14. Higher Order Thinking Does Cavalieri's Principle apply to the volumes of the cones shown? Explain

14. Higher Order Thinking Does Cavalieri's Principle Apply To The Volumes Of The Cones Shown? Explain

Answers

Answer 1

9514 1404 393

Answer:

  yes

Step-by-step explanation:

At each height above the base, the cross section of each cone shown is the same (a circle with the same diameter), so Yes, Cavalieri's Principle applies.


Related Questions

The area: is about? UHH anyone know this??!!

Answers

3/4 I think I’m not for sure

Answer:

1.77 ft.^2

Step-by-step explanation:

What we know: diameter of circle is 1.5

What we need: the radius to find the area of a circle

What we can do: Divide 1.5 by two to get the radius(since the diameter is twice the radius : radius x 2 = diameter)

Math -->  1.5 divide by 2 = .75

What we need to know: Formula of finding Area of Circle is  A=(pie)r^2

Insert what we know: A=(pie).75^2

Work out problem(do radius to the second power first)#1:  .75^2 =  .5625(unrounded)

Work out problem(multiply number by pie))#2: .5625 multiplied by (pie) = 1.7671458676442586966352369030947‬

Round Answer to nearest hundredth: 1.77 ft.

Note: I use the pie sign for this problem. So I used : 3.1415926535897932384626433832795‬

I used a scientific calculator for the calculations.

^2 is added after the unit to show Area.

To the second power  is multiplying the number by itself. Example: 4^2 = 16 = 4 x 4

( -5/3 ) exponent 2 = ?

Answers

Answer:

25/9

Step-by-step explanation:

I did it on mathaway

Answer:

25/9 or 2.78

Step-by-step explanation:

(-5/3)²= -5/3 x -5/3=

-5x-5= 25

3x3= 9

=25/9

Decimal form: 25/9= 2.777

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Answers

Answer:

Th first one

Step-by-step explanation:

The sum of two numbers is 58. Twice the second
number subtracted to four times the first number is
28. Find the two numbers.

Answers

Answer:

Step-by-step explanation:

a+b=58 and 4a-2b=28 is the system of equations

solving the first for a, a=58-b, using this value for b in second equation is

4(58-b)-2b=28

232-4b-2b=28

232-6b=28

-6b=-204

b=34, and since a=58-b

a=58-34

a=24

So the two numbers are 24 and 34

the bar graph shows the results of spinning a spinner 100 times. use the bar graph to find the experimental probability of the event.

Spinning a 2

Answers

Answer:

you will have an 18% chance of rolling a 2.

Step-by-step explanation:

18/100 = 18

The probability of spinning an even number is 39/10

What is probability?

Probability can be defined as the ratio of the number of favorable outcomes to the total number of outcomes of an event.

Here, we have,

to determine the probability of spinning an even number.

The missing bar chart is added as an attachment

The bar chart (see attachment) represents the graph that would be used to calculate the required probability

On the bar chart, we have the sample size of the even number

Even number = 18 + 21

Even number = 39

So, we have

P(Even) = Even/Total

By substitution. we have

P(Even) = 39/100

Hence, the probability is 39/100

Read more about probability at

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What is the slope of y= -4y

Answers

If you mean -4x the slope is -4

Answer: 0

Step-by-step explanation:

Trust me this is right.

Ben is laying a triangular brick patio beside his wood deck.
25 ft
10 ft
12 ft
What is the area of the brick patio?

Answers

Answer: 300

Step-by-step Explanation:

Whenever u see the word ‘area’ in a math equation, you always multiply! :)

The integer 4 more than -5 is??

Answers

Answer:

-1

Step-by-step explanation:

Add 4 to -5

-5 + 4 = -1

Start at -5 on the number line and count 4 units to the right.

-4, -3, -2, -1

We end up at -1.

Answer: -1

You can also add -5 + 4 = -1.

Either way you will get -1.

Which solution set is graphed on the number line?
-4 -3 -2
-1
0
1
2
3
4
"x21
C
X> 1
x < 1
X31

Answers

Answer:

for this one option C will be your answer

Step-by-step explanation:

Juan has 36 in of string how many 3 and 1/4 in pieces can one cut from the string? a. 8 b.9 c.11 d.12?​

Answers

Answer:

c. 11

Step-by-step explanation:

36 divided by 3.25 is a little over 11. That little extra is a remainder and cannot be put into 3.25 again, and so 11 is the right answer.

Juan can cut a maximum of 11 pieces from the string.

What is a fraction?

A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.

We have two types of fractions.

Proper fraction and improper fraction.

A proper fraction is a fraction whose numerator is less than the denominator.

An improper fraction is a fraction where the numerator is greater than the denominator.

Example:

1/2, 1/3 is a fraction.

3/6, 99/999 is a fraction.

1/4 is a fraction.

We have,

To find out how many 3 and 1/4-inch pieces Juan can cut from his 36-inch string, we can divide the length of the string by the length of each piece.

First, we need to convert 3 and 1/4 inches to a decimal form:

3 and 1/4 inches = 3.25 inches

Now we can divide the length of the string by the length of each piece:

36 inches ÷ 3.25 inches/piece ≈ 11.08 pieces

Thus,

Since Juan cannot cut a fraction of a piece, he can cut a maximum of 11 pieces from the string.

Learn more about fractions here:

https://brainly.com/question/24370499

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Ji-yoon bought 30 boxes of softballs at the beginning of the season.
Each box contained 6 softballs. Ji-yoon gained an additional 29
softballs so far this season. Which equation represents the number of
softballs, b, that Ji-yoon has now?

Answers

Answer:

b=(30×6)+29

Step-by-step explanation:

Hope this helps :)

Compute the probability that a five-card poker hand is dealt to you that contains all hearts.

Answers

Answer:

the probability of this happening is 13 out of 52 chance.

Please anyone help me on this

Answers

Answer:

1

Step-by-step explanation:

(f-g)(x) = f(x) - g(x)

or we can also do

(f-g)(x) = 5x - |x + 7|

f(2) = 5*2 = 10

g(2) = |2 + 7| = |9| = 9

(f-g)(2) = f(2) - g(2) = 1

How to solve? Would you divide by 4? 4 representing the four corners

Answers

Answer:

paper left = 168.56 units²

Step-by-step explanation:

first, figure the area of the square:

area of square = 28x28 = 784 units²

second, figure the area of the circle:

radius = 1/2of 28 = 14

area of circle = Pi x Radius² = (3.14)(14)² = 615.44 units²

subtract area of circle from area of square:

784 - 615.44 = 168.56 units²

NEED MAJOR HELP PLEASE IM BEGGING ASAP

Answers

Answer:

12

Step-by-step explanation:

proportions

Write an equivalent expression to
show the relationship between
multiplication and addition,
3x5

Answers

I’m not 100% sure what you’re asking for but

5+5+5
3+3+3+3+3
5x3
3x5

which of the following solutions is the most acidic A. a solution is the most acidic B. a solution with pH of 2 C. a solution with pH of 7 D. a solution with a pH of 9

Answers

Answer:

to gorvenit means group

Suppose you go to a company that pays 0.05 for the first day, 0.1 for the second day, 0.2 for the third day and so on. If the daily wage keeps doubling, what will your total income be for working 30 days ?
Total Income =

Answers

Answer:

I think the correct answer is $26,843,545.6

Step-by-step explanation:

A triangle has angle measurements of 72°, 32°, and 76º. What kind of triangle is it?
acute
right
obtuse

Answers

Acute becaus all angels are 90

which of the following pairs consists of equivalent fractions. 12/20 snd 20/25, 5/6 and 6/5, 6/12 and 3/4, 3/9 and 5/15.​

Answers

Answer:

3/9 and 5/15

Step-by-step explanation:

12/20 and 20/25

1st fraction Divide by 4 , 2nd fraction Divide by 5

3/4 ≠ 4/5

5/6 and 6/5

5/6 ≠ 6/5

6/12 and 3/4

1st fraction Divide by 3

2/4 ≠ 3/4

3/9 and 5/15

1st fraction Divide by 3 , 2nd fraction Divide by 5

1/3 = 1/3

So, pair 3/9 and 5/15 is equivalent fractions

1. How many triangle make a trapezoid

Answers

I believe the answer is 3 triangles make a trapezoid.

A trapezoid consists of two triangles.

A trapezoid does indeed contain two triangles within its structure. A trapezoid is a quadrilateral with one pair of parallel sides.

The other two sides, known as the legs, are not parallel and meet at a point. These legs, along with the two parallel sides, form two triangles within the trapezoid.

One triangle is formed by connecting the two legs and one of the parallel sides. The other triangle is formed by connecting the two legs and the other parallel side.

So, a trapezoid consists of two triangles.

Learn more about Trapezoid here:

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radius = 3 4/5 m
Hubby bbb bbb.

Answers

the radius in the equation in the solution in the number is 2

Answer: 2

Step-by-step explanation:

Tilly the dog barks every 9 seconds.
Billy the dog barks every 12 seconds.
They both bark at the same time.

After how many seconds will they next bark at the same time?

Answers

Answer:

36 seconds

Step-by-step explanation:

36 is the lowest common multiple of 9 and 12.

According to this question, you must find the L.C.M

So,

L.C.M. (Least.Common.Multiple)

●You divide by prime numbers

●You take common and uncommon ones

●You Multiply

9= 3×3

12=2×2×3

L.C.M= 3× 2×2×3

=36 seconds

ANSWER= 36 SECONDS

what is the formula to calculate the perimeter of the circle​

Answers

Answer:

2πr

Step-by-step explanation:

when we use this formula it will come ans

please i think it is right

please follow me ok

Answer:

Hey mate......

Step-by-step explanation:

This is ur answer.......

C = 2πr

Hope it helps you!

Mark me brainliest pls......

Follow me! :)

pls i need help with this math question what is 17 - 12





Answers

17 - 12 = 5
Hope this Helps!
the answer is 17-12=5 :))

Jeff bought 3 bags of chips and some salsa. the salsa was 2.88. And the total cost was 7.35.. What was the cost of the chips

Answers

Answer:

$1.49 per bag $4.47 for all 3

Joe added 1,500 liters of water to his pool. How many kiloliters did he add to his pool?

Answers

Answer:

1.5 kiloleter

Step-by-step explanation:

1 kiloleter = 1000 liters

so

1500 liters = 1.5 kiloleters

pls mark brainliest if possible lol

Answer:

1 1/2 kl

Step-by-step explanation:

1 kiloliter is a 1,000 liters, so 1 liter and 500 is 1/2 of 1,000

Which theorem is the following?
"If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment"

Answers

Answer:

Perpendicular bisector theorem

Step-by-step explanation:

The illustration of the theorem is:

If point B is a perpendicular bisector of Line AC and the length of AC is 10cm

Then

[tex]AB + BC = 10[/tex]

Where

[tex]AB = BC[/tex] --- Perpendicular bisector

So, the equation becomes

[tex]AB + AB =10[/tex]

[tex]2AB =10[/tex]

[tex]AB = 5[/tex]

Recall: [tex]AB = BC[/tex]

[tex]AB = BC = 5[/tex]

Use the equation √4x+15 - 3√x How many potential solutions are there? ​

Answers

There is one potential solutions and no extraneous solutions.

Answer:

potential solutions- 1

extraneous solutions- 0

solution to equation- x=3

Step-by-step explanation:

Someone please help meeee

Answers

Answer:

D

Step-by-step explanation:

if you look at the height it is on y intercept 6

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