-1} \ \frac{3}{5}\\\\\theta = 53.13](https://tex.z-dn.net/?f=%5Ctheta%3D%20cos%5E%7B-1%7D%20%5C%20%5Cfrac%7B3%7D%7B5%7D%5C%5C%5C%5C%5Ctheta%20%3D%2053.13)
Now we will find the
.
= ![\frac{53.13}{2} = 26.565](https://tex.z-dn.net/?f=%5Cfrac%7B53.13%7D%7B2%7D%20%3D%2026.565)
Now we will find
we get;
![cos \frac{\theta}{2}=cos\ 26.565 = 0.894](https://tex.z-dn.net/?f=cos%20%5Cfrac%7B%5Ctheta%7D%7B2%7D%3Dcos%5C%2026.565%20%3D%200.894)
Hence
.