1. The interior angles of any triangle add to 180 degrees in measure. So
Then by the law of sines,
2. By the law of sines,
so that
Then
so that
Answer:
8/12 or about 66%
Step-by-step explanation:
Total movies = 12
Comedies = 4
8/12
Growth factor is identified as the factor by which the quantity multiplies itself over time.
Sales tax = 10.5%
Sales price = 100%
Growth factor = 100% + 10.5% = 110.5% or 1.105
The growth factor for any item purchased at your local circle mart is 1.105.
Answer:
<u>Equation:</u>
Step-by-step explanation:
<u>Step 1:</u>
- Pull out like factors:
<u>Trying to factor as a Difference of Cubes:</u>
- Factoring:
- Theory : A difference of two perfect cubes, a^3 - b^3 can be factored into
- (a-b) • (a^2 +ab +b^2)
- Proof : (a-b)•(a^2+ab+b^2) =
- a^3+a^2b+ab^2-ba^2-b^2a-b^3 =
- a^3+(a^2b-ba^2)+(ab^2-b^2a)-b^3 =
- a^3+0+0-b^3 =
- a^3-b^3
- Check : g^1 is not a cube !!
- Ruling : Binomial cannot be factored as the difference of two perfect cubes
<u>Equation at end of step 1:</u>
- <u />
<u>Step 2:</u>
- A product of several terms equals zero.
- When a product of two or more terms equals zero, then at least one of the terms must be zero.
- We shall now solve each term = 0 separately
- In other words, we are going to solve as many equations as there are terms in the product
- Any solution of term = 0 solves product = 0 as well.
<u>Solving a Single Variable Equation:</u>
- Solve
- In this type of equations, having more than one variable (unknown), you have to specify for which variable you want the equation solved.
- We shall not handle this type of equations at this time.
<u>Solution:</u>