Sin (x + y) = sin x cos y + cos x sin y
<span>sin 255 </span>
<span>= sin (210 + 45) </span>
<span>= sin 210 cos 45 + cos 210 sin 45 </span>
<span>= (-1/2)(√(2)/2) + (-√(3)/2)(√(2)/2) </span>
<span>= -√(2)/4 + (-√(6)/4) </span>
<span>= -√(2)/4 - √(6)/4 </span>
<span>= (-√(2) - √(6)) / 4</span>
Answer:
x = 32, ∠A = 132
Step-by-step explanation:
A and B are equal. Set both equations equal to each other.
5x - 18 = 3x + 42
Add 18 to both sides and subtract 3x from both sides.
2x = 60
Divide both sides by 2.
x = 30
Now plug x back in to solve for angle A.
5(30) - 18 = 132
Answer: 29 and 24
Step-by-step explanation:
Since one number is 5 more than another
53-5 = 48
Then we divide that by two to get the value of one of the two numbers
48/2= 24
In order to get the number which is 5 more than the other, we add 5
24+5= 29
So the two numbers would be 29 and 24.
Check:
29+24= 53
edit; found the wrong thing lol
There are 60 minutes in an hour and 60 seconds in a minute.
60 * 60 = 3600
There are 3600 seconds in an hour.
3600/30 = 120
3600 seconds is 120 times 30 seconds.
If you go 1/2 mile in 30 sec, you go 120 times more distance in 1 hour.
1/2 mile * 120 = 60 miles
1/2 mile in 30 sec is the same as 60 miles per hour.