Answer:
sinβ = 15/17
General Formulas and Concepts:
<u>Math</u>
<u>Trigonometry</u>
- [Right Triangles Only] SOHCAHTOA
- [Right Triangles Only] sinθ = opposite over hypotenuse
Step-by-step explanation:
<u>Step 1: Define</u>
Angle θ = β
Opposite Leg = 15
Hypotenuse Leg = 17
<u>Step 2: Find</u>
- Substitute in variables [sine]: sinβ = 15/17
Answer:
the unknown number is -13
Step-by-step explanation:
4n -7 = -59
4n = -59 +7
n= -52 /4
n = -13
The answer is that she stated it. There is no question mark or exclamation mark, so it was neither asked nor exclaimed. She states it firmly and steadily. Consideration would reflect uncertainty and unsteadiness.
Thus, it is a statement. By the way, please post in the appropriate category. You are in mathematics :)
Answer:
'The product of two rational numbers is rational'
Step-by-step explanation:
Statement 'The product of two rational numbers'.
We know that, 'The product of two rational numbers is rational'.
We can prove it,
Let and are two rational number.
Where, a,b,p,q are integers and
Now, Product the two rational number
Since, ap and bq are integers and
Thus, is an fraction with integers in the numerator and denominator making it a rational number.
Therefore, 'The product of two rational numbers is rational' is true.
Answer: A: -2x^3 - 6x^2 + 9x
Step-by-step explanation:
f(x) - g(x) is a simple subtraction problem, just like 2 - 1, or 8 - 5. So, treat the functions like normal questions.
> f(x) = 3x^3 - 4x^2 + 6x
> g(x) = 5x^3 + 2x^2 - 3x
> f(x) - g(x)
Substitute these values for f(x) and g(x).
> f(x) - g(x)
> (3x^3 - 4x^2 + 6x) - (5x^3 + 2x^2 - 3x)
Now, we combine like terms*:
> For x^3: (3x^3 - 5x^3) = -2x^3
> For x^2: (-4x^2 - 2x^2) = -6x^2
> For x: (6x + 3x) = 9x
*NOTE: Remember that when there is a subtraction sign in front of a group of numbers, all the numbers inside of the parenthesis are multiplied by -1, and get their signs switched.
Putting all of these values together, we get (-2x^3 - 6x^2 + 9x).