Recall that
sin(<em>a</em> + <em>b</em>) = sin(<em>a</em>) cos(<em>b</em>) + cos(<em>a</em>) sin(<em>b</em>)
sin(<em>a</em> - <em>b</em>) = sin(<em>a</em>) cos(<em>b</em>) - cos(<em>a</em>) sin(<em>b</em>)
Adding these together gives
sin(<em>a</em> + <em>b</em>) + sin(<em>a</em> - <em>b</em>) = 2 sin(<em>a</em>) cos(<em>b</em>)
To get 14 cos(39<em>x</em>) sin(19<em>x</em>) on the right side, multiply both sides by 7 and replace <em>a</em> = 19<em>x</em> and <em>b</em> = 39<em>x</em> :
7 (sin(19<em>x</em> + 39<em>x</em>) + sin(19<em>x</em> - 39<em>x</em>)) = 14 cos(39<em>x</em>) sin(19<em>x</em>)
7 (sin(58<em>x</em>) + sin(-20<em>x</em>)) = 14 cos(39<em>x</em>) sin(19<em>x</em>)
7 (sin(58<em>x</em>) - sin(20<em>x</em>)) = 14 cos(39<em>x</em>) sin(19<em>x</em>)
Answer:
w = -3
Step-by-step explanation:
8w + 12 = -12
use inverse operations:
8w + 12 = -12
-12 -12
8w = -24
/8 /8
w = -3
Alright, lets get started.
Mr. Hinckley owns 83 acres of total land.
He divides the land into eight equal sections to sell to eight buyers.
It means, we could find the land each buyer receives by dividing total land by 8.
So, each buyer receives land = 
So, each buyer receives land = 10.375 acres
So, the answer is 10.375 acres lands received by each buyer. : Answer
Hope it will help :)
Answer:
- <u>It is a combination</u>
<u></u>
Explanation:
This is a combination because the order does not matter: the Beagle - Collie couple is the same as the Collie - Beagle couple, so it is only counted once.
The formula for combinations is:
For five diffferent dogs to be put in pairs, the number of different pairs is:
Answer: second option
Step-by-step explanation: To solve this problem, we will need to plug in the value of “x” into our equation to see if it makes sense.
Let’s start by going in order.
-4.9 = -5.7 + 10.6 = 4.9
This will not be the answer because it’s positive 4.9 not negative.
Let’s go on to the last one. If we add positive 0.8 to negative 5.7 we will get the answer of -4.9 and this makes sense.
