According to Cavaleri's Principle, if a cone and a pyramid have the same height, then

Answers

Answer 1

Answer:

Cavalieri's principle tells us that if 2 figures have the same height and the same cross-sectional area at every point along that height, they have the same volume.


Related Questions

Challenger elementary school has 800 students every Wednesday 12% of the students stay after school for the chess club. How many students attend the chess club on wednesdays?

Answers

Answer:

96 people

Step-by-step explanation:

i used a calculator

Given the following 4 numbers write a program that will determine which number is the smallest out of the 4.
Number 1 = 5, number 2 = 25, number 3 = 2, number 4 = 56

Answers

Answer:

2

Step-by-step explanation:

It's the smallest one.

The answer is number 2

How many arrangements are there of 12 distinct items?

Answers

Answer:

There are 479,001,600 arrangments of 12 distinct items.

Step-by-step explanation:

Arrangements of n items:

The number of possible arrangements of n itens is given by the factorial of n, that is:

[tex]A_{n} = n![/tex]

12 items:

[tex]A_{12} = 12! = 479001600[/tex]

There are 479,001,600 arrangments of 12 distinct items.

Factorise
1) 9a^2 - 6a​

Answers

Answer:

[tex]3a(3a - 2)[/tex]

Step-by-step explanation:

[tex]3(3a ^{2} - 2a) \\a(3a - 2) [/tex]

Whats the answer to these? (These are called Proper fractions.)

Jeremiah ran for 3/10 of a mile and then walked another 2/5 of a mile. How far did he travel in all?

Daniel read 4/5 books and Edgar read 1/2 books. How many more books did Daniel read than Edgar?

Jared drove 2/8 miles to the restaurant. He drove another 1/4 miles to the mall. How many miles did he drive in all?

Answers

Answer:

1: 7/10

2: 3/10

3: 4/8 (2/4 or 1/2 if you need to simplify it)

Step-by-step explanation:

1: Convert 2/5 to tenths by multiplying the denominator and numerator by two. 3/10 plus 4/10 is 7/10

2: Convert 4/5 and 1/2 to tenths.

4/5 is going to be 8/10, 1/2 is going to be 5/10.

Subtract 5/10 from 8/10 to get 3/10

3: Convert 1/4 to eighths to get 2/8. Then add 2/8 and 2/8 to get 4/8.

Jeremiah: convert the 5ths to 10ths
3/10 + 4/10 = 7/10

Daniel: convert both fractions to 10ths
8/10 - 5/10 = 3/10

Jared: reduce 8ths to 4ths
1/4 + 1/4 = 2/4 = 1/2

Find the length of arc AD. Use 3.14 for .
Round to the nearest tenth.
7.9 cm
B
66.4
C
[ ? ]cm
Enter

Answers

Answer:

Length of arc AD = 15.7 cm

Step-by-step explanation:

Length of arc = [tex]\frac{\theta}{360}(2\pi r)[/tex]

Here, θ = Central angle subtended by the arc

r = radius of the circle

From the picture attached,

Central angle subtended by arc AD = 360° - (180° + 66.4°)

                                                            = 113.6°

Length of arc AD = [tex]\frac{(113.6)}{360}(2\pi )(7.9)[/tex]

                             = [tex]\frac{113.6}{360}(2)(3.14)(7.9)[/tex]

                             = 15.655 cm

                             ≈ 15.7 cm

Length of arc AD = 15.7 cm

Answer:

12.4

Step-by-step explanation:

Just did it.

Use the distributive property to write an equivalent expression. (6+8)⋅x *

Answers

Answer: 14*x

Step-by-step explanation: I am 99% sure

How do I solve 1 1/3 × 2 2/4 in steps?​

Answers

Answer:

3 1/3

Step-by-Step

first step is too make a an improper fraction, 1 1/3 equals 4/3 and 2 2/4 equals 10/4. next your gonna multiply 4/3 and 10/4, 4x10=40,3x4 equals 12, so it would be 40/12. but its improper, we need to reduce it. the lowest number that can go in both numbers is 4. 40 divided by 4 =10. 12 divided by 4=3. 12/3= 3 1/3

Answer:

10/3

Step-by-step explanation:

That's 1 1/3 times 2 1/2.

Converting these into improper fractions, we get 4/3 times 5/2.

Multiplying (4/3) by (5/2), we get 20/6, or, after reduction, 10/3

Parents of children with developmental disorders can apply for federal funding, to help pay for psychosocial rehabilitation. A sociologist working for the annual Current Population Survey wants to know the percentage of applicants for this funding who are in poverty. She needs a sample of applicants from across the U.S., so she groups all of the applications by state and randomly selects applicants from each state. What sampling scheme did she use

Answers

Answer:

Stratified sampling

Step-by-step explanation:

key word "groups"

The sampling scheme did she used is stratified sampling.

What is stratified sampling?

It is a method of sampling where the division of the population should be split into the smaller subgroup called a strata. The strata should be created depending upon on the members shared like the income etc. Here the sample should be needed for applicants for across the US also it randomly selects the applicants for each state.

So, The sampling scheme did she used is stratified sampling.

Learn more about a sample here: https://brainly.com/question/24526520

1
Which graph corresponds to the table of values?
х
2
4
5
у
-2
2
4
А
С
B
D

Answers

Answer:

c

Step-by-step explanation:

The side lengths of four triangles are listed below. Determine whether each triangle is a right triangle Choose Yes or No for each set of side lengths.
a. 4,5,6 Yes No
b. 5, 12, 13 Yes No
C. 8, 15, 17 Yes No
d. 10, 15, 20 Yes No​

Answers

Answer:

yes, yes, no, no

Step-by-step explanation:

In order to determine if it’s a right triangle, use the following formula:

c2= a2 + b2

A. 16 + 25 = 36 NO.
B. 25 + 144 = 169 YES.
C. 64 + 225 = 289 YES.
D. 100 + 225 = 400 NO.

You basically multiply each number by itself and then;
Add a2 + b2.
If the sum matches c2,
Then it is a right triangle!

Please help!!! Find the side length of a

Answers

Answer:

B

Step-by-step explanation:

√c^2-b^2

√15^2-9^2

√225-81

√144

= 12

B

It’s B -15 because if you do a^2 + b^2= c^2 you’ll get the answer

Please I need help it’s an emergency

Answers

Answer:

the answer is 36

Step-by-step explanation:

beacuse if we use the pythagorean theorem for 9 and 12 we get 15 which means that the perimeter is P=9+15+12=36

... Helppppp!! will mark brainiest

Answers

Answer: The answer is C

Step-by-step explanation:

C is the answer because the base is +2 and the coefficent  is  1/2 which is rise over run so you go up one space and to the right two spaces.          

Which scatterplot demonstrates the strongest relationship between two quantitative variables?

A graph has x on the x-axis, and y on the y-axis. Points are scattered throughout the graph.
A graph has x on the x-axis, and y on the y-axis. Points curve up and then down in a line.
A graph has x on the x-axis, and y on the y-axis. Points increase loosely together.
A graph has x on the x-axis, and y on the y-axis. Points decrease loosely together.

Answers

Last one because they decrease together

The scatterplot demonstrates the strongest relationship is, a graph has x on the x-axis, and y on the y-axis. Points increase loosely together.

What is Correlation coefficient of scatterplot?

The correlation coefficient of scatterplot is used to demonstrate the relationship between variables.

When two variables increases together, they are said to have positive correlation.

When one is increasing and another is decreasing, they are said to have negative correlation.

When most of  data points form a straight line or lies close to the straight line, it indicates strong linear correlation.

From the given options;

Option A, zero correlation

Option B, less than 1

Option C, 1 or greater than 1

Option D, -1 or less than 1

Thus, the scatterplot demonstrates the strongest relationship between two quantitative variables is option C, "a graph has x on the x-axis, and y on the y-axis. Points increase loosely together".

Learn more about scatterplot here: brainly.com/question/6592115

#SPJ2

A bakery sold 210 vanilla cupcakes in a day, which was 42% of the total number of cupcakes sold that day. How many total cupcakes did the bakery sell that day?
PLEASE DONT SAY RANDOM ANSWERS ILL GIVE 15 POINTS

Answers

Answer:

88.2 is your answer.

Answer:500

Step-by-step explanation:on delta math

1 inch x 3/4 inch x 1/2 inch

Answers

Answer:

3/8

Step-by-step explanation:

Please help me with mathematics.​

Answers

Answer:

1.A+B=2y²+3x-x²+3x²-y²=+3x+2x²

2.A-B=2y²+3x-x²-3x²+y²=3y²+3x-4x²

3.B+C=3x²-y²+5x²-3xy=8x²-3xy-y²

4.B-C=3x²-y²-5x²+3xy=3xy-2x²-y²

5.A+B+C=2y²+3x-x²+3x²-y²+5x²-3xy

=y²+3x+2x²+5x²-3xy=y²+3x-3xy+7x²

6.A+B-C=y²+3x+2x²-5x²+3xy=y²+3x+3xy-3x²


How many digits will be in the quotient?
39) 4,641
1 digit
3 digits
2 digits
4 digits

Answers

Hopes this helps:

Answer: 4 digits

PLEASE HELP!!!!!! ILL GIVE BRAINLIEST *EXTRA 40 POINTS** !! DONT SKIP :((

Answers

yes, because if you put the x value and y value in the spots it’s correct

Answer:

yes

Step-by-step explanation:

2 + 16(1) = 18

2+16 = 18

2(2) + 11(1) = 15

4+11=15

what shape can be formed from the following net

Answers

Answer:

square pyramid

Step-by-step explanation:

Answer:

star

Step-by-step explanation:

25 POINTS
Solve this equation PLEASE AND STEPS
4=1/2(2x+4+x)(x-2)

Answers

Answer:

x=−2, 2.6666

Step-by-step explanation:

Let's solve your equation step-by-step.

4=(1/2(2x+4+x))(x−2)

Step 1: Simplify both sides of the equation.

4=3/2 x2−x−4

Step 2: Subtract 3/2x^2-x-4 from both sides.

4−(3/2 x2−x−4)=

3/2 x2−x−4−(3/2 x2−x−4)

−3/2 x2 +x+8=0

For this equation: a=-1.5, b=1, c=8

−1.5x2+1x+8=0

Step 3: Use quadratic formula with a=-1.5, b=1, c=8.

x=−b±√b2−4ac

2a

x=−(1)±√(1)2−4(−1.5)(8)

2(−1.5)

x=−1±√49

−3

x=−2,2.66666666666666666666666666666

7. Find the inverse of f(x) = -2x + 10. Please show work.​

Answers

Answer- y = - x/2 + 5

Step by step - Replace f (x) with y.

Y = - 2x + 10

Interchange the variables.

x= -2y + 10

Solve for y.

Y= x/2 +5

A square painting has a side length of 13 inches.
What is the area of the painting?
The area of the painting is
square inches.

Answers

Answer:

Step-⚫️_by-step explanation:

1. According to New Jersey Transit, the 8:00 a.m. weekday train from Princeton to New York
City has a 90% chance of arriving on time on a randomly selected day. Suppose this claim is
true. Suppose 6 days are chosen at random. Let X = the number of days on which the train
arrives on time.
(B) Find the mean of X. Interpret this value in context. SHOW YOUR WORK.

Answers

Okayuyyyyyyyyyyyyyyyyyyyyyyyyy

Francisco took $20.00 to the mall. He found a DVD he wanted on sale for 18.50. The sales tax rate in his state is 8%. DOe he have enough money to buy the DVD, including tax?

A. No he need an addional $1.48
B. Yes, and he has $0.02 left over.
C. No, he need an additional $13.30.
D. Yes, and he has $1.50 left over.

Answers

So times 18.50 by .08 to find the 8% tax which is 1.48. then add that to the original 18.50 totals $19.98.

So b is your answer

what is the answer to 5,082 / 5 =

Answers

Answer

If you mean 5082 ÷ 5 than the answer is 1016.4

Step-by-step explanation:

Hope it helps!

If the area of a circle is 50.25 meters what is the radius

Answers

Answer:

≈3.99938

Step-by-step explanation:

=3.399938


it’s the answer

reasons why students fail exams ​

Answers

The read is that they didn’t study that’s the answer ok shah

The results of a national survey showed that on average, adults sleep 6.3 hours per night. Suppose that the standard deviation is 1.6 hours. (a) Use Chebyshev's theorem to calculate the minimum percentage of individuals who sleep between 3.1 and 9.5 hours. % (b) Use Chebyshev's theorem to calculate the minimum percentage of individuals who sleep between 2.3 and 10.3 hours. % (c) Assume that the number of hours of sleep follows a bell-shaped distribution. Use the empirical rule to calculate the percentage of individuals who sleep between 3.1 and 9.5 hours per day. % How does this result compare to the value that you obtained using Chebyshev's theorem in part (a)

Answers

Answer:

a) 75%.

b) 84%

c) Within 2 standard deviations from the mean is 95%. The normal distribution has a higher percentage of observations closer to the mean than a non normal distribution, so this percentage is larger.

Step-by-step explanation:

Empirical Rule:

The Empirical Rule states that, for a normally distributed random variable:

Approximately 68% of the measures are within 1 standard deviation of the mean.

Approximately 95% of the measures are within 2 standard deviations of the mean.

Approximately 99.7% of the measures are within 3 standard deviations of the mean.

Chebyshev Theorem:

The Chebyshev Theorem can also be applied to non-normal distribution. It states that:

At least 75% of the measures are within 2 standard deviations of the mean.

At least 89% of the measures are within 3 standard deviations of the mean.

An in general terms, the percentage of measures within k standard deviations of the mean is given by [tex]100(1 - \frac{1}{k^{2}})[/tex].

In this question:

Mean: 6.3 hours

Standard deviation: 1.6 hours

(a) Use Chebyshev's theorem to calculate the minimum percentage of individuals who sleep between 3.1 and 9.5 hours.

3.1 = 6.3 - 2*1.6

9.5 = 6.3 + 2*1.6

Within 2 standard deviations, so the minimum percentage is 75%.

(b) Use Chebyshev's theorem to calculate the minimum percentage of individuals who sleep between 2.3 and 10.3 hours.

How many standard deviations from the mean?

One standard deviation is 1.6

These measures are 10.3 = 6.3 = 6.3 - 2.3 = 4. This is k standard deviations, in which

[tex]k = \frac{4}{1.6} = 2.5[/tex]

The minimum percentage is:

[tex]100(1 - \frac{1}{k^{2}}) - 100(1 - \frac{1}{2.5^{2}}) = 84%[/tex]

So 84%.

(c) Assume that the number of hours of sleep follows a bell-shaped distribution. Use the empirical rule to calculate the percentage of individuals who sleep between 3.1 and 9.5 hours per day.

Within 2 standard deviations from the mean is 95%. The normal distribution has a higher percentage of observations closer to the mean than a non normal distribution, so this percentage is larger.

Other Questions
if you had any My Hero akademia power which would it be? information regarding the satellites sent by India for educational and communicational purposes 3 1/3 - x for x = 5/6 Need help 6th grade work!! What was scientific racism seen in the eugenics movement 4. In the figure below, what is the value of x?130(x + 15) change in to conditional sentence i didn't read the instruction. i made a mistake A counselor does not have to break client confidentiality when given a court order to do so.TrueFalseplease help!! Help?The question is down below Read the first line from Henry Wadsworth Longfellows The Pslam of Life. What is the meter of this line from the poem?Tell me not, in mournful numbers,A. trochaic tetrameterB. iambic pentameterC. iambic dimeterD. dactylic trimeterE. anapestic hexametermy face | V DUE IN 5 MINUTES HELP In a sterile procedure why does the nurse have to label the tape with date,time (in military time), and initials? Through part of the 2017-18 National Basketball Association (NBA) season,two players had these statistics for the number of points they scored.Anthony Davis Kevin DurantPoints per game (mean): 25.9 26.0Mean average deviation: 6.6Based on these data, which statement is true?4.3A. On average, Kevin Durant scored many more points. The numberof points Durant scored also varied more.B. On average, Anthony Davis scored many more points. The numberof points Davis scored also varied more.C. On average, the two players scored about the same number ofpoints. The number of points Davis scored varied more.D. On average, the two players scored about the same number ofpoints. The variation in the number of points scored was alsoabout the same Similes, metaphors, and personification are examples of which type of language?literalvividemotivefigurative pllllllllllllllllllllllllllllllssssssssssssssssssssssssssssssss helppp ASAP what is photosynthesis ??? Hoffman Corporation issued $65 million of 5%, 20-year bonds at 104. Each of the 65,000 bonds was issued with 15 detachable stock warrants, each of which entitled the bondholder to purchase, for $26, one share of $1 par common stock. At the time of sale, the market value of the common stock was $31 per share and the market value of each warrant was $4. Prepare the journal entry to record the issuance of the bonds. (Enter your answers in millions rounded to 1 decimal place (i.e., 5,500,000 should be entered as 5.5). If no entry is required for a transaction/event, select "No journal entry required" in the first account field.) please please help !!! The quotient x of and 3 Why was Jefferson Davis important during the civil war? What did he do. Small paragraph please!