A pyramid and a cone are both 10 centimeters tall and have the same
volume. What statement must be true about the two solids?

A. The vertical cross-sections of the pyramid and cone at the same
width must have the same area,
B. The area of the cross-sections of the pyramid and cone are
multiples of each other,
C. The horizontal cross-sections of the pyramid and cone at the
same height must have the same area
D. The cross-sections of the pyramid and cone are the same shape

Answers

Answer 1

9514 1404 393

Answer:

  C. The horizontal cross-sections of the pyramid and cone at the same height must have the same area

Step-by-step explanation:

Cavalieri's principle says that solids with corresponding cross sections of the same area will have the same volume. Statement C is the converse of this principle.


Related Questions

Determine the maximum or minimum value of the following quadratic function. LaTeX: f\left(x\right)=-3\left(x+5\right)^2-1f ( x ) = − 3 ( x + 5 ) 2 − 1

Answers

Answer:

Step-by-step explanation:

[tex]y=-3(x^2+10x+25)-1\\ \\ y=-3x^2-30x-76\\ \\ dy=-6x-30\\ \\ d^2y=-6\\ \\ \text{Since the second derivative is always negative, when the first derivative is equal to zero the function will be at a global maximum.}\\ \\ dy=0=-6x-30\\ \\ x=-5\\ \\ f(-5)=-1\\ \\ \text{So the global maximum occurs at the point (-5,-1)[/tex]

Two functions are shown below

f(x)=8x+10
g(x)=6x-4

What is f(4)-g(3)?

Answers

Answer:

c.28

Step-by-step explanation:

Given

f(x) = 8x + 10 and g(x) = 6x - 4

f(4) = 8*4 + 10

    = 32 + 10

    = 42

g(3) = 6 * 3 - 4

      = 18 - 4

      = 14

Now

f(4) - g(3)

= 42 - 14

=28

hope it will help :)

C answer final because f(x) = f(4); g(x) = g(3)
f(4)= 8(4)+10= 42
g(3)= 6(3)-4= 14
f(4)- g(3)= 42-14= 28

Wayne spends 1/6th of an hour walking his dog. How much time does Wayne spend walking his dog in a week? *

Answers

Answer:

10 minutes

Step-by-step explanation:

This is somewhat of a trick question and also incomplete.

Assuming he walks his dog 1/6th of an hour each week, he walks his dog 10 minutes per week.

If this is incorrect please tell me the complete question

HELP: find the measure of the arc or angle indicated, assume that lines which appear tangent are tangent

Answers

Answer:

3) B. 65°4) D. 120°

Step-by-step explanation:

Question 3

Angle formed outside is half of the difference of intercepted arcs

m∠F = 1/2(( 360° - 115°) - 115°) = 1/2(130°) = 65°

Correct choice is B

Question 4

Angle formed by two chords is half of the sum of intercepted arcs

m∠WTU = 1/2(105° + 135°) = 1/2(240°) = 120°

Correct choice is D

A company claims that their new bottle holds 40% more laundry soap. If their original container held `53` fluid ounces of soap, how much does the new container hold?

Answers

Answer:

I need help to sooo yeah

Step-by-step explanation:

Soryy

The Roaming Cell Phone Company charges $15.00 per month plus $0.20 per minute of
airtime usage. If Juanita uses x minutes of airtime, what is an equation that can be
used to determine her monthly cell phone bill (C)?

Answers

Answer:

  15xc + 0.20x(X)

Step-by-step explanation: Looks complex but hope this helps

I'll give brainlist to the person that answers

Answers

Answer:

67.6

Step-by-step explanation:

area = 158/360 * 49 * pi = 67.56

There are 72 conkers in a bag.
Mo takes of them
Alexa takes .
How many do they have in total?

Answers

Answer:

72

Step-by-step explanation:

Write a number with one decimal place, that is bigger than 3 2/3
but smaller than 4​

Answers

Answer:

Since 15 is greater than 8, the correct expression will be:

15 > 8

Since 4 is less than 134, the correct expression will be:

4 < 134

Since 3 is less than 5, the correct expression will be:

3 < 5

Since 351 is greater than 215, the correct expression will be:

351 > 215

Step-by-step explanation:

The greater a decimal is, the closer it is to one whole. The smaller a decimal is the farther it is from one whole. The first thing you need to look at is the digit number in each decimal. These each have two digits in them, so you can compare them right away

Answer:

3.9........................

Help me pls pls pls p

Answers

Answer:

L= 90, M=53, K=37

Step-by-step explanation:

Tilt your phone/computer to the right, and you'll see the 90° angle for L. Now you're left with two more, and just compare which angle is bigger, K or M. M is bigger, so you apply the bigger number out of the you got which is 53. Now no doubts, K is 37.

ABC is reflected over the y-axis what are the vertices of A'B'C'

Please help this is for my final

Answers

Answer: It is D

Step-by-step explanation: its is the placement Pretty basic.

Answer: D

Step-by-step explanation:

ap3x verified!!!

Check the picture and thanks

Answers

Answer:

I think the answer would be 'a'

What is the length of segment of A’B?

Answers

Answer:

8

Step-by-step explanation:

8

if both triangles are the same, the lengths will be the same

Find the value of x.

Answers

Answer:

The answer is 148 or D

Step-by-step explanation:

The line has 180 degrees total, to find the answer you subtact 32 from 180. This leaves you with 148.

Answer: x = 148°

Step-by-step explanation: All supplementary angles equal 180°. So you subtract 32° from 180° (180°-32°) and get your answer.

Plz help will mark you brainliest if correct

Answers

Answer:

B

Step-by-step explanation:

5/1 is not equal to 6/2 or 7/3 or 8/4

Answer:

The answer would be B instead of D

Simplify the expression please!!

4( -2p + 8)

Answers

the answer is -8p+32

will give brainliest

Answers

I believe it should be 5

Step-by-step explanation:

I believe this because 16÷8=2 so 10÷2=5

I need help with 2.04, 2.06 and 2.08!!

Answers

Answer:

Sorry I can't help with2.08

Hope the remaining helped

PLS mark BRAINLIEST

Can someone tell me the equation of this graph
1. f(x)=1/4x + 4
2. y=1/2x + 4
3. y=2x + 4
4. f(x)= - 2/3x + 4

Answers

Answer:

3. y=2x + 4

Step-by-step explanation:

We know that b is 4 because of the point (0,4)

Now count the slope by using rise over run

We go up 2 and over 1 so the slope is 2

What is the simplified expression for the expression below? -1(2x + 3) - 2(x - 1) O 4x+ O 4x - 2 o 4x + 2 0 4x -​

Answers

Given:

The expression is:

[tex]-1(2x+3)-2(x-1)[/tex]

To find:

The simplified form of the given expression.

Solution:

We have,

[tex]-1(2x+3)-2(x-1)[/tex]

Using distributive property, we get

[tex]-1(2x+3)-2(x-1)=-1(2x)-1(3)-2(x)-2(-1)[/tex]

[tex]-1(2x+3)-2(x-1)=-2x-3-2x+2[/tex]

On combining like terms, we get

[tex]-1(2x+3)-2(x-1)=(-2x-2x)+(2-3)[/tex]

[tex]-1(2x+3)-2(x-1)=-4x-1[/tex]

Therefore, the simplified form of the given expression is [tex]-4x-1[/tex].

Note: The correct option is not available.

need more help on this question

Answers

79
hope this helped

Answer: 79

Step-by-step explanation:

6 ÷ 3 + 9 x² - 4=79

Need help with geometry pls picture provided

Answers

Answer:

y= 30 x=15

set up your proportions for example 9/6 to y/20 and 9/6 to x/10 and then cross multiply

During the Martinez family trip, they drove from home to a ski lodge, a distance of 52 4 5 miles, and then drove an additional 14 4 5 miles to visit friends.

Answers

Answer:

[tex]134 \frac{6}{5}[/tex]

Step-by-step explanation:

The computation of the distance travelled is shown below:

Total distance would be

[tex]= 52 \frac{4}{ 5} + 14 \frac{ 4}{5}\\\\= \frac{264}{5} + \frac{74}{5}\\\\= \frac{338}{5}[/tex]

Now if the same route would taken again in order to back home

So, the total distance would be doubled

[tex]= \frac{338}{5} \times 2\\\\ = \frac{676}{5} \\\\= 134 \frac{6}{5}[/tex]

The value of y varies directly with x, and y = -2 when x = -4. Find y when x = 8.

Answers

Answer:

y = 4

Step-by-step explanation:

8 ÷ -4 = -2

so, multiply each side by -2

-2 x -2 = 4

when x = 8, y = 4

What is the answer 30 points to who ever finishes.

Answers

Answer:

the answer to what?

Step-by-step explanation:

theres no file attached, i think u forgot...

PLEASE HELP!!!
A ladder leans against a brick wall. The foot of the ladder is 6 feet from the wall. The ladder reaches a height of 15 feet on the wall. Find to the nearest tenth, the angle the ladder makes with the wall. Show Work..

Answers

Answer and Step-by-step explanation:

Answer is in picture.

We have to use the trig function Tangent, noted as tan.

Tan uses opposite over adjacent sides.

then, to get x by itself, you do [tex]tan^{-1}[/tex] (tan^-1)

#teamtrees #PAW (Plant And Water)

eric plotted the graph below to show the relationship between the temperature of his city and the number of cups of lemonade he sold daily: part a: describe the relationship between the temperature of the city and the number of cups of lemonade sold part b: describe how you can make the line of the best fit. write the approximate slope and y-intercept of the line of best fit. show your work, including the points that you use to calculate the slope and y-intercept.

Answers

Answer:

part A: the warmer the city temp was the more lemonade that was sold so a hotter day will sell more lemonade

part B: i used points 40,8 and 90,20 and got m= 25/6 then i did y=mx+b

90=25/6(1)+b

90/1=25/6+b

25/6   25/6

and then B= 21.6

Step-by-step explanation: im not sure if i did it right so i would check i havent done this since like the 6th grade like 4 years or so ago lol

please awnser this asap​

Answers

Answer:

240ft

Step-by-step explanation:

You have to multiply length x width x height In this case its 12 x 4 x 5

find the distance between (5,10) and (8,10)

Answers

Answer:

3

Step-by-step explanation:

d=√8-5 = √9 = 3

7 divided by 1,694 8 divided by 1,808 5 divided by 1,570 8 divided by 2.648

Answers

Answer:

.00413

.00442

.00318

3.02114

Step-by-step explanation:

I think the calculator is right

Answer:

.00413

.00442

.00318

3.02114

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