Answer:
x = 2* pi* n
Step-by-step explanation:
cos(2x) cos(x) + sin(2x) sin x =1
We know cos(s) cos(t) + sin(s) sin(t) = cos(s - t)
Using s =2x and t = x
cos (2x-x) =1
cos (x) =1
We know this occurs at 0, 2pi, 4 pi etc
x = 2* pi* n where n is an integer
22 percent
110000 divided by 22= 5000
110000 - 5000= 105000
There will be 2 groups, and each group have 6girls and 9 boys.
12 ÷ 2 = 6
18 ÷ 2 = 9
Answer:
(B) The inequality that represents this relationship is 
Step-by-step explanation:
Let us assume the given number = x
⇒ 3 times the given number = 3 (x) = 3x
Square of the given number = 
Now, According to the question:
The difference of (3 x) and 15 is no less than 
⇒ 
or, 
Hence, the given inequality is represented as 
Answer:
23. 0.4583 seconds
24. 0.0107 seconds
Step-by-step explanation:
The problem statement tells you how to work it. You need to convert speed from miles per hour to feet (or inches) per second.
90 mi/h = (90·5280 ft)/(3600 s) = 132 ft/s = (132·12 in)/s = 1584 in/s
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23. The time it takes for the ball to travel 60.5 ft is ...
time = distance/speed
time = (60.5 ft)/(132 ft/s) = 0.4583 s
It takes 458.3 milliseconds to reach home plate.
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24. time = distance/speed
time = (17 in)/(1584 in/s) = 0.0107 s
The ball is in the strike zone for 10.7 milliseconds.