A set of stairs leading to the entrance of a building is designed in the shape of an isosceles trapezoid with the longer base at the bottom of the stairs and the shorter base at the top. If the bottom of the stairs is 21 feet wide and the top is 14 feet wide, find the width of the stairs halfway to the top

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Answer 1

Answer:

17.5

Explanation:

have to find the midsegment of the rhombus.


Related Questions

nicole is socially inhibited and oversensitive to negative evaluation

Answers

Answer:

avoidant personality disorder

Two identical blocks a and b are connected by a lightweight rope. block a is pulled to the right by a constant force f0. the blocks are moving to the right across a rough surface and approach point p, where the rough surface transitions to a surface with negligible friction. how does the tension, t, in the rope connecting the blocks change, if at all, as block a passes point p?

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When block A passes point P, the negligible friction will lead to the tension, T, between the two blooks A and B increasing.

What happens to the tension after point P?

The tension in the rope can be found by the formula:

= Coefficient of friction x Mass x Acceleration

Thanks to the transition to the surface after point P, the friction is now negligible which means that there will be an increase in acceleration.

This will increase the tension as shown by the formula for tension.

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What do you think the word ""usurpations"" means? what impact did this view of king george iii’s rule have on the form of government that emerged from the declaration of independence? use evidence from the text to support your answer.

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Answer:

The definition of usurpations is; an act of usurping; wrongful or illegal encroachment.

Explanation: i hope this helped

What can you say about the series an in each of the following cases?

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The exercise is related to the Ratio Test for Convergence. The rules for this kind of test are given below.

What are the rules for Ratio Test for Convergence?

The rules are:

If the limit is less than 1 when conducting the ratio test, your series is definitely convergent. The test is inconclusive if the limit is equal to 1. The series is divergent if the limit is greater than 1.

Using this knowledge, we are able to state that

A is not conclusive.C's convergence is absolute.There is divergence with D and E.B and F appear to be employing the nth-term test. The nth-term involves determining the sequence's limit as it approaches infinity.

The nth-term test determines whether a series is divergent if the limit is bigger than 0, thus, both B and F are divergent series.

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In what industry do fertilizers and pesticides wash off and contaminate water supplies?

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agriculture is answer

Use series to approximate the definite integral i to within the indicated accuracy. i = 1/2 x3 arctan(x) dx 0 (four decimal places)

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The expression [tex]\int\limits^{1/2}_0 {x^3 \arctan(x)} \, dx[/tex]  is an illustration of definite integrals

The approximated value of the definite integral is 0.0059

How to evaluate the definite integral?

The definite integral is given as:

[tex]\int\limits^{1/2}_0 {x^3 \arctan(x)} \, dx[/tex]

For arctan(x), we have the following series equation:

[tex]\arctan(x) = \sum\limits^{\infty}_{n = 0} {(-1)^n \cdot \frac{x^{2n + 1}}{2n + 1}}[/tex]

Multiply both sides of the equation by x^3.

So, we have:

[tex]x^3 * \arctan(x) = \sum\limits^{\infty}_{n = 0} {(-1)^n \cdot \frac{x^{2n + 1}}{2n + 1}} * x^3[/tex]

Apply the law of indices

[tex]x^3 * \arctan(x) = \sum\limits^{\infty}_{n = 0} {(-1)^n \cdot \frac{x^{2n + 1 + 3}}{2n + 1}}[/tex]

[tex]x^3 * \arctan(x) = \sum\limits^{\infty}_{n = 0} {(-1)^n \cdot \frac{x^{2n + 4}}{2n + 1}}[/tex]

Evaluate the product

[tex]x^3 \arctan(x) = \sum\limits^{\infty}_{n = 0} {(-1)^n \cdot \frac{x^{2n + 4}}{2n + 1}}[/tex]

Introduce the integral sign to the equation

[tex]\int\limits^{1/2}_{0} x^3 \arctan(x)\ dx =\int\limits^{1/2}_{0} \sum\limits^{\infty}_{n = 0} {(-1)^n \cdot \frac{x^{2n + 4}}{2n + 1}}[/tex]

Integrate the right hand side

[tex]\int\limits^{1/2}_{0} x^3 \arctan(x)\ dx =[ \sum\limits^{\infty}_{n = 0} {(-1)^n \cdot \frac{x^{2n + 4}}{2n + 1}} ]\limits^{1/2}_{0}[/tex]

Expand the equation by substituting 1/2 and 0 for x

[tex]\int\limits^{1/2}_{0} x^3 \arctan(x)\ dx =[ \sum\limits^{\infty}_{n = 0} {(-1)^n \cdot \frac{(1/2)^{2n + 4}}{2n + 1}} ] - [ \sum\limits^{\infty}_{n = 0} {(-1)^n \cdot \frac{0^{2n + 4}}{2n + 1}} ][/tex]

Evaluate the power

[tex]\int\limits^{1/2}_{0} x^3 \arctan(x)\ dx =[ \sum\limits^{\infty}_{n = 0} {(-1)^n \cdot \frac{(1/2)^{2n + 4}}{2n + 1}} ] - 0[/tex]

[tex]\int\limits^{1/2}_{0} x^3 \arctan(x)\ dx = \sum\limits^{\infty}_{n = 0} {(-1)^n \cdot \frac{(1/2)^{2n + 4}}{2n + 1}}[/tex]

The nth term of the series is then represented as:

[tex]T_n = \frac{(-1)^n}{2^{2n + 5} * (2n + 4)(2n + 1)}[/tex]

Solve the series by setting n = 0, 1, 2, 3 ..........

[tex]T_0 = \frac{(-1)^0}{2^{2(0) + 5} * (2(0) + 4)(2(0) + 1)} = \frac{1}{2^5 * 4 * 1} = 0.00625[/tex]

[tex]T_1 = \frac{(-1)^1}{2^{2(1) + 5} * (2(1) + 4)(2(1) + 1)} = \frac{-1}{2^7 * 6 * 3} = -0.0003720238[/tex]

[tex]T_2 = \frac{(-1)^2}{2^{2(2) + 5} * (2(2) + 4)(2(2) + 1)} = \frac{1}{2^9 * 8 * 5} = 0.00004340277[/tex]

[tex]T_3 = \frac{(-1)^3}{2^{2(3) + 5} * (2(3) + 4)(2(3) + 1)} = \frac{-1}{2^{11} * 10 * 7} = -0.00000634131[/tex]

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

At n = 2, we can see that the value of the series has 4 zeros before the first non-zero digit

This means that we add the terms before n = 2

This means that the value of [tex]\int\limits^{1/2}_0 {x^3 \arctan(x)} \, dx[/tex] to 4 decimal points is

[tex]\int\limits^{1/2}_0 {x^3 \arctan(x)} \, dx = 0.00625 - 0.0003720238[/tex]

Evaluate the difference

[tex]\int\limits^{1/2}_0 {x^3 \arctan(x)} \, dx = 0.0058779762[/tex]

Approximate to four decimal places

[tex]\int\limits^{1/2}_0 {x^3 \arctan(x)} \, dx = 0.0059[/tex]

Hence, the approximated value of the definite integral is 0.0059

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Lesson 4.1 practice c geometry answers mcdougal littell

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Lesson 4.1 practice c geometry question is below: What is the classification of the angle (Image attached.)

What is Lesson 4.1 practice geometry about?

This is known to be a textbook that was written as McDougal Littell Geometry.  It is regarded as a Practice Workbook  and it was the 1st Edition.

The classification of the angle is known as an acute angle. Note that an Acute angles is one that is known to be less than 90 degrees.

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Find the mass of a football player who weighs 1250 n of force and has an acceleration of 1.5 m/s2

Answers

Mass=force/acceleration
1250/1.5=833.3

Checking temperatures with a cleaned and sanitized thermometer complies with which haccp principle

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Based on HACCP principles, checking temperatures with a cleaned and sanitized thermometer is in tandem with the fourth HACCP principle (monitoring).

What is HACCP?

HACCP is an abbreviation for Hazard Analysis Critical Control Point and it can be defined as a management system which is used to ensure food safety, specifically through the analysis and control of the following:

Biological, physical, and chemical hazards during raw material production.Procurement and handling of food equipment.Manufacturing, distribution, and consumption of the finished food product.

Generally, the fourth HACCP principle (monitoring) involves checking the temperature of food products by using a cleaned and sanitized thermometer.

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In which aquatic ecosystem does fresh water meet salt water? wetlands intertidal zones estuaries neritic zones

Answers

Answer:

estuaries

Explanation:

it's a place similar to a river where salt water meets fresh water

Answer:

estuaries neritic zones

What roles are most important in a text-based discussion? check all that apply.

Answers

Answer:

The roles which  are most important in a text-based discussion is:

B) Summarizing the text that the group has read

C) Sharing an idea, claim, or theory about the story

D) Asking other participants questions about what they feel.

Text-based educating includes express educating of the construction of various text types and an informative methodology in which the instructor presents the message and its motivation highlights, guides understudies through the creation of messages however the most common way of framework.

Explanation:

i hope this helped

Answer:

B) Summarizing the text that the group has read

C) Sharing an idea, claim, or theory about the story

D) Asking other participants questions about what they feel.

Explanation: the one above is correct

Convert into mathematical statement: six less than 2 times "y" is 34.

Answers

Answer:

2y-6=34 is the needed equation

Explanation:

In a joint family couples are encouraged to produce more children.justify

Answers

Answer:

because the grand parents who are old and there mind also old.

Explanation:

the previous people think that children is a source of money. But they don't know it will be the lack of money for their education, shopping, and their needs

gettysburg national military park museum and visitor center

Answers

I’m sorry I didn’t understand the question you were trying to get answered. Please give more details about what you are trying to ask and I can try and help you!

Giada is at an extracurricular activity fair for her high school and is trying to decide which clubs to join. her hobbies include fixing old appliances and rebuilding them to sell at flea markets. she prefers not to have children when she's older and faints at the sight of blood. she's never been thrilled about public speaking.

Answers

Answer:

Giada should join HOSA.

Explanation:

Did the test

Answer:

Giada should join the FEA

Explanation:

i took the edge unit test :)

In exercise, simplify each algebraic expression. 3(4y − 5) − (7y 2)

Answers

Answer:

-2y-15

Explanation:

12y-15-14y

-2y-15

Discuss the correct exposure and how is it necessary

Answers

Answer: The correct exposure means you combination of settings between aperture shutter speed ISO speed have produced a perfectly exposed image

Explanation:

What is the mean cost of replacing brake pads for four different vehicles at these four prices: $120, $235, $98, and $142?

Answers

The mean cost for the replacement of these brake pads for four different vehicles is equal to $148.75.

What is a mean?

A mean can be defined as a terminology that is used to connote a ratio of the sum of the total number of a data set to the frequency of the data set.

How to calculate the mean cost?

Mathematically, the mean cost for the replacement of these brake pads for four different vehicles would be calculated as follows:

Mean cost = [120 + 235 + 98 + 142]/4

Mean cost = 595/4

Mean cost = $148.75.

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What are the solutions of x2 = 8 – 5x? startfraction 5 minus startroot 57 endroot over 2 endfraction comma startfraction 5 + startroot 57 endroot over 2 endfraction startfraction negative 5 minus startroot 57 endroot over 2 endfraction comma startfraction negative 5 + startroot 57 endroot over 2 endfraction startfraction negative 47 over 4 endfraction comma startfraction 67 over 4 endfraction startfraction negative 67 over 4 endfraction comma startfraction 47 over 4 endfraction

Answers

The solution of the equation x² = 8 - 5x is startfraction negative 5 minus startroot 57 endroot over 2 endfraction comma startfraction negative 5 + startroot 57 endroot over 2 endfraction

How to solve quadratic equation?

x² = 8 - 5x

x² + 5x - 8 = 0

Using quadratic formula

x = -b ± √b² - 4ac / 2a

= -5 ± √5² - 4(1)(-8) / 2(1)

= -5 ± √25 -(-32) / 2

= -5 ± √25 + 32 / 2

= -5 ± √57 / 2

= -5 + √57 /2 or -5 -√57/2

Therefore, the correct answer is; startfraction negative 5 minus startroot 57 endroot over 2 endfraction comma startfraction negative 5 + startroot 57 endroot over 2 endfraction

-5 - √57 / 2, -5 + √57 / 2

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Answer:

B)

Image to help is below here, sorry if its bad quality but good luck <3

You are given a sample of metal and asked to determine its specific heat. you weigh the sample and find that its weight is 28.4 n. you carefully add 1.25 x 104 j of heat energy to the sample and find that its temperature rises to 18.0 °c. what is the sample’s specific heat?

Answers

The specific heat of the given sample of metal is 14.32 J/kg.K.

What is the Specific heat of a sample?

The specific heat of a sample is the amount of heat needed or required to raise the temperature of that sample by 1K. It is given by the formula:

Q = mCΔT

where;

Q = Heat transferredm = Mass of the substanceC = Specific heat ΔT= Change in temperature.

Recall that:

weight of a substance = mass × gravity

mass = 28.4 N/ 9.8 m/s²mass = 3 N/m/s² = 3 kg

From the equation:

Q = mCΔT

[tex]\mathbf{C = \dfrac{1.25 \times 10^4 \ J}{3 \ Kg \times 291 \ K }}}[/tex]

C = 14.32 J/kg.K

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Calculus early transcendentals 7th edition solutions

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The Calculus early transcendentals 7th edition text book is known to help build your mathematical confidence and thus assist you in the achievement of your goals in terms of the course.

What is the Calculus: Early Transcendentals edition?

This is known to be a text book that was written by Stewart James. The Early Transcendentals Seventh Edition is one  that helps to conveys some of the utility of calculus to aid student to have a good technical competence.

Note that it gives you a background knowledge on calculus, exponential function, linear functions and thus boast your level of knowledge.

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If you travel 300 km in 6 hours what is your average speed

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[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Average speed is defined as total distance covered by total time taken ~

[tex]\qquad \sf  \dashrightarrow \: \dfrac{total \: distance}{total \: time} [/tex]

[tex]\qquad \sf  \dashrightarrow \: \dfrac{300}{6} [/tex]

[tex]\qquad \sf  \dashrightarrow \:50 \: \: kmph[/tex]

The excerpt is from hisaye yamamoto’s story "morning rain," published in 1952. this passage depicts a family conversation. read the passage carefully. then, in a well-written essay, analyze how yamamoto uses literary elements and techniques to convey the ways in which the communication among sadako, mr. endo, and harry reveals their complex relationships.

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Yamamoto uses literary elements such as flashback and paradox to list or show  the language barrier that was said to exist between Mr. Endo, his son-in-law and the other parties involved.

What was the literary elements used in the passage about?

In the excerpt, Yamamoto was said to have make use of flashback and paradox so as to show the language issue that did exist between Mr. Endo and that of his son-in-law.

He also uses the element to show the generational divide that is said to have existed between Sadako and her father, thereby showing the strained in terms of their relationships in the family as a result of lack of communication.

Conclusively, The paradox also tell about the physical hindrances that lead to the issue or wide gap in their relationship.

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which of the following is/are contained within the spermatic cord?

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Answer:

The spermatic cord contains the ductus deferens (vas deferens), the testicular artery and the pampiniform plexus of veins. Other structures in the cord are the cremasteric artery, the artery to the vas, nerve to the cremaster, sympathetic nerves and the lymphatics of the testis and epididymis.

Explanation:

The spermatic cord contains the ductus deferens (vas deferens), the testicular artery and the pampiniform plexus of veins. Other structures in the cord are the cremasteric artery, the artery to the vas, nerve to the cremaster, sympathetic nerves and the lymphatics of the testis and epididymis.

What is the name for a spermatic cord vein abnormal dilation?

A varicocele is an abnormal enlargement and tortuosity of the spermatic cord veins. Although varicoceles are frequently discovered during routine physical examinations and are common in the general population, they are the most frequently treatable cause of male factor infertility.

In the veins located in the scrotum, directly above the testicles, it is thought that varicoceles are brought on by faulty valves. These valves typically control how much blood is sent to and received from the testicles. Blood backs up when normal flow doesn't happen, which causes the veins to enlarge.

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All of the following have been associated with feelings of hope except __________.

Answers

Answer:

What Are the Answer Choices

Explanation:

I believe I know the answer, but I need the answer choices.

what are the three basic steps in the nsc collision prevention formula

Answers

Answer:

Read the road ahead. Reduce your speed. Drive to the Right. Ride off the road if necessary.

Explanation:

I had this on a test and i got it right hope it works

The three basic steps in the NSC collision prevention formula are that Collisions or injuries may be avoided via way of means of following protection regulations and following protection mechanisms.

What are the 3 primary steps of the DDC collision?

The 3 primary steps of the DDC collision prevention formulation are to Recognize, Understand, and Act correctly.

Recognize the risks such that, the driving force need to be alert approximately the surroundings and test the mirrors each five to ten seconds Understand the protection such that the driving force need to appear out for any risks, hazardous driving, and different viable risks at the road. The driving force needs to be capable of recognizing the outcomes of risks.

Always use signals, manipulate the speed, and keep enough distance from the cars to keep away from a collision.

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Lesson 22 understand angle relationships in triangles answer key

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The example of Lesson 22 understand angle relationships in triangles i that the measure of the angle given in the image attached is 65°; supplementary angles add up to 180°.

What are the angle relationships in triangles?

There is the Interior angles which is known to have its both on the inside to be of  parallel lines and as such,  they are supplementary.

An example of Angle Pair Relationship are:

Complementary AnglesSupplementary AnglesAdjacent Angles

The answer is 65° and it is a supplementary angles that can add up to 180°. Note that Two angles are called supplementary when their given measures when added together is up to 180 degrees.

See full question below

What is the measure of ∠DEF? How do you know?

answer choices

65°; supplementary angles add up to 180°

65°; complementary angles add up to 180°

45°; alternate interior angles add up to 90°

135°; supplementary angles add up to 180°

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At the playground which one is an example of a wheel and axle

Answers

Answer:

Not enough information to answer

When data are categorized as, for example, places of residence (rural, suburban, urban), the most appropriate measure of central tendency is the

Answers

If data are categorized as, for example, places of residence, the measure of central tendency to use is the median

What is the median?

This is known to be the middle number in a group of sorted numbers, that are said to be ascending or descending.

From the above statement, the data of distributions that extreme values, the median is a best measure of central tendency as it will give the right accuracy we need.

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The doppler effect indicates that the universe is expanding because_________. which phrase best completes the sentence.

Answers

Answer:  light from other galaxies is red.

Explanation: Astronomers have observed that light from the distant object in the universe is shifted towards the frequency of red color which indicates that those object are receding or moving away from the planet earth.This phenomena was termed as Red shift .Same thing goes for galaxies which are very far away from the planet earth.

Where as if galaxies were moving towards the the planet earth their light would have shifted toward the frequency of blue color termed as blue shift.

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