If the diameter of the base of the cone is 4.0 inches and the slant height is 6.0 inches, what is the volume of the ice cream and the area of the waffle that made the cone?

Answers

Answer 1

Answer:

volume = 23.86in³surface area = 16π in²

Step-by-step explanation:

Given the diameter of the base of the cone = 4.0inches

radius of the cone = 4.0/2 = 2.0inches

slant height l = 6.0inches

Volume of the ice cream that made the cone = 1/3\(\pi r^{2}h\)

to get the height of the cone we will use the Pythagoras theorem.

According to the theorem, \(hyp^{2}=Adj^{2}+opp^{2}\)

given hyp = slant height = 6in

adjacent = base radius = 2in

height = opposite

opp = \(\sqrt{6^{2} - 2^{2} }\)

opp = \(\sqrt{32}\)

opp = height = 5.7in

Volume = 1/3 * 3.14 * 2² * 5.7

volume = 23.86in³

For the surface area;

Surface area of a cone = πr(r+l)

surface area = 2π(2+6)

surface area = 16π in²


Related Questions

whats an irrational number

Answers

numbers that cannot be expressed as the ratio of 2 integers

pls help me out on ths ​

pls help me out on ths

Answers

Answer:

regular price

Step-by-step explanation:

regular price

Answer:

P represents the usual price of a sandwich

The constant (1.5) represents the discount

Step-by-step explanation:

(2w2+4w)÷(w–2) divide

Answers

THIS IS THE ANSWER ::

the answer is 4

caitlyn has found that the total fertility rate for montana is 1.73. what other piece of information would caitlyn need to predict how many babies will be born this year in montana?

Answers

Caitlyn would need to know the population size of Montana in order to predict how many babies will be born this year in the state.

In order to predict how many babies will be born this year in Montana, Caitlyn needs to have access to the population size of Montana. The total fertility rate for Montana is 1.73, which is the average number of children a woman can expect to have throughout her lifetime. Knowing the population size of Montana will allow Caitlyn to have a better understanding of how many babies are likely to be born this year, as this number is directly correlated to the total fertility rate. By having access to both the population size and the total fertility rate, Caitlyn will be able to make a more informed prediction about the number of babies that will be born this year in Montana.

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ILL BRAINLIEST YOU IF YOU GET IT RIGHT

ILL BRAINLIEST YOU IF YOU GET IT RIGHT

Answers

Answer:

b hope it helps make brainlliest ty

Answer:

X is 30. Y is 150.

Step-by-step explanation:

Hope this helps

Select the correct numeral form of this number written in scientific notation. 4. 1 × 10^2 4,100 0. 41 410 41,000

Answers

Step-by-step explanation:

4.1  X 10^2    is    4.1  X 100   =   410

The tensile strength of a metal part is normally distributed with mean 40 pounds and
standard deviation 3 pounds. a. What is the probability of failing to meet the specification limit of 37-pounds tensile
strength? b. If 75,000 parts are produced, how many would parts would not meet the
specification?
Using the standard normal distribution.

Answers

Approximately 11,903 parts would not meet the specification.

a) The tensile strength of a metal part is normally distributed with a mean of 40 pounds and a standard deviation of 3 pounds.

The probability of failing to meet the specification limit of 37-pounds tensile strength can be calculated as follows:

We need to find the probability of X < 37, which is the same as finding the probability of (X - μ)/σ < (37 - 40)/3, or P(Z < -1), where Z is the standard normal random variable.

Using a standard normal table, we can find that P(Z < -1) = 0.1587, approximately.

Therefore, the probability of failing to meet the specification limit of 37 pounds of tensile strength is approximately 0.1587.  

b) We have that 75,000 parts are produced, and we know that the probability of failing to meet the specification limit of 37 pounds tensile strength is approximately 0.1587.

Therefore, the expected number of parts that would not meet the specification is:

Expected number of parts = Probability of failure x Total number of parts

= 0.1587 x 75,000

= 11,902.5

≈ 11,903 (rounded to the nearest whole number)

Therefore, approximately 11,903 parts would not meet the specification.

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how would i Factor the expression completely.
7x - 4x²

Answers

Answer:

\(x(7-4x)\)

Step-by-step explanation:

You can factor the expression \(7x - 4x^2\) by factoring out an x value.

You will get:

\(x(7-4x)\).

There is nothing else you can factor out of the equation.

The graph of function g(x) is a vertical stretch of the graph of function f(x)=x ​​by a factor of 2.

Which equation describes function g(x)?


​​g(x)=f(x)−2

​​g(x)=f(x)+2

g(x)=2f(x)

​g(x)=1/2f(x)

Answers

Answer:
g(x) = 2f(x)


What the other options mean:

g(x) = f(x) – 2
Translation down 2 units

g(x) = f(x) + 2
Translation up 2 units

g(x) = 1/2 f(x)
Vertical compression by a factor of 1/2

Answer:

g(x) = 2f(x)

Step-by-step explanation:

types of vertical mirrors​

Answers

Answer:

Rectangle.

Round.

Arched.

Novelty.

Square.

Oval.

Octagon.

Sunburst.

Hope this is what you're looking for :)

Brainliest please

What technologies are necessary to implement and or support the use of blockchain technology?

Answers

Combining three popular technologies, blockchain: keys for cryptography. a network of peers that uses a shared ledger. a method of computation for storing exchanges and records.

Blockchain technology sets itself apart from conventional networks by offering transparency and integrity.

Integrity: When a user retrieves data from a network, he or she may be sure that the data is accurate and unaffected.

Transparency: Every user on the network may confirm any modifications made to the blockchain technology.

The read, write, create, and update operations to databases are provided by the traditional network, however the blockchain technology only enables users to attach the structure and already stored data cannot be changed.

When a new transaction is created, the blockchain makes sure to record it and perform transaction validation.

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Please halp
Tysm for it ^-^

Please halpTysm for it ^-^

Answers

The standard form of the Polynomial is \(x^4\) ( x³ -13x² + 145x /4 - 5/4) = 0.

What is Polynomial?

A polynomial is a mathematical equation that solely uses the operations addition, subtraction, multiplication, and non-negative integer exponentiation of variables. Variables are sometimes known as indeterminates in mathematics.

given:

The zeroes are 5/2 (multiplicity 2), 3 (multiplicity 1) and 0 (multiplicity 4.)

So, the standard form is

(x- 5/2)² (x-3) \(x^4\) = 0

(x² + 25/4 - 10x) (x-3) \(x^4\) = 0

(x³ + 25x /4 - 10x² - 3x² -5/4 + 30x) \(x^4\) = 0

\(x^4\) ( x³ -13x² + 145x /4 - 5/4) = 0

Thus, the Standard form

\(x^4\) ( x³ -13x² + 145x /4 - 5/4) = 0

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Which of the following numbers is rational? Select all that apply.

1. 7.6

2. 22/7

3. π

4. 1.01 (The one behind the decimal has an over line)

Answers

Answer:

answer no.2

Step-by-step explanation:

as we know rational number are those can be expressed as a ratio between 2 integers

A radio host plans to play one song from each of the three CDs he has by a single artist. The first
song will come from a CD that has 12 songs. The second song will be selected from a CD that
includes 14 songs while the third CD has 13 songs.
Using the Fundamental Counting Principal find the number of possible ways to play the
music.
13 poi

Answers

Answer:

2184 ways

Step-by-step explanation:

We need to choose exactly one song from each CD, so the number of possible ways to choose a song from a CD is the number of songs in that CD.

The first song is from a CD with 12 songs, so there are 12 possibilities of choosing a song.

The second song is from a CD with 14 songs, so there are 14 possibilities of choosing a song.

The third song is from a CD with 13 songs, so there are 13 possibilities of choosing a song.

Now, to find the number of possible ways to play these songs, we just need to multiply the number of possibilities for each song:

Number of possible ways = 12 * 14 * 13 = 2184 ways

Given g(x)=-2x-4find g(6)

Answers

Answer:

g(6)=-16

Step-by-step explanation:

g(6)=-2(6)-4

g(6)=-12-4

g(6)=-16

Hope this helps lol

rom a set of 52 poker cards (without 2 jokers), we keep taking cards randomly one by one with replacement, until all the cards taken by us can cover all 4 shades. (1) compute the probability that we have picked exactly n cards.

Answers

The probability that we have picked exactly n cards by multiplying the probability of picking each card, which is \($\frac{13}{52}\)

Verified that, after taking summation over n = 1, 2, . . ., the sum of the probabilities above equals to 1.

(1) The probability of picking exactly n cards to cover all 4 shades can be calculated as follows:

For n = 1, the probability of picking exactly 1 card is 0, as it is not possible to pick only one card and cover all 4 shades.

For n = 2, the probability of picking exactly 2 cards is:

\($=(\frac{13}{52})\times (\frac{12}{52} )\\\\= \frac{13\times12}{52\times 52}\)

For n = 3, the probability of picking exactly 3 cards is:

\($=(\frac{13}{52})\times (\frac{12}{52} )\times(\frac{11}{52}) \\\\= \frac{13\times12\times11}{52\times 52\times52}\)

And so on, we can calculate the probability of picking exactly n cards by multiplying the probability of picking each card, which is \($\frac{13}{52}\).

(2) To verify that the sum of the probabilities is equal to 1 , we can add up the probabilities for all values of n from 1 to 52 :

\($& \mathrm{P}=\left(\frac{13}{52}\right) \times\left(\frac{12}{52}\right)+\left(\frac{13}{52}\right) \times\left(\frac{12}{52}\right) \times\left(\frac{11}{52}\right)+\ldots+\left(\frac{13}{52}\right) \times\left(\frac{12}{52}\right) \times \ldots \times \frac{52-(\mathrm{n}-1)}{52} \\\)

P = 1

This verifies that the sum of the probabilities is equal to 1.

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From a set of 52 poker cards (without 2 jokers), we keep taking cards randomly one by one with replacement, until all the cards taken by us can cover all 4 shades.

(1) Compute the probability that we have picked exactly n cards.

(2) Verify that, after taking summation over n = 1, 2, . . ., the sum of the probabilities above equals to 1.

given a normal random variable x with mean 36 and variance 16, and a random sample of size n taken from the distribution, what sample size n is necessary in order that p(35.9≤x≤36.1)=0.95?

Answers

Thus, a sample size of 615 is necessary in order to have a 95% confidence interval for the population mean that is within +/- 0.1 of the sample mean, given a normal random variable x with mean 36 and variance 16.

Use the formula for the standard error of the mean:

SE = σ / sqrt(n)

where σ is the standard deviation of the population, which is the square root of the variance (in this case, σ = sqrt(16) = 4), and n is the sample size.

We want to find the sample size n that will give us a 95% confidence interval for the population mean that is within +/- 0.1 of the sample mean. This means we need to find the z-score for a 95% confidence interval, which is 1.96 (from a standard normal distribution table).

So we have:
0.1 = 1.96 * SE
0.1 = 1.96 * (4 / sqrt(n))
0.1 = 7.84 / sqrt(n)
sqrt(n) = 78.4
n = 614.2

Rounding up to the nearest integer, we get a sample size of n = 615.

Therefore, a sample size of 615 is necessary in order to have a 95% confidence interval for the population mean that is within +/- 0.1 of the sample mean, given a normal random variable x with mean 36 and variance 16.

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De divided by f if d= -24 e= -4 f= 8

Answers

The answer is 12 in this problem

We have 6 books on mathematics, 3 on physics, and 1 on chemistry, and you must choose 1 book. in how many ways can you do that? (also think why the an

Answers

The number of ways that a book can be chosen from all the books can be determined by using combination.

Combination is a method of choosing items from a set in a way that order of selection does not matter. It refers to the combination of n items taken k at a time without repetition. From example, selection of food, menu, subjects, etc.

A combination is the selection of r items from a set of n items without replacement and where order is unimportant.

nCr=n!/r!(n-r)!

Where n! = 1*2*3*….*n

In the given situation, r = 1(number of books to be chosen) and n=10(total number of books)

10C1=10!/1!(10-1)!

10C1=10!/1!(9)!

10C1=(10*9!)/1!(9)!

10C1=10

The number of ways to choose a book from the ten books is 10.

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A group of four friends went out for dinner. Their bill came to $50.95. They also need to pay 8% sales tax, and want to tip their server 18% on the cost of the meal (including tax). How much will EACH friend have to pay? Round your answer to the nearest cent.

Answers

Answer:

Enter cost and tip percent to get a tip amount and total dinner amount. Also split the total amount; divide among any number of people. ... Money, Pay, Taxes. > Tip ... Enter your meal or dinner cost along with the tip percentage. ... To calculate a gratuity or tip on any calculator it is a simple multiplication. ... All rights reserved

Step-by-step explanation:

After eating at your favorite restaurant, you know that the bill before tax is $52.60 and that the sales tax rate is 8%. You decide to leave a 20% tip for the waiter based on the pre-tax amount. How much ... To figure out the tip, you need to find 20% of $52.60. 0.2 \times 52.6

The amount that each person should pay is  $22.06   .

What is percent?

Percentages can be stated as essentially fractions where the denominator is 100. To show that a number is a percent, we use the percent symbol (%) beside the number. We can take as example, if you got 75 questions right out of 100 on a test (75/100), you would have scored 75%.

here, we have,

in the question ,

it is given that

total number of persons = 3 person + 1 = 4 persons

cost of the meal = $72.50

sales tax percent = 6.75%

tip percent = 15%

So , the amount of sales tax = 6.75% of cost = 0.0675 * 72.50 = $4.89

and , the amount of tip is = 15% of cost

= 0.15 * 72.50

= 10.87

So , the total amount payable is = cost + sales tax + tip

= 72.50 + 4.89 + 10.87

= 88.26

since the total number of persons is 4 ,

the amount per person is = 88.26/4 = 22.06

Therefore , The amount that each person should pay is  $22.06   .

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Where are my smart friends?? i had r13.00. my mum gave r10.00. my dad gave r30.00. my aunty, my uncle and grandma gave me r100.00. i had another r7.00. how much did i have?

Answers

The total amount of money he had is $160.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value.

Given :

I had $13.00.

My Mom gave me $10.00.

My Dad gave me $30.00.

My Aunt, My Uncle, and grandma gave me $100.00.

I had another $7.00.

The initial amount of money he had

= $13 + $7

= $20

His Mom gave him $10.00.

So, the total amount of money now he had is:

= $20 + $10

= $30

His Dad gave him $30.00.

So, the total amount of money now he had

= $30 + $30

= $60

So, the total amount of money now he had

= $60 + $100

= $160

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Use the box plots below to make comparisons

Number line labeled Number of insects identified with two box plots above it. Box plot labeled First trip has points at 2, 16, 17, 20, and 22. A box extends from 16 to 20 with a vertical line through 17. Lines extend from 16 to 2 and from 20 to 22. Box plot labeled Second trip has points at 15, 18, 19, 20, and 22. A box extends from 18 to 20 with a vertical line through 19. Lines extend from 18 to 15 and from 20 to 22.

Question 6 options:

The range of the first trip is smaller than the range of the second trip


The median of the second trip is higher than the median of the first trip


The interquartile range (IQR) of the second trip is larger than the IQR of the first trip


The first trip and the second trip have different maximum values

Answers

For the given box plot: The median of the second trip is higher than the median of the first trip.

What are box plots?

Box plots, often called box-and-whisker plots, are graphical representations of data sets that highlight essential characteristics and summarise the distribution of the data. A box plot consists of a rectangle (the box) that spans the middle value of the data from the lower quartile (Q1) to the upper quartile (Q3), and a vertical line (the median) inside the box. Any data points outside of this range are displayed as separate dots (outliers), and whiskers (lines) extend from the box to the lowest and highest data points within 1.5 times the IQR (interquartile range). Box plots make it simple to compare several sets of data, and they can highlight variations in central tendency, variability, and skewness.

From the description of the box plots we observe that:

The first trip's range is greater than the second trip's range because the first trip's whiskers are longer than the second trip's whiskers.

Due to the second trip's box being relocated to the right of the first trip's box, the median of the second trip is greater than the median of the first.

Because the box for the first trip is wider than the box for the second trip, the interquartile range (IQR) of the second trip is less than the IQR of the first trip.

Since both trips have a data point at 22, they both have the same highest value.

Hence, The median of the second trip is higher than the median of the first trip.

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a market research firm conducts telephone surveys with a historical response rate. what is the probability that in a new sample of telephone numbers, at least individuals will cooperate and respond to the questions? in other words, what is the probability that the sample proportion will be at least ? calculate the probability to decimals

Answers

The probability that the sample proportion will be at least 0.375 = 0.8461

Here, te market research firm conducts telephone surveys with a 40% historical response rate.

so, p = 0.4

here, the sample of 400 telephone numbers is n = 400

and \(\hat{p}=0.375\)

The standard deviation would be,

\(\sigma=\sqrt{\frac{p(1-p)}{n} } \\\\\sigma=\sqrt{\frac{0.4(1-0.4)}{400} } \\\\\sigma=0.0245\)

Now we calculate z score :

\(z=\frac{0.375-0.4}{0.0245} \\\\z=-1.0204\)

The probability that the sample proportion will be at least 0.375:

P(\(\hat{p}\) ≥ 0.375)

= P(z > -1.0204)

= 0.8461

Therefore, the required probability is: 0.8461

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The complete question is;

A market research firm conducts telephone surveys with a 40% historical response rate. What is the probability that in a new sample of 400 telephone numbers, at least 150 individuals will cooperate and respond to the questions? In other words, what is the probability that the sample proportion will be at least 150/400 = .375?

Calculate the probability to 4 decimals.

the scale price is 120% . This is 75% of the original price. find the original price​

Answers

Answer:

160%

Step-by-step explanation:

120% = 75%

1.6%=1%

160%=100%

therfore 160% is the original

What is the measure of <C? Round your answer to the nearest tenth of a degree.

A 73.4
B 74.1
C 106.6
D 100.7​

What is the measure of &lt;C? Round your answer to the nearest tenth of a degree. A 73.4 B 74.1 C 106.6

Answers

Given:

In triangle \(ABC, AB=9,BC=4,AC=7\).

To find:

The measure of angle C.

Solution:

We have, \(AB=9,BC=4,AC=7\). It means \(c=9,a=4,b=7\).

According to the law of cosines:

\(cos C=\dfrac{a^2+b^2-c^2}{2ab}\)

\(cos C=\dfrac{4^2+7^2-9^2}{2(4)(7)}\)

\(cos C=\dfrac{16+49-81}{56}\)

\(cos C=\dfrac{-16}{56}\)

Taking cos inverse on both sides, we get

\(C=cos^{-1} \dfrac{-16}{56}\)

\(C=106.60155\)

\(C\approx 106.6\)

Therefore, the correct option is C.

When given the diameter of a sphere how can the volume be calculated? Describe the steps needed to find the volume.

Answers

Answer:

First divide diameter in half to get radius, then use the Sphere Volume formula(V=) to get the volume of the sphere.

Step-by-step explanation:

The diameter of a sphere, in terms of the volume of the sphere, is .

The volume of the sphere

The  volume of the sphere is defined as the total capacity applied on the sphere;

The diameter of a sphere, how can the volume be calculated.

The volume of the sphere is given by;

Where r is the radius of the sphere.

The relation between the radius of the sphere and the diameter of the sphere is given by;

On comparing both equations;

Hence, the diameter of a sphere, in terms of volume of the sphere is .

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When given the diameter of a sphere how can the volume be calculated? Describe the steps needed to find
When given the diameter of a sphere how can the volume be calculated? Describe the steps needed to find

Sample Response: When given the diameter, divide it in half to find the radius measure. Then, substitute the radius measure into the formula. Cube the radius and multiply by 4/3. Write the result followed by pi and the label for the units.Answer:

Step-by-step explanation:

What is the following product?

(x1/7-3/8)(x/7-3/8)

O 7x² + 72

O 7X2-12x14 + 72

O 7x2 - 12/14 - 72

0 7x²-72

-

Answers

The main answer is 7x²-12/14x-72. To arrive at this answer, you need to use FOIL method (First, Outer, Inner, Last) to multiply the two expressions together.

This means multiplying the first terms, then the outer terms, then the inner terms, and finally the last terms. After simplifying the resulting expression, you get the main answer of 7x²-12/14x-72.
The main answer to the product of (x^(1/7)-3/8)(x^(1/7)-3/8) is 7x^(2/7) - 3/4x^(1/7) + 9/64.


To find the product, you should apply the distributive property (also known as FOIL) by multiplying each term in the first parentheses by each term in the second parentheses:

1. First terms: (x^(1/7)) * (x^(1/7)) = x^(2/7) (using the rule of exponents, a^(m) * a^(n) = a^(m+n))
2. Outer terms: (x^(1/7)) * (-3/8) = -3/8x^(1/7)
3. Inner terms: (-3/8) * (x^(1/7)) = -3/8x^(1/7)
4. Last terms: (-3/8) * (-3/8) = 9/64

Now, combine the like terms (outer and inner terms):

7x^(2/7) - 3/4x^(1/7) + 9/64

So, the product of (x^(1/7)-3/8)(x^(1/7)-3/8) is 7x^(2/7) - 3/4x^(1/7) + 9/64.

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wich of the following numbers are greater than -185/100 -1.08190/100-35/20

Answers

-185/100 = -1.85

a) -1.08 this number id greater than -1.85

b) 190/100 = 1.9 this number is greater than -1.85

c) -35/20 = -1.75 this number is greater than -1.85

All these numbers are greater than -185/100

What type of angle pairs are angles a and b?​

What type of angle pairs are angles a and b?

Answers

Supplementary angles. They both add up to equal 180 degrees

Answer:

Supplementary

Step-by-step explanation:

If you add the angles from A and B, they make a straight line, or 180 degrees. This angle relationship is called supplementary.

The average Yorkshire terrier is 6 inches tall. However the
average Dalmatian measures 4 times taller than a Yorkshire
terrier. How tall is the average Dalmatian?

Answers

Answer:

4x6= 24inches tall

.............

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