Answer: x=1 1/3
Step-by-step explanation:
Unlike the previous problem, this one requires application of the Law of Cosines. You want to find angle Q when you know the lengths of all 3 sides of the triangle.
Law of Cosines: a^2 = b^2 + c^2 - 2bc cos A
Applying that here:
40^2 = 32^2 + 64^2 - 2(32)(64)cos Q
Do the math. Solve for cos Q, and then find Q in degrees and Q in radians.
Answer:
[-1, 6)
General Formulas and Concepts:
<u>Algebra I</u>
- Reading a coordinate plane
<u>Algebra II</u>
- Range is the set of y-values that are outputted by function f(x)
- Interval Notation - [Brackets] denote inclusion and (Parenthesis) denote exclusion
Step-by-step explanation:
According to the graph, our y-values span from -1 to 6. Since -1 is a closed dot, it is inclusive. Since 6 is an open dot, it is exclusive:
Range would then be [-1, 6).
This question is about Pythagorean theorem, a square + b square = c square
Where a and b represents either leg of the triangle (width or height), and c represents the hypotenuse (the diagonal)
Let height = h
For the question above, the equation will be
36 square + h square = 45 square
Subtract 36 square from both sides
36 square - 36 square + h square= 45 square - 36 square
h square = 2025 - 1296
h square = 729
Find the square root of both sides
Square root of h square = square root of 729
h = 27
The height of the television is 27