Tgα = tan(α) = sqrt(2)/1 = opposite/ adjacent
opposite = sqrt(2)
adjacent = 1
hypotenuse = sqrt(opposite^2 + adjacent^2)
= sqrt(sqrt(2)^2 + 1^2) = sqrt(3)
sin(α) = opposite/hypotenuse
= sqrt(2)/sqrt(3)
cos(α) = adjacent/hypotenuse
= 1/sqrt(3)
now we can calculate the value of
5sin²α+3cos²α / 3sin²α-5cos²α
... do the math
Volume=length×width×<span>height
= 1 X 1 X 1 = 1
YOUR ANSWE IS C THE ANSWER IS 1 CUBIC UNIT
</span>
Answer: 54 feet or 648 inches.
Step-by-step explanation:
1. You know that 1 inch on the doll house corresponds to 1/2 foot for life-sized objects. Therefore, you can calculate the width of the full-sized house that it's modeled after, as following:

2. Then, the width in feet is: 54 feet.
3. And the width in inches is:
(Keeping on mind that 1 feet=12 inches)

1. You have the following function that is shown in the problem above:
<span>f(x)=(x+3)/30
2. Then, the domain of the function </span><span>f(x)=(x+3)/30 is:
All the real numbers (R)
3. Therefore, the correct answer for the exercise is the first option (Option A), which is:
A.</span><span> x is the set of all real numbers.</span>