Answer:
40%
Step-by-step explanation:
you need to divide 80 by 8 to get 10 and then divide 32 by 8 aswell. this gives you 4/10 which is equivalent to 40/100 or 40%
Answer:
The best estimate is 27 dollars.
Step-by-step explanation:
When you divide 295 dollars by 11, you will get a very long decimal, do the first 2 numbers of the 1s place and 10s place in the decimal. After that, you have to round the 26.81. Since 8 is bigger than 5, you can round it to 27.00, and get your answer, which is 27 dollars.
Answer: 6
Step-by-step explanation:
12 = 2^2 • 3
30 = 2 • 3 • 5
72 = 2^3 • 3^2
Answer:
For every 1 liter of lemonade Martha has to add 1.6 liters of pineapple juice.
The ratio of liters of pineapple juice to liters of punch is 8:13
Step-by-step explanation:
13 - 8 = 5
5 divided by 5 is 1
8 divided by 5 is 1.6
Answer:
The work is in the explanation.
Step-by-step explanation:
The sine addition identity is:
.
The sine difference identity is:
.
The cosine addition identity is:
.
The cosine difference identity is:
.
We need to find a way to put some or all of these together to get:
.
So I do notice on the right hand side the 
and the 
.
Let's start there then.
There is a plus sign in between them so let's add those together:
![=[\sin(a+b)]+[\sin(a-b)]](https://tex.z-dn.net/?f=%3D%5B%5Csin%28a%2Bb%29%5D%2B%5B%5Csin%28a-b%29%5D)
![=[\sin(a)\cos(b)+\cos(a)\sin(b)]+[\sin(a)\cos(b)-\cos(a)\sin(b)]](https://tex.z-dn.net/?f=%3D%5B%5Csin%28a%29%5Ccos%28b%29%2B%5Ccos%28a%29%5Csin%28b%29%5D%2B%5B%5Csin%28a%29%5Ccos%28b%29-%5Ccos%28a%29%5Csin%28b%29%5D)
There are two pairs of like terms. I will gather them together so you can see it more clearly:
![=[\sin(a)\cos(b)+\sin(a)\cos(b)]+[\cos(a)\sin(b)-\cos(a)\sin(b)]](https://tex.z-dn.net/?f=%3D%5B%5Csin%28a%29%5Ccos%28b%29%2B%5Csin%28a%29%5Ccos%28b%29%5D%2B%5B%5Ccos%28a%29%5Csin%28b%29-%5Ccos%28a%29%5Csin%28b%29%5D)
So this implies:
Divide both sides by 2:
By the symmetric property we can write:
