Answer:
cos(x-30)=1/2
Step-by-step explanation:
We use the following relationship to obtain cos(x)

From that, we have that cos(x)= sqrt(1-1/4)=sqrt(3) / 4
To obtain the value of cos(x-30), lets remember the following expression:

Therefor, we can use that to obtain our desired function cos(x-30)
cos(x)*cos(30)+sin(x)*sin(30)

=2/4=1/2
Answer:
The answer is B. 5/8 quarts
Step-by-step explanation:
1 ounce is equal to .03125 quarts so to find the amount of quarts, you multiply 20 times .03125 to get .625 or 5/8.
Answer: 45 dollars and it was a distance of 5 kilometers
Step-by-step explanation: What i did was start with 30, then keep adding 3 till i got the a multiple of 5.
30 + 3 = 33
33 + 3 = 36
36 + 3 = 39
39 + 3 = 42
42 + 3 = 45
So already i know that it is 5 kilometers, because i added 3 to 30 five times.
No i will do that with the second company
20 + 5 = 25
25 + 5 = 30
30 + 5 = 35
35 + 5 = 40
40 + 5 = 45
That is also 5 kilometers, because i added 5 to 20 five times. I also know they are the same price, because they both added to 45 dollars.
Thats how i solved it.
I really hope that helps!
538
-247
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8-7=1
Cross out 5 and make it 4. Make 3 into 13. 13-4=9
4-2=2
The answer is: 291