Answer:
In the explanation
Step-by-step explanation:
Going to start with the sum identities
sin(x+y)=sin(x)cos(y)+sin(y)cos(x)
cos(x+y)=cos(x)cos(y)-sin(x)sin(y)
sin(x)cos(x+y)=sin(x)cos(x)cos(y)-sin(x)sin(x)sin(y)
cos(x)sin(x+y)=cos(x)sin(x)cos(y)+cos(x)sin(y)cos(x)
Now we are going to take the line there and subtract the line before it from it.
I do also notice that column 1 have cos(y)cos(x)sin(x) in common while column 2 has sin(y) in common.
cos(x)sin(x+y)-sin(x)cos(x+y)
=0+sin(y)[cos^2(x)+sin^2(x)]
=sin(y)(1)
=sin(y)
Answer:
x - 80
Step-by-step explanation:
Ravi had x dollars in all.
x - 80
Answer:
= 3
Step-by-step explanation:
Hello there! The answer for question 3 is 4 dogs
The answer for question 2 is D 6%, 0.66, 6/10
The answer for question 1 is 20%
Hope this helps out! :)
Answer:
<u>30 people </u>
Step-by-step explanation:
The question is as following:
Here are the ingredients for pineapple sherbet for 6 people
800g pineapple 4 egg whites 1/2 lemon 100g caster sugar
Dan makes pineapple sherbet he uses 2 1/2 lemons
work out how many people he makes pineapple sherbet for?
=======================================================
1/2 lemon needed for pineapple sherbet for 6 people
2 1/2 lemons needed for pineapple sherbet for <u>x</u> people
1/2 : 6 = 2 1/2 : x
∴ x = ( 6 * 2 1/2 ) ÷ (1/2)
x = 6 * 5/2 * 2 = 30 people
<u>So, he make the pineapple sherbet for 30 people </u>