These cones are similar. find the volume
of the smaller cone. round to the
nearest tenth.
2cm 3 cm
volume = [ ? ] cm3
volume = 66 cm3

Answers

Answer 1

The volume of the smaller cone is approximately \(5.5 cm^3\), rounded to the nearest tenth

If the cones are similar, then the ratio of the corresponding dimensions of the cones is the same.

Let's denote the height and radius of the smaller cone as h and r, respectively. Then, the height and radius of the larger cone are 3h and 2r, respectively.

Since the volumes of the cones are proportional to the cube of their radii and heights, we can write:

(volume of smaller cone) / (volume of larger cone) = \((r^2 * h) / ((2r)^2 * 3h)\)

Simplifying this expression, we get:

(volume of smaller cone) / (volume of larger cone) = 1/12

Since we are given that the volume of the larger cone is \(66 cm^3\), we can solve for the volume of the smaller cone as follows:

(volume of smaller cone) =\((1/12) * (66 cm^3) = 5.5 cm^3\)

To know more about cones  refer here

https://brainly.com/question/1142336#

#SPJ11


Related Questions

if you get it right, you are a critical thinker. you were in the garden, there are 34 people in the yard. you kill 30. how many people are in the garden. i won against

Answers

There is only one person in the garden.

How to determine the number of people that remain?

The given parameters are

There are 34 people in the yard You kill 30 people

So the number as per the riddle is that the yard and the garden are the same

So, it means that you killed 30 people and the other 4 people escaped from the backyard.

So if the other 4 people escaped, the implication is that only the killer is left in the garden

In conclusion, the killer should understand that out of fear, all that were not killed will run away and he will be left alone. This means that only the killer was left = 1 person

Learn more about riddles on https://brainly.com/question/478260

#SPJ1

You have a total of 12 cards in four different colors. The probability of drawing a green card is the same as the probability of drawing a yellow card. The probability of drawing a red card is 1-4 and of drawing a blue card is 1-12. How many green cards are in the box

Answers

Answer:

4

Step-by-step explanation:

Let's start with the easiest bits.

     We know the probability of drawing a red card is 1/4, this means every four cards there is one red. So, 12/4 = 3, there are 3 red cards in the 12 card pile.

    Next, we are also given the probability of drawing a blue card us 1/12. In the same fashion, we can figure out there is 1 blue card.

Finally, we are told the probability of drawing a green card is the same as drawing a yellow card. Therefore there is the same amount of green cards as yellow.

There are 8 cards left that are green or yellow, as 12 - 1 - 3 is 8. 8/2 is 4, so there are 4 green cards in the box.

Hope this helps!

Find the volume:
20 ft.
18 ft.
4 ft.
4 ft.

Find the volume:20 ft.18 ft.4 ft.4 ft.

Answers

Answer:

Both Triangle faces' area are 36. You'll need to multiply 36 by 2. now you need to multiply 4 by 20 which then would be 400. multiply 400 by 2 which would be  800. Now going back to 36 by 2 would be 72. Now 72·400=28800.

Step-by-step explanation:

Since it's a triangle prism , you find the area of the 2  triangle faces and than multiply the 2 faces and then multiply the the rest of the other numbers

Answer:

Step-by-step explanation:

Triangle faces' area are 36. You'll need to multiply 36 by 2. now you need to multiply 4 by 20 which then would be 400. multiply 400 by 2 which would be  800. Now going back to 36 by 2 would be 72. Now 72·400=28800.

Step-by-step explanation:

Since it's a triangle prism , you find the area of the 2  triangle faces and than multiply the 2 faces and then multiply the the rest of the other numbers


Find the value of x in
2x+3y= 22
3x + y = 19

Find the value of x in2x+3y= 223x + y = 19

Answers

\(2x+3y=22\\3x+y=19|\cdot(-3)\\\\2x+3y=22\\\underline{-9x-3y=-57}\\-7x=-35\\x=5\)

Find the percent of change from 3,545 pt to 709 p

Answers

Answer:

80%

Step-by-step explanation:

We need to find the percent of change from 3,545 pt to 709 pt.

Original value is 3,545

Changed value is 709

Percent change is given by :

\(\%=\dfrac{\text{difference in values}}{\text{original value}}\times 100\\\\\%=\dfrac{3545-709}{3545}\times 100\\\\\%=80\%\)

So, there is 80% of change from 3,545 pt to 709 pt.

What is the area of this rectangle? (area=length*width)

What is the area of this rectangle? (area=length*width)

Answers

Step-by-step explanation:

we know that,

area of rectangle = length × breadth

Now,

rectangle PQRS has it's

breadth = 3

length = 4+b

Then,

area of rectangle PQRS = (4+b) × 3

= 12 + 3b

Hence,

The area of rectangle is 12+3b.

What is the area of this rectangle? (area=length*width)

What is the area of this figure?
13 in
6 in
8 in
s in
5 in
17 in
10 in
Write your answers using decimals, If necessary.

What is the area of this figure?13 in6 in8 ins in5 in17 in10 inWrite your answers using decimals, If

Answers

Answer:

If i am correct the area should 337inches..........

Step-by-step explanation:

my reason is becuase if you multiply these numbers

13* 6 = 78       and   8 * 8 = 64     and   10 * 17 + 170   and  last 5 * 5 = 25

they you add    170+ 78 + 64 + 25 =  337inches          so means the answer is 337 Your Welcome :D

Find the compound amount for the deposit. Round to the nearest cent. \( \$ 500 \) at \( 6 \% \) compounded quarterly for 3 years

Answers

The compound amount for a deposit of $500 at an interest rate of 6% compounded quarterly for 3 years is approximately $595.01.

To calculate the compound amount, we can use the formula:

\(A = P(1 + r/n)^{nt}\)

Where:

A = Compound amount

P = Principal amount (initial deposit)

r = Annual interest rate (in decimal form)

n = Number of compounding periods per year

t = Number of years

In this case, the principal amount (P) is $500, the annual interest rate (r) is 6% (or 0.06 in decimal form), the compounding periods per year (n) is 4 (quarterly), and the number of years (t) is 3.

Substituting these values into the formula:

\(A = 500(1 + 0.06/4)^{4*3}\\\\A = 500(1 + 0.015)^{12}\\A = 500(1.015)^{12}\\A = 500(1.195618355)\)

A =  $ 595.01

Therefore, the compound amount for a deposit of $500 at an interest rate of 6% compounded quarterly for 3 years is approximately $595.01, rounded to the nearest cent.

To learn more about Annual interest rate visit:

brainly.com/question/22336059

#SPJ11

3/5 plus 1/4 in simplest form please

Answers

Answer:

17/20

Step-by-step explanation:

3/5 + 1/4

The common factor is 20, so we have

12/20 + 5/20 = 17/20

We can't simplify 17/20 any further, so the answer is 17/20

It would be 17/20 since you can’t simplify further:(

Paul gets $5 every week for doing his chores. He is saving his money to buy a skateboard that costs $85. He has already saved $25.
Which equation describes the number of weeks (w) that it will take Paul to save enough money to buy the skateboard?

Answers

Let x be the number of weeks it will take Paul to save enough money to buy the skateboard.

In one week, Paul earns $5, so in x weeks he will earn 5x dollars.

Since he already has $25 saved, the total amount of money he will have after x weeks is:

5x + 25

To be able to buy the skateboard that costs $85, Paul needs to save up an additional:

85 - 25 = 60

Therefore, we can set up the following equation to find the number of weeks it will take Paul to save up enough money:

5x + 25 = 60

Simplifying and solving for x:

5x = 35

x = 7

Therefore, it will take Paul 7 weeks to save up enough money to buy the skateboard.

The equation that describes the number of weeks (w) that it will take Paul to save enough money to buy the skateboard is:

5w + 25 = 85

Evaluate the expression if b=3 and c=1/3.


3c / (2b²)​

Answers

After evaluation we get the above expression 1/18

What is mathematical expression?

It is the mathematical statement that expresses the method of a mathematical operation in a symbolic way. An expression is developed based on two or more terms along with operator. The terms are variables and numbers. In a word, an expression is either combination of numbers, operators or numbers, variables, operators.

How to evaluate the above expression?

we are given an expression

3c/ (2b²)

the value of b and c are also given, b= 3 and c = 1/3

The expression is written in fractional form that has 2 numbers and 2 variables. The number are 2 and 3, variables are c and b

The numerator 3c and the denominator 2b²

if we put the value of b and c

(3×1/3) / (2×9) =1/18

hence the result 1/18

To know more about mathematical expression visit:

https://brainly.com/question/29176690

#SPJ1

scores at a truck pull were based on the distance the truck stopped from the finish line. order these scores from least to greatest: -5 3/4 , -7.2 , 9 , and 3 1/8

Answers

The scores, in order from least to greatest, are:

-7.2, -5 3/4, 3 1/8, 9. Therefore, the final order is: -7.2, -5 3/4, 3 1/8, 9

What is the Decimal form?

A decimal form is a way of expressing numbers in the base-10 number system, which is the number system we use in everyday life. In decimal form, a number is represented by a combination of digits, where the rightmost digit represents units (ones), the next digit represents tens, the next represents hundreds, and so on. Each digit is multiplied by a power of 10, determined by its position in the number.

-7.2 , -5 3/4 , 3 1/8, 9

The numbers are already in decimal form, so we can compare them directly.

-7.2 is less than -5.75

-5.75 is less than 3.125

3.125 is less than 9

To learn more about Decimal form visit:

brainly.com/question/703656

#SPJ1

Complete the system of equations with a linear equation so that the graphs of the equations intersect at their x- and y-intercepts.
y=x^3+4x+3x+12
y=?

Answers

The required system of equation is given as y = 3x + 12 and y=x³+4x²+3x+12.

What is the equation?

The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

Given equation,
y=x³+4x²+3x+12

To determine the x-intercept put equation y = 0

0 = x³+4x²+3x+12

Factorize the above equation

0=(x²+3)(x+4)

One of the factors from above is given as

x+4=0  

x = -4

The x-intercept is (-4,0)

For the y-intercepts, x=0 and solve.

y = 12

y = 12

The y-intercept is (0,12)

Now equation of the line passing these points is given as.

m = (y₂ - y₁) /  (x₂ - x₁)
m = 12/3
m = 3

C, we already have C=12

So the equation of the line is
y = mx + c
y=3x+12

Thus, the required system of equation is given as y = 3x + 12 and y=x³+4x²+3x+12.

Learn more about equations here:

brainly.com/question/10413253

#SPJ1

You earn $48 for washing 6 cars. How much do you earn for washing 2 cars?

Answers

Answer:

the function y=mx+b all you have to do is fill in what you need. The equation would be y=$12x+$48 the x is how many additional cars there are. The y would be the answer.

Step-by-step explanation:

Answer: $18

Step-by-step explanation:

If angle S and angle T are complementary, and angle T and angle U are supplementary, then angle U is a(n) _________ angle

Answers

Answer:

Obtuse angle

Step-by-step explanation:

S and T are complementary. So, S and T are less than 90°.

T and U are supplementary. So, sum of T and U is 180°.

Since, T is less than 90°, U must be greater than 90°. Hence angle U is an obtuse angle.

Which of the following statements are always true about matrices?

Two matrices are equal if they are both square matrices.

Two matrices with different sizes cannot be equal.

A 2 x 3 matrix has 2 rows and 3 columns.

Two matrices are equal if their corresponding elements are equal.

Answers

Answer:

B, C, D

Step-by-step explanation:

edge 2023

Instructions: Interpret the function given in the context ofthe real-world situation described to answer the question.Nichole bought a new car. The depreciation equation isgiven by f(x) = 27,000(.86), where a representsthe number of years since the purchase of the car, andf(x) represents the value of the car. By what percentdoes Nichole's car depreciate each year?%

Instructions: Interpret the function given in the context ofthe real-world situation described to answer

Answers

The depreciation equation is given by

\(f(x)=27000(0.86^x)\)

where x represents the number of years. Here, the initial value of the car corresponds to x=0, then we have

\(\text{ initial value = f\lparen0\rparen=27000}\)

After one year, the car value corresponds to x=1, that is,

\(\text{ after 1 year = f\lparen1\rparen=27000\lparen0.86}\rparen^1\text{=27000}\times0.86=\text{23220}\)

Now, let's find the depreciation percentage by means of a rule of three:

\(\begin{gathered} 2700\text{ ----- 100 \%} \\ 23220\text{ ------- x} \end{gathered}\)

so we have

\(x=\frac{23220\times100}{27000}=86\text{ \%}\)

So the difference between 100% and 86% is 14% This means Nichole's car depreciate 14% each year

Is this statement true or false?
Your credit history is important when you are trying to find a place to rent.

A) true
B) false

Answers

Answer:

True

Step-by-step explanation:

Renters probably aren't going to rent to you if you have a poor credit history.

hope this helps, brainliest appreciated!

The correct answer is (A) True.

Why Not false ?

Your credit history is really very important when you are trying to find a place to rent because you need to pay the deposit also along with the rents in advance if your credit history is  excellent then the rental will definitely give his place to you on rent

Hence the credit history is really very important for finding a place on rent.

Learn more about credit history below

https://brainly.com/question/1757918

#SPJ2

(20 points) i need help with this asap (the x is -20)

(20 points) i need help with this asap (the x is -20)

Answers

Answer:

119º and 61º

Step-by-step explanation:

2x-15 and 3x+5 are supplementary because the angles corresponding to 2x-15 is supplementary with 3x+5

2x-15+3x+5=180

5x-10=180

5x=190

x=38

fill in x

2(38)-15

=76-15

=61

angle is 61

fill in x for angle 2

3(38)+5

=114+5

=119

angle 2 is 119

Leo is going to use a random number generator 400400400 times. Each time he uses it, he will get a 1, 2, 3,4,1,2,3,4,1, comma, 2, comma, 3, comma, 4, comma or 555.What is the best prediction for the number of times that Leo will get an odd number

Answers

The best prediction for the number of times that Leo will get an odd number is 200.

The probability of getting an odd number (1 or 3) is 2/4 = 1/2.

Using the expected value formula, we can predict the number of times that Leo will get an odd number:

Expected number of odd numbers = (probability of getting an odd number) x (total number of trials)

Expected number of odd numbers = (1/2) x (400) = 200

Therefore, the best prediction for the number of times that Leo will get an odd number is 200.

Learn more about probability

https://brainly.com/question/30034780

#SPJ4

Solve the inequality algebraically. (x−5)²(x+6) < 0
List the intervals and sign in each interval.

Answers

The inequality (x−5)²(x+6) < 0 holds true for -6 < x < 5. In this interval, the expression is negative.


To solve the inequality algebraically, we need to find the intervals where the expression (x−5)²(x+6) is less than zero.
First, let’s analyze the factors:
1. (x−5)² will be positive or zero for all real values of x except x = 5, where it is zero.
2. (x+6) will be positive or zero for all real values of x except x = -6, where it is zero.
Next, we examine the intervals created by the critical points:
Interval 1: x < -6
In this interval, both factors are negative. The product of two negatives is positive, so the expression is greater than zero.
Interval 2: -6 < x < 5
In this interval, (x−5)² is positive, but (x+6) is negative. The product of a positive and a negative is negative, so the expression is less than zero.
Interval 3: x > 5
In this interval, both factors are positive. The product of two positives is positive, so the expression is greater than zero.

Learn more about Inequality here: brainly.com/question/20383699
#SPJ11

Hi, please help me with this question. I would like an explanation of how its done, the formula that is used, etc.
How many integers are there in the sequence 17, 23, 29, 35, ..., 221?

Answers

There are 34 integers in the given sequence. The formula for the nth term of an arithmetic sequence is: a_n = a_1 + (n - 1) d. We can use the formula for the number of terms of an arithmetic sequence: n = (a_n - a_1 + d)/d

The formula for the nth term of an arithmetic sequence is: a_n = a_1 + (n - 1) d. Where: a_1 = first term n = number of terms d = common difference a_n = nth term. The formula for the number of terms of an arithmetic sequence is: n = (a_n - a_1 + d)/d. We can use these two formulas to solve the given problem.

The given sequence is in arithmetic progression with common difference d = 6:17, 23, 29, 35, ..., 221Using the formula for the nth term of an arithmetic sequence: a n = a 1 + (n - 1)d Where: a 1 = first term n = number of terms d = common difference a n = 221We need to find n.

Here's the formula for the number of terms of an arithmetic sequence: n = (a n - a 1 + d)/d. Putting the values: n = (221 - 17 + 6)/6n = 204/6n = 34Thus, there are 34 integers in the given sequence.

To know more about integers visit.

https://brainly.com/question/10492733

#SPJ11

4. Nicky has a part-time job at the market. She recorded the number of hours she worked each week for the last month and how much she was paid after taxes to the table given below. If the paycheck amount varies directly with the hours worked, how much is Nicky paid per hour, after taxes? * Hours Worked Paycheck amount ($) 130.76 149.44 65.38 102.74 16 11

Answers

we use cross-multiplication

take a pair and try to find the pay per hour

\(\begin{gathered} 14h\longrightarrow130.76 \\ 1h\longrightarrow x \end{gathered}\)\(\begin{gathered} x=\frac{1h\times130.76}{14h} \\ x=9.34 \end{gathered}\)

to check we can take other pair

\(\begin{gathered} 7h\longrightarrow65.38 \\ 1h\longrightarrow x \end{gathered}\)\(\begin{gathered} x=\frac{1h\times65.38}{7h} \\ x=9.34 \end{gathered}\)

the paid per hour is $9.34

help is it a b c or d

help is it a b c or d

Answers

Answer:

The last one)

6 21/64 in.3

Step-by-step explanation:

Simply multiply LxWxH, (length x width x height.)

LxWxH= 3 1/2in x 1 7/8 in x 2 3/4 in= 6 21/64 in.3.

what is this pleasee i give brainliest

what is this pleasee i give brainliest

Answers

The Slope of the line is -3/2

How to find Slope of the Line ?

By Substituting x=26

=1/9/8*26+8/3

=-3/2

The slope formula is as follows if P(x1,y1) and Q(x2,y2) are the two points on a straight line:Slope, m = Y-coordinate change / X-coordinate changem = (y2 – y1)/(x2 – x1) (x2 – x1)As a result, using the formula above, we can quickly determine the slope of a line connecting two locations.The rise of the line from one point to another (along the y-axis) over the run is another way to describe the slope of a line between two points (along x-axis). A line's slope provides information on the steepness and direction of the line. By calculating the difference between the coordinates of the two points, (x1,y1) and (x2,y2), it is simple to calculate the slope of a straight line between them.

To learn more about Slope of the Line refer  to:

https://brainly.com/question/27212023

#SPJ1

What is the probability that a standard normal random variable will be between .3 and 3.2?

Answers

There is a 0.3814 percent chance that a standard normal random variable will fall between 0.3 and 3.2.

In the posed query,

We must determine the likelihood that a standard normal random variable will occur with a probability between 0.3 and 3.2.

First, a standard normal random variable with a mean and standard deviation is introduced.

We must determine the likelihood that a standard normal random variable will fall within the range of 0.3 and 3.2.

The likelihood therefore should be

P(0.3<z<3.2)=P(z<3.2)−P(z<0.3)

Using z's typical value

P(0.3<z<3.2)=0.9993−0.6179

Simplifying

P(0.3<z<3.2)=0.3814

According to the z table, there is a 0.3814 percent chance that a standard normal random variable will fall between 0.3 and 3.2.

Option A is the proper response, so.

The complete question is:-

What is the probability that a standard normal random variable will be between .3 and 3.2?

A. .3814

B. .3808

C. .9993

D. .6179

To learn more about probability, refer:-

https://brainly.com/question/30034780

#SPJ4

2x-y=168y=4(4x-32) what is the solutions for the system of equations

Answers

According to the question the solutions for the system of equations \(2x - y = 168\)  and \(y = 4(4x - 32)\) are \(x = 34\) and \(y = 68\).

To find the solutions, we can substitute the value of y from the second equation into the first equation and solve for x. Let's start by substituting y in the first equation:

2x - (4(4x - 32)) = 168

Simplifying the equation:

2x - (16x - 128) = 168

2x - 16x + 128 = 168

-14x + 128 = 168

-14x = 168 - 128

-14x = 40

x = 40/-14

x = -20/7

Now that we have found the value of x, we can substitute it back into the second equation to solve for y:

y = 4(4(-20/7) - 32)

y = 4(-80/7 - 224/7)

y = 4(-304/7)

y = -1216/7

Therefore, the solutions for the system of equations are x = 34 and y = 68.

Learn more about equations here:

https://brainly.com/question/29538993

#SPJ11

For what value of n is |n− 1| + 1 equal to 0 ?

Answers

Answer:

|n - 1| + 1 = 0

|n - 1| = -1

no solution

can somebody please help, i'll mark you as brainiest and no links:)​

can somebody please help, i'll mark you as brainiest and no links:)

Answers

Answer:

\(28\)

Step-by-step explanation:

The formula for the area of the shape is given is equal to its base multiplied by its height. We're given a base of 7 and height of 4, hence the area is \(7\cdot 4=\boxed{28}\)

It’s the fourth option
28!
Hope this helps

Which of the x-values satisfy the following inequality? 7x<21

Answers

Answer:

x < 3

Any x less than 3

Step-by-step explanation:

7x < 21

Divide both sidesby 7

x < 3

Any x less than 3

Answer:

Answers (A) and (B)

Step-by-step explanation:

cant explain currently tell me if you would like me to explain

Other Questions
opportunity cost (in terms of hats) of knitting one more scarf than is in his plan? Enter a number (and only a number, no units) rounded to two decimal places. If your answer is 1.275, enter 1.28. an observer in earth's northern hemisphere is looking directly towards polaris. in what direction is this observer facing? The first stage of heat-related illness that occurs because of depletion of blood volume is called. A third party may sue any one or more partners without suing all of them or the partnership. this is called? 4(2x+3)+4(3x+2) simplify and expand answer How to introduce yourself in Korean and Arabic? It should be not too formal and not too informal. What conflict replaced the Cold War a machine administers medication dosage based on weight. write an if-elseif-else statement that assigns the appropriate dosageamount given userweight. In 2002, Colorado was suffering from extreme drought. Which technology will help Colorado reduce the effects of future droughts?A. building sea wallsB. building leveesC. building damsD. building storm shelters Sarah is having a hard time finding a template for her advertising business that she may be able to use at a laterdate and also make it available to her colleagues.What is her best option? b). Prove that if S-AS = B for some invertible matrix S and v is an eigenvector of A corresponding to 1, then s-lv is an eigenvector of B corresponding to c). Let {vi, va be a linearly independent set of vectors in a vector space V. Prove that if v3 E/ span {v1.v2}, then {v1,v2,v3} is a linearly independent set.d)True or False: if A is a 13 x 4 matrixwill nullity (A) = 0, then colsape (A)= R4 A. How do tropical rainforest ecosystems differ from other forest ecosystems?They have less biodiversity and less light that reaches the forest floor than other forest ecosystems.B. They receive more rainfall and have warmer average temperatures than other forest ecosystems.C. They have warmer average summers and milder average winters than other forest ecosystems.D. They have more limited areas along coastal areas than other forest ecosystems. at year-end, avis company estimates that $2,000 of its accounts receivable balance is uncollectible. avis uses the allowance method to account for bad debts. the entry to record this adjusting entry would include a credit to: multiple choice question. allowance for doubtful accounts uncollectible accounts expense bad debts expense accounts receivable A state law creates a duty of care upon person (natural or legal). A person violates the state law and damages another person. The state has criminal liability. What special negligence doctorine is this? Plz i need an accurate answer help me plz Can someone please help me The count in a bateria culture was initially 300, and after 35 minutes the population had increased to 1600. Find the doubling period. Find the population after 70 minutes. When will the population reach 10000? Please helpp and if you could, could you explain in detail how you got the answer? (You dont have to if you dont want to) Which of the following behaviors should be avoided? Check all of the boxes that apply.keeping someone from using the Internetsending e-mail to your teachersharing private information by posting it publicly on the Internetusing a computer at school to play games when someone else needs it for schoolwork Which of the following local anesthetics, without vasoconstrictors, is/are useful in dentistry?a. Prilocaineb. Mepivacainec. All options listedd. None of the options listed