Answer:
x = 33.49°
Step-by-step explanation:
The relevant trig ratio is the sine:
Sin = Opposite/Hypotenuse
siin(x) = 32/58
The angle measure is found using the inverse function:
x = arcsin(32/58) ≈ 33.49°
F(x) = ln(x² - 12x)
The derivative is

f(x) is undefined when x² - 12x = x(x - 12) = 0
That is, when x = 0 or x = 12.
Therefore the domain is (-∞, 0)∪(0,12)∪(12, ∞)
Answer:
The derivative is

The domain is
(-∞, 0)∪(0, 12)∪(12,∞)
First, set up the equation.
365x + 125 = 250x + 175
Second, combine like terms on the same side by subtracting 250x and 125 from both sides.
365x +125 = 250x + 175
-250x -125 -250x -125
__________________
115x = 50
Third, divide both sides by 115 to solve for x.
115x = 50
---- ----
115 115
Fourth, simplify.
x=50/115=10/23 or 0.435
Answer:
Length = 5
Width = 21
Step-by-step explanation:
(x)(x + 16) = 105
x^2 + 16x = 105
x^2 + 16x - 105 = 0
(x - 5) x ( x + 21) = 0
x - 10 = 0
x = 5
x + 21 = 0
x = -21
Now that we have the zeroes.
We have to find the most viable one to put in.
Using -21 would not make sense, so we will use 5.
Plug it in:
x = 5
(5) (5 + 16) = 105
5 ( 21) = 105
Do you have a picture? i can help if you have one