Cone W has a radius of 10 cm and a height of 5 cm. Square pyramid X has the same base area and height as cone W.

Paul and Manuel disagree on how the volumes of cone W and square pyramid X are related. Examine their arguments. Which statement explains whose argument is correct and why?

Answers

Answer 1

Answer:

The answer is C.

Step-by-step explanation:

I took the test and got it right

Answer 2

Manuel's argument is correct. Paul used the incorrect base area to find the volume of square pyramid X. Then the correct option is C.

What is Geometry?

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

A thick or empty device with an approximately round or elliptical base that tapers to a notch is known as a cone.

Cone W has a radius of 6 cm and a height of 5 cm.

The base area of the cone will be

A = πr²

A = π (6)²

A = 113.04 square cm

Then the volume of the cone will be

V = (1/3) x base area x height

V = (1/3) x 113.04 x 5

V = 188.4 cubic cm

Square pyramid X has the same base area and height as cone W.

Then the volume of the square pyramid will be

V = (1/3) x base area x height

V = (1/3) x 113.04 x 5

V = 188.4 cubic cm

Manuel's argument is correct. Paul used the incorrect base area to find the volume of square pyramid X.

Then the correct option is C.

The question was incomplete, but the complete question is attached below.

More about the geometry link is given below.

https://brainly.com/question/7558603

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Cone W Has A Radius Of 10 Cm And A Height Of 5 Cm. Square Pyramid X Has The Same Base Area And Height

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2x+3y=12
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(_,8)
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the answer would be (6,8)

Write a polynomial function in Intercept (factored) form that has the following zeroes.
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Toben bought ​ 512 ​ pounds of chicken, which cost $3.50 per pound. What was the total cost of the chicken?

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Answer:

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Step-by-step explanation:

512 x 3.50 = $1792

Answer:

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Step-by-step explanation:

512 * $3.50 = $1792

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f(6)= 28, f(7)= 33, f(8)= 38, SO f(9)= 43

Is y=-1/3x+2. 2=y+1/3x

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Answer:

yes i think so

Step-by-step explanation:

Evaluate the logarithm. ln(1/e^2)

Answers

Answer:

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Step-by-step explanation:

Notice that 1/e^2 = e^(-2), by power rules.

Now ln(e^x)=x.

So ln(1/e^2) = ln(e^(-2))=-2

The graph of a linear system is shown.


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Answers

Answer:

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Step-by-step explanation:

From the graph attached,

Two lines are representing linear system of equation.

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Answers

Answer:

$15.00

Step-by-step explanation:

25% of anything means a quarter of that thing. (ie.1/4 of $60 which is $15).

OR

(25/100)*$60

0.25*60=$15

A residential community was polling households to find out whether they wanted to get their TV signal from a satellite or cable. The results are shown in the Venn diagram.

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Answer:

What are the results? What's the question?

Step-by-step explanation:

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Step-by-step explanation:

Trust me no cap

Find the length of AC

Answers

B)

here,

A to B = 62

C To B = 11

A to C = ?

now,

so, 62 - 11 = 51

therefore a to C Is 51 cm

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A)

Here,

A to B = 13

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total = ?

now,

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13 + 26 = 39

Therefore,

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Answers

Answer:

[tex] \angle DEC [/tex]

Step-by-step explanation:

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Answers

Answer

35.5 hours per week

Step-by-step explanation:

532.5/15=35.5

therefore 35 and half a hour per week

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Y = -4x + 7
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Answers

If 6X6 = 36
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Step-by-step explanation:

Opposite angles in a cyclic quadrilateral are supplementary.

Therefore 3c = 4d = 180°, c = 60° and d = 45°.

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Type SSS, SAS, ASA, SAA, or HL

To justify why the two larger triangles are
Congruent.

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I’m assuming the answer is HL since they only gave us two letters.

The theorem that justifies why ΔADB ≅ ΔCBE is the: SAA congruence theorem.

What is the SAA Congruence Theorem?

The SAA congruence theorem states that two triangles can be proved to be congruent triangles if they both have two pairs of congruent angles and a pair of non-included congruent sides.

Thus:

ΔADB and ΔCBE have:

two pairs congruent angles: ∠ABC ≅ ∠CBE and ∠BAD ≅ ∠BCEone pair of non-included congruent sides: AD ≅ EC

Therefore, the theorem that justifies why ΔADB ≅ ΔCBE is the: SAA congruence theorem.

Learn more about the SAA congruence theorem on:

https://brainly.com/question/2102943

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Answers

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OV = sqrt(37^2-12^2)

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Sa = 1/2 x pi x 12(12+ sqrt(35^2+12^2))

Sa= 923.63 round as needed.

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Answers

Answer

the first one is the answer and none of the above

Step-by-step explanation:

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Answers

Answer:

a) 45 minutes

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Step-by-step explanation:

a) It is the length of the horizontal line in the graph. It extends from 14:45 to 15:30 and that is 45 minutes.

b) Andy travels 50 km in 30 minutes (=0.5 hr), that's 50/0.5 = 100 km/hr.

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"An equation that has the highest degree of 1 is known as a linear equation. This means that no variable in a linear equation has an exponent more than 1. The graph of a linear equation always forms a straight line."

As per the graph, Andy drove from his home to his sisters house.

Then he rested for a while there.

After that, he returned back to his home.

It is clear from the graph that, Andy stayed his sisters house

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Andy return back to his home in

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[tex]= \frac{50}{0.5} km/hour\\= 100 km/hour[/tex]

Learn more about a linear equation here: https://brainly.com/question/11897796

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2x+3y=780
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What is y?

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Answer:

x = 330 and y = 40

Step-by-step explanation:

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i believe it will be 1/8

Muriel says she has written a system of two linear
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Answers

Answer:

Please check the explanation.

Step-by-step explanation:

If the lines are identical, there must be an infinite number of solutions. In other words, they are the coordinate of all the points on that line.

It means the lines will be overlapping. Since lines will be overlapping, it means they are the same exact line.

Given the line

3y = 2x-9

As the system of equations has an infinite number of solutions, it means the lines must be identical.

So, the other line can be obtained by multiplying the line 3y = 2x-9 by any scalar number, let say by 2.

so

6y = 4x-18 will be another line.

Thus, the system of equations become:

3y = 2x-9

6y = 4x-18

The graph is attached below.

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Answers

Given:

The graph of a line.

To find:

The equation of line and values of m and b. Check whether it is proportional or linear.

Solution:

From the given graph it is clear that, the line passes through (0,4) and (2,0). So, the equation of line is

[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]

[tex]y-4=\dfrac{0-4}{2-0}(x-0)[/tex]

[tex]y-4=\dfrac{-4}{2}(x)[/tex]

[tex]y-4=-2x[/tex]

Adding 4 on both sides, we get

[tex]y=-2x+4[/tex]

On comparing this equation with slope intercept form, i.e., [tex]y=mx+b[/tex], we get

[tex]m=-2\text{ and }b=4[/tex]

All lines are linear. If a line passes through the origin then it is proportional.

From the given graph it is clear that the line is not passing through the origin, i.e., (0,0). So, it is linear not proportional.

Therefore, the value of m is -2 and the value of b is 4. The equation of line is [tex]y=-2x+4[/tex].  The line linear not proportional because it does not passing through the origin.

solve for x.
6(x+4)-8x=16​

Answers

Answer:

x=4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

6(x+4)−8x=16

(6)(x)+(6)(4)+−8x=16(Distribute)

6x+24+−8x=16

(6x+−8x)+(24)=16(Combine Like Terms)

−2x+24=16

−2x+24=16

Step 2: Subtract 24 from both sides.

−2x+24−24=16−24

−2x=−8

Step 3: Divide both sides by -2.

-2x/-2=-8/-2

x=4

Answer:

X=8

Step-by-step explanation:

First you distribute the 6 to the x and the 4 which gives you, 6x+4x-8x=16 , From there you would add 6x and 4x which gives you 10x. Then you would subtract 8x and that gives you 2x. Now you have 2x=16, then you divide by 2 on both sides. That gives you x=8

PLEASE PLEASE HELP ME!

Answers

Answer:

I don' t understand what you need help with

The probability of drawing two green jacks from a bag at random without replacement is 227 .

The probability of drawing a green jack first is 27 .

What is the probability of drawing a second green jack, given that the first jack drawn was green?

4/189
10/189
7/27
68/189

Answers

Answer:

7/27 or C in other words.

PLS HELP WILL MARK BRAINIEST

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The slope is y = -x + 2

Eric had to put together the metal frame of a bed. On the instructions, the length
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on the instructions, what was the actual length of the metal bed frame? How do
you know?

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Answer:

The answer is 6.4. And i know because 4x1.6=6.4


x-2y=3
4x -8y = 12
Substitution

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Answer:

Solution in photo

Step-by-step explanation:

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