A parabolic tunnel has a width of 20 feet and a height of 12 feet at the center. Find the cross-sectional area of the parabolic tunnel.

Answers

Answer 1

The cross-sectional area of the parabolic tunnel is 31415.93 ft²

What is a parabolic tunnel?

A parabolic tunnel assumes the shape of a hemisphere and the cross-sectional area of a hemisphere can be calculated by using the formula:

Area of a parabolic tunnel = πa²

Since the parabolic tunnel assumes the shape of a hemisphere:

Radius of the hemisphere from the center =  a = 20/2 = 10Height of the hemisphere  r = 12

Area of a parabolic tunnel = πa²

Area of a parabolic tunnel = π(100)²

Area of a parabolic tunnel = 31415.93 ft²

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Related Questions

A company sells kites. It sells basic kites and designer kite's. 2 basic kites and 2 designer kites have a total weight of 400 g. 4 basic kites and 1 designer kite have a total weight of 440 g. Work out the weight of a basic kite and the weight of a designer kite.

Answers

Answer:

basic = 80g

designer = 120g

Explanation:

simultaneous equations:

2B + 2D = 400g
4B + D = 440g -> D = 440 - 4B

to work out B:
2B + 2(440 - 4B) = 440
2B + 880 - 8B = 440  # divide whole thing by 2 to make it simpler
B + 440 - 4B = 220
-3B = -240 # divide both sides by -1
3B = 240
B = 80

to work out D: (substitute B)
4(80) + D = 440g
320 + D = 440g
D = 120

As per the given data, a basic kite weighs 80 g and a designer kite weighs 120 g.

What is marketing?

Marketing is the activity, set of institutions, and processes for creating, communicating, delivering, and exchanging value-added offerings for customers, clients, partners, and society as a whole.

Let's denote the weight of a basic kite as w_b and the weight of a designer kite as w_d.

We can set up a system of equations based on the given information:

2w_b + 2w_d = 400 (equation 1)

4w_b + 1w_d = 440 (equation 2)

We can then solve for w_b and w_d using elimination or substitution.

Using elimination:

Multiply equation 1 by 2: 4w_b + 4w_d = 800Subtract equation 2 from the above: (4w_b + 4w_d) - (4w_b + 1w_d) = 800 - 440Simplify: 3w_d = 360Solve for w_d: w_d = 120Substitute w_d into equation 1 and solve for w_b: w_b = 80

Therefore, a basic kite weighs 80 g and a designer kite weighs 120 g.

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They are extremely tall. Son los más altos. Son altísimos.

Answers

Answer:

Son altisimos is the best translation.

Explanation:

In united states history the term wildcatter would be most associated with which of these images.

Answers

Answer:

should be the oil rig image the only oil rig

Explanation:

Seeing as if you just look it up on whatever browser you're using. searching "wildcatter Texas" you will find many sites and images backing me up. One site saying and I quote "W.A. MONCRIEF: I think a wildcatter is a man who is imbued with a spirit of making a real discovery and is willing to take greater chances and play greater odds than the oil companies or men who are more conservative. MAT BARTON: Takes money. It takes money and plenty of it to do a wildcat well. And a man who hasn't got too much sense." Many sites also say the same thing. but if you are curious then go check yourself. I think this is also why many schools in Texas are Wildcats seeing as oil was one of the best things to happen in Texas.

Answer: b

Explanation: I took test plus oil was very very important

When is it okay to touch the inside of a computer that is turned on?.

Answers

When using a multimeter to measure voltage output

this is my pictures of leafpool and jayfeather

Answers

Answer:

it looks really good, i like the details of the ears!

Explanation:

Answer:
Kitty Kitty Kitty Kitty cat
Explanation:

How is a phylogenetic tree similar to a dichotomous key.

Answers

A phylogenetic tree represents the history of lineages of organisms, a dichotomous key is a tool to discover which group an organism belongs to, using taxonomic keys, both structures were founded by Carl Linneaus.

What is a phylogenetic tree?

It is a schematic diagram used to illustrate or represent hypotheses about the evolutionary relationships between a group of organisms.

What is a dichotomous key?

It consists of a model or scheme that allows the determination of different species.

Therefore, we can conclude that a phylogenetic tree is a structure used to represent ancestor-descendant relationships, a dichotomous key identifies the species to which an organism belongs, both structures were founded by Carl Linneaus.

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Answer:

Both focus on illustrating taxonomic relationships between organisms.

What is the molar mass of diazepam (valium ® ) if 0. 05570 mol has a mass of 15. 86 g ?.

Answers

Answer:

What is the molar mass of diazepam (valium) if 0.05570 mol has a mass of 15.86 g?

A:

= 15.86 g              

Which style did the artist use to decorate this horse bit from luristan?.

Answers

Answer:

The artist used Animal Style

Explanation:

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A. In cell a6, enter a formula without using a function that references cell a6 in the washington worksheet.

Answers

The formula to use without using a function is 'Washington worksheet'a6!

What is Cell Referencing?

In Microsoft Excel, A cell reference is the referencing of a cell or a group of cells on a worksheet that can be used in computation to discover the data values that you want to calculate.

So, suppose we have a cell a6 on the worksheet and we want to go to the Washington worksheet.

We need to follow these  procedures:

Take the name of the Washington worksheetEnclose it in single quotation marks. Use an exclamation point. i.e. 'Washington worksheet'a6!

This will take the value from cell a6 and place it in our cell.

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Strawberry sells bicycles. One bicycle sells for $85, and the cost to produce a bicycle is $65. What is strawberry's return on investment (roi)?.

Answers

We will see that the return on investment is 30.77%

How to get the return on investment?

The return on investment is given by the formula:

ROI = 100%*(selling price - cost)/(cost).

Here we have:

Selling price = $85Cost = $65.

Replacing that on the above formula, we get:

ROI = 100%*($85 - $65)/$65= 30.77%

This means that the store wins 30.77% of what the pay for the product.

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If quadrilateral pqrs is a kite, which statements must be true? select three options qp ≅ qr pm ≅ mr qr ≅ rs ∠pqr ≅ ∠psr ∠qps ≅ ∠qrs.

Answers

If quadrilateral pqrs is a kite, the statements that must be true is that:

qp ≅ qr pm ≅ mr ∠qps ≅ ∠qrs.

What are quadrilateral?

This is a term that is found in geometry. A quadrilateral is known to be a kind of a closed, two-fold shape that has four straight sides.

The polygon is also known to have four vertices or corners. The shape of quadrilaterals can be seen in a lot of things around us. If quadrilateral pqrs is a kite, the statements that best shows that it is a kite are qp ≅ qr, pm ≅ mr , and ∠qps ≅ ∠qrs.

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Answer:

A, B, and E are the correct options.

Explanation:

Two disjoint pairs of consecutive sides are congruent by definition - QP≅QR and QR is not congruent to RS (one side can’t be used in both pairs);

One diagonal (segment QS, the main diagonal) is the perpendicular bisector of the other diagonal (segment PR, the cross diagonal), so PM≅MR;

The opposite angles at the endpoints of the cross diagonal are congruent, thus ∠QPS≅∠QRS.

∠PQR is not congruent to ∠PSR, because they are not angles at the endpoints of the cross diagonal.

Therefore, A, B, and E are the correct options.

A number decreased by 12 is equal to 9 what is the number.

Answers

Answer:

21 is the correct answer

Explanation:

9+12=21

21-12=9

In 2004, the general social survey (which uses a method similar to simple random sampling) asked, "do you consider yourself athletic?" for this question, 255 people said that that they did out of 2373 randomly selected people. We will make a 99% confidence interval for:.

Answers

Using the z-distribution, as we are working with a proportions, it is found that the 99% confidence interval for the proportion of people who consider themselves athletic is (0.0911, 0.1239).

What is a confidence interval of proportions?

A confidence interval of proportions is given by:

[tex]\pi \pm z\sqrt{\frac{\pi(1-\pi)}{n}}[/tex]

In which:

[tex]\pi[/tex] is the sample proportion.z is the critical value.n is the sample size.

In this problem, the parameters are as follows:

[tex]z = 2.575, n = 2373, \pi = \frac{255}{2373} = 0.1075[/tex]

The lower limit of this interval is:

[tex]\pi - z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1075 - 2.575\sqrt{\frac{0.1075(0.8925)}{2373}} = 0.0911[/tex]

The upper limit of this interval is:

[tex]\pi + z\sqrt{\frac{\pi(1-\pi)}{n}} = 0.1075 + 2.575\sqrt{\frac{0.1075(0.8925)}{2373}} = 0.1239[/tex]

The 99% confidence interval for the proportion of people who consider themselves athletic is (0.0911, 0.1239).

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How does the poem fit the structural definition of a lyric poem brainly.

Answers

Poem fit the structural definition of a lyric poem when it short and emotional.

What is a Poem?

poem are writing that are rhythmic, the writings or words are selected based on the sound it's produced and beauty and they are arranged in short line form.

A lyric poem is usually full of emotions and song like. The poem is narrated or read in first person and short.

Therefore, for poem to fit the structural definition of a lyric poem it must be short and emotional.

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The school store has 1500 pencils in stock and sells an average of 20 pencils per day. The manager reorders when the number of pencils in stock is 460.

Answers

The number of days it will take the manager to reorder pencils is 52 days

How many days will it take to reorder the pencils

Given:

Total pencils in stock = 1500Average pencils sold per day = 20

Number of pencils remaining before reorder = 460

Number of pencils sold before reorder = 1500 - 460

= 1,040 pencils

Number of days used to sell the pencils = Number of pencils sold before reorder ÷ Average pencils sold per day

= 1,040 ÷ 20

= 52 days

The complete question:

in how many days will the manager have to reorder

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A positively-charged piece of plastic is placed next to an electrically neutral piece of paper. What is the force between them?.

Answers

The force between a positively charged plastic and a neutral paper is :

Attractive because the plastic polarizes the paper

Force of attraction

The force of attraction between a positively charged material and a neutral material becomes stronger as the positively charged material polarizes the neutral material which enables it to exert an attractive force on the neutral material.  while

The electrical force of attraction between charged materials reduces with the increase in distance between them.

Hence we can conclude that the force between a positively  charged plastic and a neutral paper is attractive because the plastic polarizes the paper.

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Which of the following best describes the effect of the new deal on the great depression.

Answers

Answer:Roosevelt's "New Deal" aimed at promoting economic recovery and putting Americans back to work through Federal activism. New Federal agencies attempted to control agricultural production, stabilize wages and prices, and create a vast public works program for the unemployed.

Explanation:

Which of the following ions would have a tetrahedral shape.

Answers

I’m not sure if you were supposed to include options but from what I’ve learned,
• AB4 molecules: tetrahedral shape, 109.5°
• AB3E molecules: trifocals pyramidal shape, 107°
• AB2E2: bent/angular shape, 105°

Light stimuli entering the eye encounter a series of structures while traveling to the brain. Place the structures in the correct order.

Answers

Placing the structures encountered by light stimuli when entering the eye in correct order is as follows :

Cornea --> Retina ---> Rods and cones ----> Ganglion cells ---> Optic nerve ----> Thalamus ----> Primary visual cortex

Steps followed by the light stimuli

When light enters the eye it will have to travel through these structures before the light stimuli will get to the optic nerve which relates the stimuli to the brain for interpretation and relay of message to the eye.

The cornea is part of the outermost part of the human eye that receives the stimuli before relating it to the retina which in turn sends the stimuli to the rods and cones and so on.

Hence we can conclude that the correct order is as follows : Cornea --> Retina ---> Rods and cones ----> Ganglion cells ---> Optic nerve ----> Thalamus ----> Primary visual cortex.

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Consider the situation in which the health inspector finds the sample mean of the 4 pools to be outside the safe ph levels. As a result, the inspector declares that the population mean is not 7. 5. However, if the population mean really is 7. 5, the inspector will have made an error. Such an error is called a type i error. Find the probability that the inspector will make a type i error with the sample of 4 pools. Show your work.

Answers

The probability of Type I error is the likelihood of finding a mean outside

the safe zone for the 4 pools.

The probability that the inspector will make a Type I error is 0.0026

What is a Type I error and what is the probability that it will occur?

In hypothesis testing, a Type I error is the error of rejecting a true null

hypothesis.

From a similar question, the possible parameters are;

The safe pH levels for swimming pools is between 7.2 and 7.8

The standard deviation is 0.2

The probability that the pH is within the safe zone is found as follows;

[tex]The \ z-score, \ Z = \mathbf{\dfrac{\overline x - \mu}{\dfrac{\sigma}{n} }}[/tex]

Which gives;

[tex]\mathbf{P \left(\dfrac{7.2 - 7.5}{\dfrac{0.2}{\sqrt{4} } } < \dfrac{\overline x - \mu}{\sigma} < \dfrac{7.8 - 7.5}{\dfrac{0.2}{\sqrt{4} }} \right)} = P(-3 < Z < 3)[/tex]

P(-3 < Z < 3) = P(Z < 3) - P(Z > -3) = P(Z < 3) - (1 - P(Z < 3))

P(Z < 3) - (1 - P(Z < 3) = 2·P(Z < 3) - 1

2·P(Z < 3) - 1 = 2 × 0.9987 - 1 = 0.9974

The probability that the swimming pool is not safe = 1 - (2·P(Z < 3) - 1)

1 - (2·P(Z < 3) - 1) = 1 - 0.9974 = 0.0026

Which gives;

The probability that the mean will be seen as not in the safe zone and therefore not 7.5 is 0.0026 and the probability that the inspector will make a Type I error is 0.0026

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Which of the following equation has x = 6 as the solution?.

Answers

3x = 3 x 6 should be the equation because 3 x x is 3 x 6

There are 1,000 golden delicious and 1,000 red delicious apples in a cooler. In a random sample of 75 of the golden delicious apples, 48 had blemishes. In a random sample of 75 of the red delicious apples, 42 had blemishes. Assume all conditions for inference have been met. Which of the following is closest to the interval estimate of the difference in the numbers of apples with blemishes (golden delicious minus red delicious) at a 98 percent level of confidence?.

Answers

Using the z-distribution, it is found that the 98% confidence interval for the difference in the proportion of apples with blemishes is of (-0.1055, 0.2655).

Sample proportions and standard errors

The sample proportions, and standard error for each sample, are given as follows:

[tex]p_G = \frac{48}{75} = 0.64[/tex]

[tex]s_G = \sqrt{\frac{0.64(0.36)}{75}} = 0.0554[/tex]

[tex]p_R = \frac{42}{75} = 0.56[/tex]

[tex]s_R = \sqrt{\frac{0.56(0.44)}{75}} = 0.0573[/tex]

Distribution of differences

The distribution of differences has mean and standard error given by:

[tex]p = p_G - p_R = 0.64 - 0.56 = 0.08[/tex]

[tex]s = \sqrt{s_G^2 + s_R^2} = \sqrt{0.0554^2 + 0.0573^2} = 0.0797[/tex]

What is the confidence interval?

The confidence interval is given by:

[tex]p \pm zs[/tex]

z is the critical value. We have a 98% confidence level, hence, using a z-distribution calculator, it is of z = 2.327.

The lower limit of this interval is:

[tex]\pi - zs = 0.08 - 2.327(0.0797) = -0.1055[/tex]

The upper limit of this interval is:

[tex]\pi + zs = 0.08 + 2.327(0.0797) = 0.2655[/tex]

The 98% confidence interval for the difference in the proportion of apples with blemishes is of (-0.1055, 0.2655).

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Gustav was out for his daily walk when he was approached by a thief who demanded his wallet. He immediately felt an increase in his breathing and heart rate. Which of the following accurately describes gustav’s physiological response?.

Answers

The term that accurate describes Gustav's physiological response is: alarm reaction.

What is the Alarm Reaction Stage?

The alarm reaction stage is characterized by what we can call the "fight-or-flight" response. This occurs when the body receives signal of danger or stress, and thereby puts the body on high alert.

When this occurs, the body initiates psychological response such as increased breathing and heart rate, which prepares the body to either protect or flee from the perceived danger.

Therefore, the term that accurate describes Gustav's physiological response is: alarm reaction.

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Immediately after digestion in the small intestine, most dietary fats are absorbed into the.

Answers

Immediately after digestion in the small intestine most dietary fats are absorbed into the bile.

What is the bile?

This is the part that is secreted by the liver that is able to perform these functions

Carrying wasteBreaking down of fats during digestion.

The bile is where the emulsification of the fats happen after they have been absorbed.

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John is out sick today. Can you take on some of his work? below are his activities that we need to complete today.

Answers

The information presented is very effective for John's friend to complete the tasks.

This information is effective, as it allows John's friend to identify activities that should be carried out first, as they are priorities and should receive greater focus and dedication.

What are private activities?Most important activities.Activities that require more dedication.Activities that must be done first.

Therefore, as John's friend knows what the priority activity is, he can organize himself better, dedicating more time to activities that require it.

The question you asked is incomplete, but you can find the full version in the attached photo.

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John is out sick today. Below are his activities that we need to complete today.

An activity is a purposeful pursuit or engagement with a specific objective in mind. What kind of activities you engage in will significantly determine how well you achieve your goal. A typical academic endeavour aims for academic learning and high scores.

Teaching strategies include using curriculum activities to make lessons engaging, simple to understand, and successful. It lists the objectives, learning experiences, teaching materials, assessments, and goals of a particular educational programme.

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Which of the following statements best illustrates a social-cognitive explanation for the development of depression?.

Answers

Answer:

Yolanda ruminates about her failures, so she is more likely to develop depression

Explanation:

Arrange the jumbled sentences to form an organized paragraph.

Answers

Answer:

what sentences??

Explanation:

We need a photo so we can further instruct you in what to do

A sociologist is studying the social media habits of high school students in a school district. The sociologist wants to estimate the average total number of minutes spent on social media per day in the population. A random sample of 50 high school students was selected, and they were asked, "how many minutes per day, on average, do you spend visiting social media sites?" which of the following is the most appropriate inference procedure for the sociologist to use?.

Answers

Answer:

A one-sample z-interval for a population proportion

Explanation:

One-sample z-interval for a population proportion.

Who is Sociologist?

Sociology is the study of how people affect and are affected by society. According to the dictionary, "the systematic study of society and social interaction" is what sociology is.

The word "sociology," which is described as "reasoned conversation concerning friendship," is derived from the Latin word socius, which means "fellow," and the Greek word logos, which means "saying or reason."

Sociologists use a variety of methods to study society and social behavior. They examine how people develop social structures, organizations, communities, cultures, and groups before applying these lessons to the real world.

Therefore, One-sample z-interval for a population proportion.

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hey guys are you able to search up peoples names to freind them my main acc got banned and i cant find my freind please help me guys

Answers

Answer:

do you remember a question or answer that they asked or said?

Explanation:

you can search for the question and find them through there

Sam is proving the product property of logarithms. Step justification mc030-1. Jpg given mc030-2. Jpg substitution which expression and justification completes the third step of her proof? mc030-3. Jpg; power rule of exponents mc030-4. Jpg subtraction property of exponents mc030-5. Jpg multiplication rule of exponents mc030-6. Jpg division property of exponents.

Answers

Based on the properties of logarithms, Sam's justification for the third step would be  [tex]log_{b} ( b ^{x} ^{+} ^{y})[/tex] power rule of exponents.

Why would this be the third step?

When multiplying bases that are the same but with different exponents, the exponents should be added.

= [tex]log_{b} (b^{x} . b^{y})[/tex]

Can be written as:

= [tex]log_{b} ( b ^{x} ^{+} ^{y})[/tex]

In conclusion, option C is correct.

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Answer:

c

Explanation:

got it right on edge 2022

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please please please help I need help!!!!!!!!! Directions: Solve the following inequalities. Be sure to follow the rules for operations with signed numbers.1. -4x + 2 > 02. +5x > x + 43. 3x + 4 < 104. -10x + 5 -4 > 4x + 35. 6x + 3 < 7x - 106. 2x - 4 < 8x + 27. -3s + 3 > 38. 4s + 2s > 69. 6t < 1210. 11x < 12111. 3x > 3612. 25x < 50013. 16r < 8 (10)14. 6s > 21615. 8x < 64 Kunio puts $2,200.00 into savings bonds that pay a simple interest rate of 2.4%. How much money will thebonds be worth at the end of 4 years?O $4,734.40O $2,387.25O $2,411.20O $211.20 Displayed to the right are two carts connected by a cord that passes over a small frictionless pulley. Each cart rolls freely with negligible friction. Consider the mass of the cart to be m1 and the angle the first cart sits on to be 1, while the mass of the second cart as m2 and the angle it sits on to be 2. How did farm practices change in texas after the civil war. In the 1800s, European nations looked to control other countries in part to expand trade networks and establish global military bases. This policy was know as How does learning about immigration between 1896 and 1914 affect your view of immigration in Canada today? Which phenomenon do solar panels rely on to produce electricity from sunlight? Which do DNA and RNA have in common?a. Both contain phosphate groups.b. Both contain ribose molecules.c. Both contain uracil.d. Both are double stranded. Special right triangle 30-60-90 degrees lesson 3 homework if someone has a maximum heart rate of 200 bpm, how many beats per minute would their heart rate need to be at in order to reach 100% of their maximum heart rate What are some of the biggest environmental issues that the Great Lakes face? Choose all that apply.A)acid rain from ManitobaB)overpopulation of OntarioC)volcanic emissions from Mt. FujiD)melting of Icecaps in AntarcticaE)invasive species like algae and Zebra Mussels Tintoretto was known fora. creating the most famous "Last Supper" painting.b. creating small-scale models of his paintings.c. being the Father of Mannerism.d. all of the above WHICH IS BIGGERWHICH IS BIGGER i'll give brainlist for you if you help me evaluate 6 squared - 9 / X when x equals 3 19. A strategy to reduce resource use through decreased demand and increased efficiency isconservationrecyclingsource reductionbiodiversity A bag contains 4 blue coins and 8 red coins. A coin is removed at random and replaced by three of the other color. Part 1 out of 3:What is the probability that the removed coin is blue? Enter your answer as a simplified fraction. The probability that the removed coin is blue is ______. How mainly did the spread of political unrest during Romanticism influence the work of some of its major figures? options: A) By giving them a strong tendency to support activist causes of their time B) By disillusioning them and making them turn away from politics. C) By uniting them to work hard against revolutionary causes. D) By proving that their influence has spread worldwide.