the inner diameter of the top of am ornamental cup is 7,5cm and the diameter of the inner bottom is 3,0cm.the depth of the cup is 10cm.calculate the capacity of the cup​

Answers

Answer 1

Answer:

Frustum Volume =

[PI * height * (small radius^2 + (small radius * large radius) * + large radius^2)] / 3

Frustum Volume = PI * 10 * ( 1.5^2 + 1.5*3.75 + 3.75^2 ) / 3

Frustum Volume = 31.41592654 * (2.25 +5.625 +14.0625) / 3

Frustum Volume = (31.41592654 * 21.9375) / 3

Frustum Volume = 689.1868884713 / 3

Frustum Volume = 229.72896282 cubic cm

Source: http://www.1728.org/volcone.htm

Step-by-step explanation:

The Inner Diameter Of The Top Of Am Ornamental Cup Is 7,5cm And The Diameter Of The Inner Bottom Is 3,0cm.the

Related Questions

What is the measure of L?
A. 390
B. 25°
C. Cannot be determined
D. 32°

Answers

Answer:

im pretty sure 25°

Step-by-step explanation:

Well the shape of an L is basically 1/4 of a rectangle. 1/4 is equal to 25 because 25 multiplied by 4 is 100. 100 divided by 4 is 25.

i think it is 25 definitely is that

Tory and Emilio's motorboats travel at the same speed Tory pilots her boat 60 km before docking Emilio continues for another 4 hr traveling a total of 120 km before docking How long did it take Tory to navigate the 60 km?
It took Tory hr to navigate the 60 km
(Simplify your answer. Type an integer, a mixed numeral or a fraction)

Answers

Answer:

2 hours

Step-by-step explanation:

Since Tory and Emilio's motorboats travel at the same speed, they are traveling at the speed of 30 km/h. Therefore, it should take Tory two hours to travel 60 km.

Tory took 2 hours to navigate the 60 kilometers.

What is speed?

Velocity is the pace and direction of an item's movement, whereas speed is the time rate at which an object is travelling along a route.

Given:

Tory pilots her boat 60 km before docking.

Emilio continues for another 4 hours traveling, a total of 120 km before docking.

The speed of Emilio's boat = 120 / 4 = 30 kilometers per hour.

Tory and Emilio's motorboats travel at the same speed.

Tory's boat speed,

= 60/30 = 2 hours.

Therefore, Tory takes 2 hours.

To learn more about the speed;

https://brainly.com/question/7359669

#SPJ2

What is the scare root of 85 roused to nearest tenth?

Answers

Answer:

9.2

Step-by-step explanation:

You can do this calculation with a calculator by taking the square root of 85.

Hi there!  

»»————- ★ ————-««

I believe your answer is:  

9.2

»»————- ★ ————-««  

Here’s why:

Assuming that you mean "the square root of 85 rounded to the nearest tenth..."  

⸻⸻⸻⸻

[tex]\boxed{\text{Calculating the Answer...}}\\\\\rightarrow \sqrt{85} = 9.21954445729....[/tex]

⸻⸻⸻⸻

Since the digit to the right of the tenth (the 1) is less than or equal to four, we round down.

⸻⸻⸻⸻

[tex]9.21954445729...\approx\boxed{9.2}[/tex]

⸻⸻⸻⸻  

»»————- ★ ————-««  

Hope this helps you. I apologize if it’s incorrect.

testing for a disease can be made more efficient by combining samples. If the samples from two people are combined and the mixture tests​ negative, then both samples are negative. On the other​ hand, one positive sample will always test​ positive, no matter how many negative samples it is mixed with. Assuming the probability of a single sample testing positive is 0.15​, find the probability of a positive result for two samples combined into one mixture. Is the probability low enough so that further testing of the individual samples is rarely​ necessary?w./search?q=%E2%80%8B"At+least%E2%80%8B+one"+is+equivalent+to%E2%80%8B+_______.&oq=%E2%80%8B"At+least%E2%80%8B+one"+is+equivalent+to%E2%80%8B+_______.&aqs=chrome..69i57j0i22i30l3.409j0j4&sourceid=chrome&ie=UTF-8 The probability of a positive test result is nothing

Answers

Answer:

(a) [tex]P(Two\ Positive) = 0.2775[/tex]

(b) It is not too low

Step-by-step explanation:

Given

[tex]P(Single\ Positive) = 0.15[/tex]

[tex]n = 2[/tex]

Solving (a):

[tex]P(Two\ Positive)[/tex]

First, calculate the probability of single negative

[tex]P(Single\ Negative) =1 - P(Single\ Positive)[/tex] --- complement rule

[tex]P(Single\ Negative) =1 - 0.15[/tex]

[tex]P(Single\ Negative) =0.85[/tex]

The probability that two combined tests are negative is:

[tex]P(Two\ Negative) = P(Single\ Negative) *P(Single\ Negative)[/tex]

[tex]P(Two\ Negative) = 0.85 * 0.85[/tex]

[tex]P(Two\ Negative) = 0.7225[/tex]

Using the complement rule, we have:

[tex]P(Two\ Positive) = 1 - P(Two\ Negative)[/tex]

So, we have:

[tex]P(Two\ Positive) = 1 - 0.7225[/tex]

[tex]P(Two\ Positive) = 0.2775[/tex]

Solving (b): Is (a) low enough?

Generally, when a probability is less than or  equal to 0.05; such probabilities are extremely not likely to occur

By comparison:

[tex]0.2775 > 0.05[/tex]

Hence, it is not too low

Determine which of the following equations are linear equations in x

Answers

I can’t help if you don’t tell us the equations

A swimming pool is circular with a 20-ft diameter. The depth is constant along east-west lines and increases linearly from 1 ft at the south end to 6 ft at the north end. Find the volume of water in the pool. (Round your answer to the nearest whole number.)

Answers

Answer:

1100 ft³

Step-by-step explanation:

Use the formula for the volume of a cylinder. For height, use the average of the minimum and maximum depths.

V = πr²h

r = d/2 = 20 ft/2 = 10 ft

h = (1 ft + 6 ft)/2 = 3.5 ft

V = π(10 ft)²(3.5 ft)

V = 1100 ft³

find the length of side AB

Answers

Answer:

AB = 5.6 cm

Step-by-step explanation:

Reference angle (θ) = 62°

Hypotenuse = 12 cm

Adjacent = AB

Apply the trigonometric ratio formula, CAH, which is:

Cos θ = Adj/Hyp

Plug in the values

Cos 62° = AB/12

12*Cos 62° = AB

5.63365876 = AB

AB = 5.6 cm (1 decimal place)

what is the value of c? enter your answer in the box. round only your final answer to the nearest whole number.

Answers

Answer:

c ≈ 21

Step-by-step explanation:

By applying cosine rule in the given triangle ABC,

c² = a² + b² - 2abcos(C)

c² = (17)² + (10)² - 2(17)(10)cos(98.8°)

c² = 289 + 100 - 340(-0.1530)

c² = 441.015

c = 21

c ≈ 21

A radioactive substance decays exponentially: The mass at time t is m(t) = m(0)e^kt, where m(0) is the initial mass and k is a negative constant. The mean life M of an atom in the substance is
[infinity]
M = âk â« te^kt dt.
0

For the radioactive carbon isotope, 14C, used in radiocarbon dating, the value of k is -0.000121. Find the mean life of a 14C atom.

Answers

Answer:

mean life = 8264.5 s

Step-by-step explanation:

k = - 0.000121

The relation is given by

[tex]m = mo e^{kt}[/tex]

Now, the mean life is the life time for which the sample retains.

The mean life is the reciprocal of the decay constant.  

The relation between the mean life and the decay constant is

[tex]\tau =\frac{1}{k}\\\\\tau = \frac{1}{0.000121} = 8264.5 seconds[/tex]

to have batting average over 0.500. how many hits in 45 times at bat would raul or karen need?

Answers

We need to round this up to make sure it is still above 0.5 so they would need 23 hits at 45 times at bat.

PLEASE I NEED HELP!!!!!



Find the volume of this sphere.
Use 3 for TT.
L-r=3ft
V [?]ft3
V = Tr3

Answers

Answer:

113.1 =VOLUME , 4/3 X 3.14 (3) ^3 = 113.1

$66.25 divided among 4 people

Answers

the actual answer would be $16.5625 but you can just say $16.5

Can someone please help lol

Answers

Answer:

the range the score is 59 is the correct answer

Step-by-step explanation:

Range is the largest no minus the smallest no...so 59 is the largest minus 0 the smaller number

PLEASE HELP THIS IS MY LAST QUESTIONNNN
- The electric company charges Dalton a monthly service fee of $30 plus $0.15 per kilowatt-hour of electricity used. This month, Dalton's bill is $105.

- How many kilowatt-hours of electricity did Dalton use?

Answers

500 kwh

$105 - $30 = $75

$75 / $0.15 = 500

Answer:

$105-$30 service fee, this leaves only the electricity used. $75. now to find how many kilowatt hours used you divide $75/.15=500 answer 500 kilowatt hours.

Step-by-step explanation:

see above

if 11^-x=4, what does 11^2x equal

Answers

Answer:

1/16

Step-by-step explanation:

If 11^-x=4, then 11^x=1/4.

If 11^x=1/4, then 11^2x=(1/4)^2 which equals 1/16.

The graph of f(x)=x^2 is shown. Compare the graph of f(x) with the graph of g(x)=x^2+8

Answers

Answer:

D

Step-by-step explanation:

Number 8 is not related to the x, but is related to the the function. so g(x) is 8 units above f (x)

Answer:

D. 8 units above the graph

Step-by-step explanation:

y = mx + b

this formula is basically y = x^2 + 8

+8 part means where it is on the y axis

if it were y = (x+6)^2 + 8

it would also be on 6 places to the left on the x axis

The number 55 is attached to a two-digit number to its left and the formed 4-digit number is divisible by 24. What could be the 2-digit number? List all options

Answers

the answer will be 44 I think I hoped I helped if not sorry.

find the least common multiple of two two-digit numbers. SHOW WORK

Answers

Answer:

The LCM of 20 and 30 is 60.

Step-by-step explanation:

LCM means the least common multiple.

The LCM of two numbers means the least multiple both numbers share.

Use the listing method:

Multiples of 20:

20, 40, 60, 80, 100, ......

Multiples of 30:

30, 60, 90, 120, 150, ...

The LCM is 60 because that is the least common multiple 20 and 30 have.

Hope this helps

Can any one you help me with this ?

Answers

NUE is 30° LUN is 60° EUS is 30° LUE is 90° LUS is 120°

Step-by-step explanation:

NUE is given

LUN was from the 90° angle LUE but just minus 30°

EUS is honestly a guess :/

LUE is obviously 90° as we used it earlier

LUS was the 90° plus the EUS

I don’t understand these problems

Answers

Both E and F are sets.

E = {w | w ≤ 2}

means that E is the set of all numbers w satisfying the condition that w ≤ 2. In other words, E contains all real numbers less than and including 2.

Similarly,

F = {w | w > 9}

is the set of all real numbers strictly greater than 9.

The intersection of E and F, denoted EF, is the set that contains the overlap of the two sets, or all the numbers that are common to both sets. In this case, EF is the empty set; this is because all numbers small than 2 cannot be larger than 9, so EF = ∅.

The union of E and F, written as EF, is the set containing all elements from both sets. In interval notation, E = (-∞, 2] and F = (9, ∞), so EF = (-∞, 2] ∪ (9, ∞).

you have to find ABC and I'm not sure how to any help is appreciated ​

Answers

Hello,

Since (BD) bissects angle ABC,

18-x=26-3x

2x=8

x=4

18-x=18-4=14

m angle ABC=14°*2=28°

A large bottle of water is leaking. The amount of ounces left in the bottle is shown in the function [tex]O(s) = 72-3s[/tex] is the amount of ounces left, and s is the number of seconds that is the water is leaking out. What is a reasonable domain and range for this function?

Answers

9514 1404 393

Answer:

  D: [0, 24]

  R: [0, 72]

Step-by-step explanation:

The function only makes sense for non-negative values of time or water volume. The intercepts of the function are ...

  y-intercept: 72

  x-intercept: 72/3 = 24

so the reasonable domain is 0 ≤ s ≤ 24,

and the corresponding range is 0 ≤ O(x) ≤ 72.

The productivity of workers at a shoe factory in
pairs of shoes per hour) can be modeled using the
function p(h) = -4h + 5, where h is the number of
hours. If a worker must create at least 3 pairs of
shoes per hour for the company to be profitable,
how long should the worker's shift be?

Answers

Answer:

1/2 hour

Step-by-step explanation:

Given the productivity function measured in pairs of shoes per hour ;

P(h) = - 4h + 5

h = number of hours

Number of hours required to create 3 pairs of shoes :

Put P(h) = 3 in the equation :

3 = - 4h + 5

3 - 5 = - 4h

-2 = - 4h

-2/-4 = - 4h/-4

0.5 = h

1/2 an hour = 30 minutes

Show all the steps to solve the following
942.6 - 19.734

Answers

Answer:

922.868

Step-by-step explanation:

1. Thousandth place of 942.6002. Subtracting

[tex]942.600-19.732=922.868[/tex]

PLEASE HELP!!!

A television is purchased by a company for $210. They mark up the price by 55%. What is the selling price? Show two different ways to solve this problem.​

Answers

Answer:

$325.50

Step-by-step explanation:

1) 210÷100 = 2.1

  2.1×55 = 115.5

  210 + 115.5 = 325.5

2) 210×55 = 11550

   11550÷100 = 115.5

   210 + 115.5 = 325.5

1.055.
Determine whether the statement is true or false. If the statement is false, give a reason.
{5, 6, 7} = {5, 5, 6, 7, 7}

Answers

Given:

The statement is:

{5, 6, 7} = {5, 5, 6, 7, 7}

To find:

Whether the given statement is true or false.

Solution:

Two sets are equal if they have exactly the same elements.

The given set {5, 6, 7} has three elements and the set {5, 5, 6, 7, 7} has five elements but we known that all the elements of a set are distinct. It means, it has no repeated element.

Set {5, 5, 6, 7, 7} has three distinct elements 5, 6, 7. So,

{5, 5, 6, 7, 7} = {5, 6, 7}

Therefore, the given statement is true.

Write an addition or a subtraction equation (your choice!) to describe the diagram. Pls help

Answers

Answer:

Addition equation = -4-0) + [(-13)-(-4)]

Answer =  -13

Step-by-step explanation:

For the small arrow in the diagram, the expression is (-4 - 0)

For the bog arrow, the expression will be -13 - (-4)

Adding both expressions

Addition = (-4-0) + [(-13)-(-4)]

Addition = (-4) + (-13+4)

Addition = -4 + (-9)

Addition = -4-9

Addition = -13

If the actual price in this market were below
the equilibrium price, what would drive the
market toward the equilibrium?

Answers

Step-by-step explanation:

If the price is below the equilibrium level, then the quantity demanded will exceed the quantity supplied. Excess demand or a shortage will exist. If the price is above the equilibrium level, then the quantity supplied will exceed the quantity demanded. Excess supply or a surplus will exist.Whenever markets experience imbalances—creating disequilibrium prices, surpluses, and shortages—market forces drive prices toward equilibrium. A surplus exists when the price is above equilibrium, which encourages sellers to lower their prices to eliminate the surplus.

Find the value of x.

Answers

Answer:

x = 3

Step-by-step explanation:

A midsegment in a trapezoid is formed when one connects the midpoints of the two legs (non-parallel sides) in a trapezoid. The midsegment theorem states that the length of the midsegment is equal to the average of the two bases (that is the parallel sides).

One can apply the midsegment theorem here by stating the following;

[tex]\frac{(YZ)+(TM)}{2}=PW[/tex]

Substitute,

[tex]\frac{23+11x+2}{2}=29[/tex]

Simplify,

[tex]\frac{25+11x}{2}=29[/tex]

Inverse operations,

[tex]\frac{25+11x}{2}=29[/tex]

[tex]25+11x=58\\\\11x = 33\\\\x = 3[/tex]

Which of the following expressions is not equivalent to the others?

Answers

Answer:

Im going to guess the second one

Step-by-step explanation:

It's the only one that does not have more than one negative fraction.

the answer is C all the other ones are 2/27 but the third one which equals -1/9
Other Questions
define meningesplease give me ans How many grams of Br are in 445 g CaBr2 ? What characteristic is related to Hashimoto's thyroiditis? a. Enlarged thyroid gland b. Viral-induced hyperthyroidism c. Bacterial or fungal infection of thyroid gland d. Chronic autoimmune thyroiditis with antibody destruction of thyroid tissue Hey guys so I have a question. How do you determine the appropriate center of measure? I know that you have to find the mean median and mode but once you find the mean median and mode, how do you determine the center of measure? I'm confused. An Olympic swimming pool is 25 meters long. How long is the pool in yards? WILL GIVE BRAINLIEST ASAP Which is a factor of: 2x^2 - 4x 6?I dont understand how u get it in this form of an answer What year does Napoleon die? Evaluate 4(3 - 1)^2.. calculate the human development index of nepal if it mean schooling years is 4.9 and expected schooling years is 12.4 ( obtain necessary figure PCI life expectancy etc from the internat In ancient Egypt, the word ___ was used to describe a series of rulers who shared a common family.A. kingdomB. dynastyC. pharaohD. monarch 18Truck A leaves a loading dock and averages 40 milesper hour until it makes a stop in Dover County. Truck Bleaves the same loading dock two hours after Truck A andaverages 60 miles per hour until it makes a stop in DoverCounty as well. If both trucks arrive in Dover County atthe same time, how many miles is Dover County from theloading dock? The city park is 9 and 2/5 km from Roland Public School. The city library is 3 and 3/10 km from the same school. How much farther from the school is the park than the library? PLS HELP ANTENNA-- CABLE-- FLAT SCREEN-- REMOTE CONTROL---- SATELLITE DISH---- SETCHANNEL-- GAME SHOW-- MINISERIES PROGRAMME --- REALITY SHOW ---SOAP OPERATALK SHOW ----- VARIETY SHOW1. When we watch TV in my house, my older brother always has the _________ in his hand.2. I always watch the news on TV3. It`s my favorite _____________________.3. If you want to see British television in my country, you need to install_________________.4. We have two TV_________________ in the house: a small one in the kitchen and a big one in the living room.5. I know someone who was on a _____________once. He answered all the questions correctly and won a big prize.6.Im watching a____________________about the Russian Revolution right now. The actors are great, and there are only two episodes left. Which of the following sentences has a mistake?1. The teachers' meeting was held in the gym.2. They had to figure out a way to raise three thousand dollars or the football season would be cancelled.3. The schools football team had a long standing tradition.4. They had to find a solution.(A. 4.(B. 1C. 2.D. 3. many people traveled to New mexico after ww1 to seek treatment at sanitarium for...?tuberculosiscancersmallpoxor polio HELP ME Which two changes to the can opener would increase its mechanical efficiency? A shorten the paddle so that they are closer in size to the axle that they turn B grease the rotating wheel of the opener so that there is less breaks in between moving parts C replaced it with a straight handle the act as levers with shorter pieces of metalD sand the cutting surface of the metal piece so that it is perfectly smooth and sharp What is the product of the polynomials below?(3x2 - 2x - 3)(5x2 + 4x + 5) The Eisenhower Doctrine was concerned with what region of the world?Question 15 options:South AmericaWestern EuropeThe Middle EastSoutheast Asia A rectangular photograph measuring 2 inches by 4 inches is enlarged by a scale factor of 8. What are the new dimensions of the photograph? Can ya explain how you got the answer too?