Answer:
{-5, -2}
Step-by-step explanation:
In a case like this please use parentheses to remove ambiguities. If I were to take your "x+5/x+2" literally, I'd have to write x plus 5/x plus 2.
I suspect that you actually meant (x + 5) / (x + 2), and will start with that.
First of all, this function is not defined at x = -5 or at x = -2. Thus, -5 and -2 are critical points.
Secondly, there may be one or more critical points beyond this. To find out, we have to differentiate (x+5)/(x+2):
(x + 2)(1) - (x + 5)(1)
f '(x) = ------------------------------
(x + 2)
Here it's clear that x cannot = -2, which would cause division by zero.
Thus, our critical values are {-5, -2}.
Answer:
The monument is approximately 86.6 feet tall
Step-by-step explanation:
The given monument parameters are;
The distance of the person from the monument = 50 feet
The angle of depression from the top of the monument to the person's feet = 64°
Given that the angle of elevation to the top of the monument from the person's feet = The angle of depression from the top of the monument to the person's feet, we have;
tan(Angle of depression) = tan(Angle of elevation) = (The height of the monument)/(The distance from the monument)
∴ The height of the monument = tan(Angle of depression) × The distance from the monument
Substituting the known values, gives;
The height of the monument = tan(60°) × 50 ≈ 86.6
The height of the monument ≈ 86.6 feet.
Hello There!
Great Question!
To calculate the area of a rectangular prism, you would multiply the length, the width, and the depth. As we want to measure this in cubic feet, we should convert all of the measurements to feet to begin with.
How wide is the garden? (either 7 or 8 feet)
How long is the garden? (Whichever of 7 or 8 wasn’t used)
How deep is this garden? 6 inches.
Well, that’s not feet, right?
How many inches are in a foot? 12.
Divide 6 by 12, what is the answer? .5.
Answer:
15 days.
Step-by-step explanation:
46 - 16 = 30.
It falls 2 seconds behind each day so the number of required days
= 30 / 2 = 15.
