Suppose a triangle has two sides of length 32 and 35, and that the angle between these two sides is 120°. What is the length of
1 answer:
Answer:
A. 58.04°
Step-by-step explanation:
Let the sides of the triangle be A , B and C.
A = 32
B = 35
C = what we don't know.
The opposite angle to C is 120° and its just denoted as ∡C
The formula to find C² = A² + B² - 2ABcos∡C
C² = 32² + 35² - 2(32)(35)cos120°
C² = 1024 + 1225 - 2240cos120°
C² = 3369
C = ≅ 58.04°
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Answer:
[-3, ∞)
Step-by-step explanation:
There are many ways to find the range but I will use the method I find the easiest.
First, find the derivative of the function.
f(x) = x² - 10x + 22
f'(x) = 2x - 10
Once you find the derivative, set the derivative equal to 0.
2x - 10 = 0
Solve for x.
2x = 10
x = 5
Great, you have the x value but we need the y value. To find it, plug the x value of 5 back into the original equation.
f(x) = x² - 10x + 22
f(5) = 5² - 10(5) + 22
= 25 - 50 +22
= -3
Since the function is that of a parabola, the value of x is the vertex and the y values continue going up to ∞.
This means the range is : [-3, ∞)
Another easy way is just graphing the function and then looking at the range. (I attached a graph of the function below).
Hope this helped!
Answer: look at my work its 10 pi cm ^2
Step-by-step explanation:
