Answer:
x=21.38602241
Step-by-step explanation:
Given: sin(3x)cos(6x) - cos(3x)sin(6x) = -0.9
Rewrite as difference identity: sin(3x-6x)=-0.9
Combine like terms in parentheses: sin(-3x)=-0.9
Take the inverse sine of both sides: -3x=-64.15806724
Divide both sides by -3: x=21.38602241
Refer to the sheet to see all trigonometric identities
Prime numbers are numbers that have only one factor pair; 1 and themselves.
Let's start from 21.
21 = 1 x 21, 3 x 7.
This has two factor pairs, this is not prime.
Let's try 22.
22 = 1 x 22, 2 x 11.
This also has two factor pairs, this is not prime.
Let's try 23.
1 x 23.
This is a prime number, as it only has one factor pair; 1 and itself.
23 is your prime number.
I hope this helps!
For this case we have the following expression:

Applying distributive property to the terms within parentheses we have:

We add similar terms on both sides of equality considering that:
Equal signs are added and the same sign is placed.
Different signs are subtracted and the major sign is placed.

We add 7.5x to both sides of equality:

We subtract 72 from both sides of equality:

We divide between 3 on both sides of equality

ANswer:
Distributive property
Add similar terms
Equality property of the sum
Equality subtraction property
Equality property of the division
Answer:
About 11.77 centimeters
Step-by-step explanation:
By law of sines:

Hope this helps!
94 MINUS 68 EQUAL 26 DOLLARS MIN HAS