An architect wants to use the riser-tread formula to design a stairway with a total rise of 9 feet, a riser height between 7 and 8 inches, and an odd number of steps. With the architect’s constraints, which of the following must be the tread depth, in inches, of the stairway? (1 foot = 12 inches)
A) 7.2
B) 9.5
C) 10.6
D) 15
Answers
Answer:
Option C
The answer is 10.6
Explanation:
Here,
Total rise = 9 feet
Now, 1 foot = 12 inch
So, 9 x 12 inches = 108 inches
A riser height between 7 and 8 inches,
i.e., 8 ≤ h ≤ 7
Total riser = xh ...(1)
where x is the number of steps and h is the riser's height.
From equation (1),
x = Total riser ÷ h
Total riser = 108
h = 8 ≤ h ≤ 7
Thus,
x = 108/8 ≤ h ≤ 108/7
x = 14 ≤ h ≤ 15 ....(2)
Since the number of steps (x) is an odd number,
So, x = 15 [from equation (2)] (.°. 14 is not an odd number)
Also, from equation (1),
h = total riser/x
h = 108/x = 108/15 = 7.2 [it's between 7 and 8]
from riser-tread formula,
2h + d = 25
d = 25 - 2h
d = 25 - 2(7.2)
d = 25 - 14.4
d = 10.6
Thus, The answer is 10.6
-TheUnknownScientist
Answer:
Explanation:
The riser-tread formula states riser (R)+ tread (T) = 17 inches minimum, or 18 inches maximum.
Given R is between 7 - 8 inches, T must be between 9 - 11 inches. So the only choices within this range are B) 9.5 and C) 10.6.
As the number of steps must be odd:
for R between 7 - 8 inches, the total rise of 9 feet i.e. 108 inches requires -
108/7 = 15.4 ~ 16 steps to
108/8 = 13.5 ~ 14 steps
15 steps is an odd number between 14 and 16.
With 15 steps, R = 108/15 = 7.2"
For choice B, R + T = 7.2 + 9.5 = 16.7" which is short of the riser-thread formula.
For choice C, R + T = 7.2 + 10.6 = 17.8" which satisfies the riser-thread formula and is the correct answer.
Edit: I missed the riser-thread formula in this question has been defined as 2h + d = 25. So the above calculation was done with a different definition of the formula but arrived at the same answer.
Related Questions
_____ offer bachelor's degrees.A.Community collegesB.Four-year collegesC.Early collegesD.Junior colleges
Answers
Explanation: junior colleges only offer undergrads not bachelors
Answer:
B Four year colleges
Explanation:
thats how long it takes to get one
What about the Haiku inspires Noni?
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Answer:
it had to follow a pattern
Explanation:
she doesn't like reading
Answer: it has a pattern to follow
Explanation: took quiz
helpppppp plssssss ttttyyyy
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Answer:
Weathering and Erosion
PLEASEEE HELPPP ASAP I WILL GIVE BRAINLSIT There is pollution that has spilled into a lake. Explain why the birds who live on the lake are more likely to survive than the fish.
Answers
The birds are more likely to survive than the fish because the fish actually live in the lake and get resources from there. If the lake gets polluted, the water, oxygen, and food will get worse and the fish will slowly start to die. But the birds can just look for their resources somewhere else.
Answer:
You see birds can fly but fish cannot. Birds can breath outside of water but fish can't. So in this scenario birds have the advantage. Fish can't leave the water so they will be contaminated with the pollution. Birds can leave the water because they can fly to safety.
Combine the two ideas into a single sentence.
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A contrasting idea is introduced
What about the Haiku inspires Noni? please help now and quick
Answers
Answer:
it has a pattern to follow
Explanation:
she wants a clear 1 2 3 step, which is why she likes math as said earlier. the haiku will "give her a structure to follow" or a pattern to follow.
help plsssssssssssssssssssssss
Answers
The only reason her husband did not consult her about his business was that she did not wait to be consulted. What role does the sentence playing in the excerpt?
Answers
Answer:
The sentence helps to define the personality and character of William Tavener's wife.
Explanation:
The Sentimentality of William Tavener is a short story about a Phlegmatic but hardworking man whose wife on the other hand was a choleric, and a domineering wife.
William Tavener's wife is also described as a good manager who was constantly on the move, spirited and practical. The phrase "she didn't wait to be consulted" meant she was very busy.
So the sentence does the job of portraying her nature and introducing her character to the reader.
Cheers
Write an argumantive essay for or against viewing sports figures and celebrities as positive role models. please help a ASAP I need to write a 150 word essay
Answers
Answer:
Sports figures and celebrities have long been viewed as positive role models for many people. On the one hand, they have the power to inspire and motivate others to achieve their goals, as well as provide a sense of belonging to those who look up to them. For example, athletes can demonstrate the importance of hard work, dedication, and discipline needed to succeed in any field. Furthermore, celebrities can show that one can become successful despite their background or circumstances. On the other hand, there are some drawbacks to viewing sports figures and celebrities as role models. For example, they often live extravagant lifestyles and may not be the best examples of how to handle money responsibly. Additionally, their behavior may not be the best representation of the values that should be instilled in young people. Ultimately, while sports figures and celebrities can be inspiring, it is important to remember that they should not be viewed as role models in all aspects of life.
Explanation:
When can a bank repossess someone's car?
when the owner defaults on the loan payments
when the owner gets into an accident
when the owner cancels the insurance
when the owner buys a used car
Answers
Answer:
A
Explanation:
Technically, as soon as a credit account is delinquent, the lender can take action to repossess the property tied to the loan. In the case of a car loan, if you miss a payment, the bank could repossess the vehicle without notice.
They don't pay, it get's taken away!
Answer:
2nd one I think if I'm wrong my apologies:)
Match each sentence part to the question it answers.
Answers
Answer and Explanation:
Which sentence part includes the subject and main action?
Nani began to count syllables
Which sentence part tells when the action was performed?
After closing her eyes and exhaling
Which sentence part tells how the action was done?
Silently and perfectly
#teamtrees #PAW (Plant And Water)
Write two or more sentences to explain how climate change can affect plants and animals.
Answers
Climate change can affect plants and animals because plants can get destroyed by the wind and rain. Animals can face dehydration and other problems that can affect their health.
In a study of exercise, a large group of male runners walk on a treadmill for six minutes. Their heart rates in beats per minute at the end vary from runner to runner according to the (104,12.5) distribution. The heart rates for male nonrunners after the same exercise have the (130,17) distribution.
(a) What percent of the runners have heart rates above 140?
Answers
Percentage for the runners with heart rate of above 140 is 50.199% probability.
How to calculate heart rate probability?To calculate percentage of runners heart rate;
Mean, μ = 104
Standard deviation, σ = 12.5
Probability = P(X > 140)
P(X > 140) = [tex]1 - P (\frac{X - μ}{σ} \leq \frac{140 - μ}{σ})[/tex]
P(X > 140) = [tex]1 - P (Z \leq \frac{140 - 104}{12.5})[/tex]
P(X > 140) = [tex]1 - P (Z \leq \ 2.88)[/tex]
For a Z score of 2.88, the cumulative from mean probability and percentile are:
The normal distribution for 2.88 = 0.49801
P(X > 140) = 1 - 0.49801
P(X > 140) = 0.50199
P(X > 140) = 0.50199 x 100
The percentage for the heart rate = 50.199%
The probability of of runners heart rate above 140 is a 50.199% chance.
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In paragraph 9, why does Paul Ryan tell his audience that he represents "a part of America that includes inner cities, rural areas, suburbs, and factory towns"?
Answers
Paul Ryan tells his audience that he represents "a part of America that includes inner cities, rural areas, suburbs, and factory towns" in order to illustrate that he can connect to a variety of people.
What is the significance of the connection between people?Social connection can lower anxiety and depression, help us regulate our emotions, lead to higher self-esteem and empathy, and actually improve our immune systems. By neglecting our need to connect, we put our health at risk.
Paul Ryan represents a part of America that includes inner cities, rural areas, suburbs, and factory towns. Over the years I have seen and heard from a lot of families, from those running small businesses, and from people who are in need.
Therefore, Paul Ryan tells his audience that he represents "a part of America that includes inner cities, rural areas, suburbs, and factory towns" in order to illustrate that he can connect to a variety of people.
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In a bag of candy, Marsha found that there were 7 red, 8 blue, 5 yellow, and 9 greens pieces of candy. Marsha put all of the pieces of candy back in the bag, and drew one piece of candy out.
Part A:
Complete the following chart to determine the probability that Marsha drew each of the following pieces of candy.
Part B:
Marsha now wishes to determine compound probability. Complete the following chart to determine the probability that Marsha drew each of the following pieces of candy.
If you cannot see, zoom in. Don’t answer if you don’t know the answer. Whoever answers correctly will get Brainliest!
Answers
Answer:
PART A
Red: 7/29Blue: 8/29Yellow: 5/29Green: 9/29PART B
Red or blue: 7/29 + 8/29 = 15/29 Yellow or green: 5/29 + 9/29 = 14/29 Blue or yellow or green: 8/29 + 5/29 + 9/29 = 22/29Explanation:
In this case where the question is asking or OR and the events are mutually exclusive (Mutually exclusive meaning you can't attain two or three different colors in one pick), the compound probability is the sum of the probability of each component event (Probability of Red OR Blue = P(Red) + P(Blue) = 7/29 + 8/29 = 15/29)
Correct the 3 grammatical errors (a/an/the) in the text below.
Once a year, the college goes on a expedition trip to do charity work abroad. Last year’s trip was to help set up the community garden in South America. This year’s trip will be to Kenya. The trips are expensive, but students can save an lot of money by working together and doing fundraising events
Answers
Answer:
Once a year, a college goes on an expedition trip to do charity work abroad. Last year’s trip was to help set up a community garden in South America. This year’s trip will be to Kenya. The trips are expensive, but students can save a lot of money by working together and doing fundraising events.
in the class of 10 students the probability of them passing sst206 is 1/3. then find the probability of a student passing
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PLEASEEE HELPPP ASAPPPPP WILL GIVE BRAINLISTT There is a large increase in the caribou population. Explain what might happen to the caribou and their resources.
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The Caribou’s food and resources would decrease. There would be a change in the food chain which would affect other animals too.
What about the Haiku inspires Noni?
Answers
Answer:
it has a pattern to follow
What is the total number of different 13-letter arrangements that can be
formed using the letters in the word UNCONDITIONAL?
Answers
Answer:
The total number of different 13-letter arrangements that can be formed using the letters in the word UNCONDITIONAL is 13! or 6,227,020,800.
Explanation:
193 - Which of the following items corresponds with blocking the transmission of infection through
eliminating the pathogenic factor?
a. Elimination of the disease
b. Eradication of the disease
c. Fighting against the disease
d. Management of the disease
Answers
Answer:
answer is A
Explanation:
Typically, most high school students who are 16 or older work an average of _____ hours per week.A.5 to 10B.10 to 20C.3 to 5D.30 to 40
Answers
Country Q has an unemployment rate of 7% with GDP growth of .2 and -2% inflation over the past 12 month. What should be central bank of country Q do in response to these economic indicators?
Answers
The central bank of a country controls the amount of money in circulation in order to maintain the health of the economy. Banks can regulate the amount of money in circulation by manipulating interest rates.
What part do central banks play in a nation's economic system's stabilization?Economic and financial stability is largely dependent on central banks. In order to achieve low and stable inflation, they implement monetary policy. Following the global financial crisis, central banks have added more tools to their arsenals to address threats to financial stability and control fluctuating exchange rates.
What part does the central bank play in the growth of the economy?In developing nations, a central bank can be extremely important in creating the financial foundation for growth. A clear and significant activity that falls under this category is the development of local currency and the capital market.
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helpppp plssss tyyyy
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Answer:
igneous rocks
purchased goods from laxman from Rs 60000
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Answer:
dfgsdfg
Explanation:
srewt
A boat heading out to sea starts out at Point AA, at a horizontal distance of 1023 feet from a lighthouse/the shore. From that point, the boat’s crew measures the angle of elevation to the lighthouse’s beacon-light from that point to be 11^{\circ} ∘ . At some later time, the crew measures the angle of elevation from point BB to be 2^{\circ} ∘ . Find the distance from point AA to point BB. Round your answer to the nearest foot if necessary.
Answers
Answer:22bb square roots
Explanation:none
A boat heading out to sea starts out at Point AA, at a horizontal distance of 1023 feet from a lighthouse/the shore. The distance from point AA to point BB is -1114.01 feet.
What is the distance?Distance is a numerical or qualitative measurement of the distance between two objects or places.
The distance of point A from the lighthouse = 1023 feet
The angle of elevation from point A to the lighthouse = 11°
The angle of elevation from point B to the lighthouse = 2°
tanΘ = opposite side to angle / adjacent side to the angle
tan7° = height from sea to the lighthouse / 1023 feet
Height to the lighthouse = tan(11°) × 1023 feet
0.1944 x 1023 feet = 198.8712
For point B
tan3° = 198.8712 feet
Horizontal distance = 198.8712 / tan3°
tan3° = -2.1850
Horizontal distance = 198.8712 / -2.1850 = -91.0165
D = Horizontal distance from B to LH - Horizontal distance from A to LH
Distance from A to B
-91.0165 - 1023 feet = -1114.01
Therefore, the distance from point AA to point BB is -1114.01 feet.
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What about the Haiku inspires Noni?
Answers
Answer:
pattern
Explanation:
Haiku inspired Noni by his pattern to follow. The correct option is D.
What is inspiration?Inspiration is a sensation of elation you have from someone or something, which prompts you to come up with fresh, original ideas. People who can establish a goal and make every effort to achieve it are inspirational.
Achieving your goals requires a lot of self-discipline and commitment to your passions. Adopting this trait enables people to empower those around them.
A haiku satisfies the following criteria: There are three lines. The first and third lines each include five syllables. The second line comprises seven syllables. A haiku is a brief poem that captures a certain moment and helps the reader visualize it. It resembles a tiny window looking into a scene that is considerably bigger than it.
Therefore, the correct option is D, it has a pattern to follow.
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gusto moba magka pera online?madali lang yan
add moko sa fb:princess rhianna su
Answers
Answer:
Who you can choose in any picture
Given the simple linear regression model y=b0+b1xi+µ the drive the error variance
Answers
The error variance can be Illustrated as σ^2 = E(μ^2) = Var(μ) = (1/n) * ∑(y - (b0 + b1x))^2
How to illustrate the error variance?The simple linear regression model is of the form:
y = b₀ + b₁x + μ
y = the dependent variable
x = the independent variable
b₀ and b₁ = the parameters of the model, and μ is the error term.
The error term represents the difference between the observed value of the dependent variable and the value predicted by the model. In other words, it is the deviation of the observed y from the expected value of y, given the value of x.
The error variance, denoted by σ^2, is a measure of the spread of the error term. It is calculated as the average squared deviation of the error term from its mean value, which is zero:
σ^2 = E(μ^2) = Var(μ) = (1/n) * ∑(y - (b₀ + b₁x))^2
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Complete question
Given the simple linear regression model y=b0+b1xi+µ, derive the error variance.
Add the phrase that completes the thought in the underlined sentence.
Answers
Answer:
To Solve an Equation
Explanation: