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Ivenika [448]
2 years ago
6

Mia has a conical container filled with chocolates. She knows that the volume of the container is equal to one-third of the prod

uct of , the square of the radius of the base of the container, and the height of the container. Mia measured the height of the container and found it to be 14 centimeters. She also measured the radius of the base of the container and found it to be 4 centimeters. If V represents the volume of the conical container, then which of the following equations can be used to calculate the volume of the container?
Mathematics
2 answers:
andrew11 [14]2 years ago
8 0

Answer:

its B...................................... lol

34kurt2 years ago
7 0
For this case what you should do is create the equation based on:
 "She knows that the volume of the container is equal to one-third of the product, the square of the radius of the base of the container, and the height of the container"
 We have then that the Volume is given by:
 V = (1/3) * (r ^ 2) * (h)
 where,
 r: radius of the base.
 h: height of the container.
 answer
 The volume of the container is calculated with the following equation:
 V = (1/3) * (r ^ 2) * (h)
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Inconsistent and dependent

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A rectangular piece of paper has a width that is 3 inches less than its length. It is cut in half along a diagonal to create two
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Let

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y------> the width of the rectangle

we know that

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A=x*y

The area of the two congruent right triangles  is equal to the area of the rectangle

A=2*44=88\ in^{2}

so

88=x*y -------> equation A

y=x-3 -----> equation B

Substitute equation B in equation A

x*[x-3]=88

x^{2} -3x-88=0 --------> equation that can be used  to solve for the length of the rectangle

Using a graph tool-------> solve the quadratic equation

see the attached figure

The solution is

x=11\ in -----> the length of the rectangle

Find the value of y

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y=8\ in  ----> the width of the rectangle

Statements

<u>case A)</u> The area of the rectangle is 88 square inches

The statement is True

See the procedure

<u>Case B)</u> The equation  x*[x-3]=44 can be used to solve for the dimensions of the triangle

The statement is False

Because, the equation x*[x-3]=88 can be used to solve for the dimensions of the triangle

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The statement is True

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8 0
2 years ago
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Answer:    -2.145

Step-by-step explanation:

(3.2+4x)+(18.25+6x)=

Simplifying

(3.2 + 4x) + (18.25 + 6x) = 0

Remove parenthesis around (3.2 + 4x)

3.2 + 4x + (18.25 + 6x) = 0

Remove parenthesis around (18.25 + 6x)

3.2 + 4x + 18.25 + 6x = 0

Reorder the terms:

3.2 + 18.25 + 4x + 6x = 0

Combine like terms: 3.2 + 18.25 = 21.45

21.45 + 4x + 6x = 0

Combine like terms: 4x + 6x = 10x

21.45 + 10x = 0

Solving

21.45 + 10x = 0

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Add '-21.45' to each side of the equation.

21.45 + -21.45 + 10x = 0 + -21.45

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