Answer:
the first one
Step-by-step explanation:
From the remainder theorem, the remainder will be -2 and the relationship between f(x) and x + 2 is an inverse relationship.
<h3>What is the remainder of the division of the given polynomial?</h3>
The remainder theorem is used to determine the remainder where a polynomial is divided by a binomial.
The remainder theorem states that if a polynomial p(x) is divided by a binomial x - a, the remainder of the division is p(a).
Given the following division, f(x)/ x + 2
We can rewrite the binomial in this form:
x + 2 = x - (-2)
The division then becomes:
f(x)/ x - (-2)
From the remainder theorem, the remainder will be -2.
Therefore, the relationship between f(x) and x + 2 is an inverse relationship such that f(2) = -2
Learn more about remainder theorem at: brainly.com/question/13328536
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Answer:
The volume of the cone is:
- <u>112.6 cubic inches.</u>
Step-by-step explanation:
You should know that the volume of a straight circular cone is equal to:
- Cone volume = (1/3) PI * r ^ 2 * h
Where:
<em>r = radius.
</em>
<em>h = height.
</em>
Since the radius and diameter are not provided in the exercise but the circumference, the circumference formula should be used and the diameter must be cleared:
- Circumference = PI * Diameter.
When clearing you get:
- Diameter = circumference / PI
By replacing the data you get:
- Diameter = 15 inches / PI
- Diameter = 4.77 inches.
Since the radius is equal to half the diameter, then the diameter is equal to 2,385 inches, now having the value of radius we proceed to replace in the volume formula:
- Cone volume = (1/3) PI * 2.385 in^2 * 18.9 in
- Cone volume = 112.581541 in^3
- <u>Cone volume = 112.6 in^3</u>
Answer:
I owed a friend 15 bucks till someone payed for me 2/3 of what I owed so I only had to pay him back 5 bucks.
Answer:
The angle of elevation is approximately 
Step-by-step explanation:
Notice that the two pieces of information given: "400 ft away from a building", and building that is "850 ft tall", can be regarded as the two legs of a right angle triangle (see attached image).
Then the angle 
that we are trying to find (the angle of elevation) can be found by using the arc-tangent function:
