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

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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

Please ??????????????

Answers

Answers:

x = 12angle A = 35angle ABC = 65

============================================================

Explanation:

Let y be the measure of angle ABC.

We can see that y = 4x+17 because the two angles (y and 4x+17) are vertical angles. Vertical angles are always congruent.

-------------

From here, focus entirely on the interior angles of triangle ABC.

Recall that for any triangle, the interior angles always add to 180

A+B+C = 180

(x+23)+(y)+(80) = 180 ..... plug in the given angle measures

(x+23)+(4x+17)+(80) = 180 .... replace y with 4x+17

5x+120 = 180 ..... combine like terms

5x = 180-120 ..... subtract 120 from both sides

5x = 60

x = 60/5 ..... divide both sides by 5

x = 12

Now use that x value to find the following:

angle A = x+23 = 12+23 = 35angle ABC = y = 4x+17 = 4*12+17 = 48+17 = 65

--------------------------

In short we have this summary of values we found:

x = 12angle A = 35angle ABC = 65

X=12
Angle A=35
And angle ABC=65

hi! like almost everyone else on here, I'm probably gonna fail so uh help, please? In your own words explain how to multiply/divide radical expressions? How do you know if you can or cannot simplify them?

Answers

Answer:

It does not matter whether you multiply the radicands or simplify each radical first. You multiply radical expressions that contain variables in the same manner. As long as the roots of the radical expressions are the same, you can use the Product Raised to a Power Rule to multiply and simplify.

Step-by-step explanation:

At the school carnival, Jade has a game booth with a spinner. The banner at her booth reads "20% chance of winning!" What is the chance that a player may not win?
40%
50%
80%
90%

Answers

Answer:

80 %

Step-by-step explanation:

100 % - 20 % = 80 %

Answer:

yea i took the test its 80%

Step-by-step explanation:

The quotient x of and 3

Answers

Easy :)

Quotient means dividing something by something else.

So,

Quotient of x and 3 is x3

If the question says Quotient of x and 3 minus 8 then you can write it as x3-8

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Four cards labeled A, B, C, and D are randomly placed in four boxes labeled A, B, C, and D. Each box receives exactly one card.

In how many ways can the cards be placed in the boxes?

Answers

Answer: 16 different ways

Step-by-step explanation:

pllllllllllllllllllllllllllllllssssssssssssssssssssssssssssssss helppp ASAP

Answers

Answer: substitution

Step-by-step explanation:

Substitute 3 in for x for all equations.

3(3)+4 = 13

8(3)-1 = 23

3(3)+4 =13

Add all of the sides together to find the perimeter

13+23+13 =49

4. In the figure below, what is the value of x?
130°
(x + 15)

Answers

Answer:

The answer to this will be 35 because both equations have to equal 180 degrees

Step-by-step explanation:

Hope this Helped

Find the circumference of a circle with diameter, d = 26cm.Give your answer in terms of π
.

Answers

Answer:

C≈81.68

d Diameter

Using the formulas

C=2πr

d=2r

Solving forC

C=πd=π·26≈81.68141

Step-by-step explanation:

Hope it is helpful.....

Can someone please help me show my work for 6. And 7. I really need help and haft to show how I got the answers I’ll give the brainly to the brainliest :)

Answers

Answer 6
4x -2y +3z^4
4(0) - 2(1) + 3(2)^4
0 - 2 + 24
Answer7

how to round 8.798 to the nearest cent

Answers

Answer:

8.80

Step-by-step explanation:

Answer:

8.80

Step-by-step explanation:

The hundredths place is occupied by the 9.

First, drop the last 8.

8.79

Since the digit to the right of the dropped 9 is an 8, you round up.

8.79 becomes 8.80

Answer: 8.80

Find the area of the figure

Answers

Answer:

Answer is 50 m squared

Step-by-step explanation:

Answer: 32.5cm

Step-by-step explanation:

i hope this helps

list multiples of a given whole number.

Answers

Answer:

The multiples of a whole number are found by taking the product of any counting number and that whole number. For example, to find the multiples of 3, multiply 3 by 1, 3 by 2, 3 by 3, and so on. To find the multiples of 5, multiply 5 by 1, 5 by 2, 5 by 3, and so on.

Step-by-step explanation:

5 × 1 = 5

5 × 2 = 10

5 × 3 = 15

5 × 4 = 20

2 × 1 = 2

2 × 2 = 4

2 × 3 = 6

2 × 4 = 8

2 × 5 = 10 and so on

can anyone help? i rlly need help !

Answers

They cross each other at (5,2)

answer: 5,2 because they cross over eachother

i don’t get scientific notation. can someone help me on this?

Answers

Scientific notation is a way of expressing numbers that are too large or too small to be conveniently written in decimal form. It may be referred to as scientific form or standard index form, or standard. Scientific notation is a way of writing very large or very small numbers. A number is written in scientific notation when a number between 1 and 10 is multiplied by a power of 10. For example, 650,000,000 can be written in scientific notation as 6.5 ✕ 10^8.

A store pays $24 for a jewelry box and marks the price up by 20%. What is the amount of
the mark-up?

Answers

Answer:

$4.8

Step-by-step explanation:

$24×20/100=$4.8

A town council wants to conduct a survey on town policies using a random sample of residents.
Which method would result in a random sample?
A
Ask all residents having lunch at a local restaurant
B Ask the first 5 residents who visit town hall after it opens
С
Draw slips of paper with names of residents out of a large box.
D
Print survey forms on postcards and have residents mail their responses

Answers

Answer:

Step-by-step explanation:

Answer:

The correct answer is C. Draw slips of paper with names of residents out of a large box.

Step-by-step explanation:

Hope it helps-

Find the missing angle

Answers

Answer: 110 degrees

Step-by-step explanation:

30+40=70

180-70=110

The cone and cylinder below have equal surface area

Answers

I think the answer is true.

Answer:

Step-by-step explanation:

It's false AP appove

Need help 6th grade work!!

Answers

for 3 batches:
shortening- 12
baking powder- 6
flour- 15

for 4 batches:
shortening- 16
baking powder- 8
flour- 20

what is the value of x?
12
15
20
24

Answers

Answer:

Step-by-step explanation:

A shopkeeper buys a stove from a manufacturer for $100.The selling price if he makes a profit of 15%

Answers

Answer:Selling Price = $115

Step-by-step explanation:

Selling price = Cost price + Profit

Cost price = $100

Profit = 15% = 15% x 100 = $15

Selling Price = $100 + $15= $115

Selling Price = Cost price + Profit

Selling Price =$100 + (15% of $100)

Selling Price = $100+ $15

= $115.

Help with this please

Answers

Answer:

$1.21 per song

Step-by-step explanation:

6 × $1.21 = $7.26

17 × $1.21 = $20.57

20 × $1.21 = $24.50

What is the image of (-8,- 7) after a dilation by a scale factor of 2 centered
at the origin?

Answers

Answer: (-16, -14)

==========================================================

Explanation:

To get that result, you multiply each coordinate by the scale factor 2

We have

-8*2 = -16-7*2 = -14

So that's why (-8,-7) moves to (-16, -14)

This trick only works if the origin is the center of dilation.

Step-by-step explanation:

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33 POINTS! Right answer gets brainliest

Find the area of the shape below.

Answers

Answer: 112.5 m^2

Step-by-step explanation:

Area of rectangle = lw

l = 7.5

w = 15

7.5 * 15 = 112.5

Answer:

112.5 Meters

Step-by-step explanation:

The Area is length x width.

7 1/2 meters x 15 meters is equal to 112.5 meters to therefore the Area of that rectangle is 112.5 meters.

DUE IN 5 MINUTES HELP

Answers

Answer:

If its asking to translate by (-5,3) then the answer is the following.

A'(-2, 3)

B'(-1, 1)

C'(-4, 0)

Help!! Screenshot below.

Answers

X=60 and if you plug in 60 to that equation, it equals 15.

1/4 x 60 =15

Hope this helps!

Answer:

Step-by-step explanation:

person above is correct

6(t - 1) = 9(t - 4)
t = ?

Answers

t = 43

My reasoning is that I just did this and if you were to times 4 x 9 you would get minus ce tre avergae t pens

Please help

I just have 3 minutes please

Answers

Answer:LN

Step-by-step explanation:

3 1/3 - x for x = 5/6

Answers

Answer:

2 1/2

Step-by-step explanation:

3 1/3 = 10/3 = 20/6

20/6-5/6=15/6

15/6=5/2=2 1/2

A teacher bought pencils for $14.99, but she knows the store bought them for $8.50. What is the percent markup to the nearest whole?

Answers

Answer:

43% markup.

Step-by-step explanation:

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