Answer:
Step-by-step explanation:
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B. 285 ft³
C. 4,840 ft³
D. 6,032 ft³
The volume of the cone is 4840 cubic ft if the diameter of the base is 34 feet and the height is 16 feet option (C) is correct.
It is defined as a three-dimensional shape in which the base is a circular shape and the diameter of the circle decreases as we move from the circular base to the vertex.
Volume can be defined as a three-dimensional space enclosed by an object or thing.
It is given that:
A pile of tailings from a gold dredge is in the shape of a cone.
The diameter of the base is 34 feet and the height is 16 feet.
As we know,
The volume of the cone is given by:
r = 34/2 = 17 ft
h = 16 feet
Plug the above values in the formula:
After solving:
V = 1541.33π cubic feet
Take π = 3.14
V = 1541.33(3.14) cubic feet
V = 4839.78 ≈ 4840 cubic ft
Thus, the volume of the cone is 4840 cubic ft if the diameter of the base is 34 feet and the height is 16 feet option (C) is correct.
Learn more about the cone here:
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Answer:
C:
Step-by-step explanation:
The formula for the volume of a cone is:
Therefore,
Answer: Coefficient
Step-by-step explanation:
When solving for an unknown variable that has a number preceding it, you will divide both sides of the equation by this number, which is known as the coefficient.
A coefficient is a number preceding any variable in a function for example, given the function 4x, the variable is 'x' and the number preceding it is 4. This number preceding the variable is what we call 'coefficient' of the variable 'x'
the correct answer is A. $1030.44
k = ________
Answer:
The constant of proportionality for the group of boxes is 25.
Step-by-step explanation:
Given : The volume of a box(V) varies directly with its length(l). If one of the boxes has a volume of 325 cubic inches and a length of 13 inches.
To find : What is the constant of proportionality for the group of boxes?
Solution :
The volume of a box(V) varies directly with its length(l).
Using k for the constant of proportionality.
We can express the relationship between V and l
If V varies directly with l.
V = kl
According to question,
If one of the boxes has a volume of 325 cubic inches and a length of 13 inches, then
Therefore, The constant of proportionality for the group of boxes is 25.
HELP PLS HOW DO I DO THIS STEP BY STEP!!
Answer:
C. 2/3
Step-by-step explanation:
You want the value of C that makes the equation have no solution.
(3/4)(5 +(C/2)x) +2 = (x +7)/4
A calculator is not needed to simplify the equation. We can start by multiplying both sides by 4.
3(5 +(C/2)x) +8 = x +7
15 +(3C/2)x +8 = x +7
(3C/2)x +23 = x +7
This will have no solution if the coefficient of x is the same on both sides of the equal sign.
3C/2 = 1
Multiplying by 2/3 gives ...
C = 2/3
The value 2/3 for C will make the equation have no solution, choice C.
__
Additional comment
When C=2/3, the equation becomes one that reduces to ...
(x +23)/4 = (x +7)/4 . . . . . no value of x will make this true.
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Answer:
2/3
Step-by-step explanation:
3/4 * (5+ 2/3/2*x)+2 = x+7/4
Simplify
3/4(5+ 1/3x)+2 = x+7/4
15/4 + 1/4x +2 = x+7/4
23/4 + 1/4x = x+7/4
Cancel terms (multiply by 4 to get rid of 4)
23 + x = x + 7
23 = 7
false :)