A stairway rises 6 feet 4 inches over a horizontal distance of 8 feet 6 inches. What is the diagonal length of the stairway

Answers

Answer 1

Answer:

10.6 ft

Step-by-step explanation:

to find the diagonal length of the stairway we can use the pythagorean theorem or a^2 + b^2 = c^2

6'4" is also 6 1/3' or 19/3'

8'6" is also 8 1/2' or 17/2'

now square them both

361/9 + 289/4

make them have the same denominator

1444/36 + 2601/36

add them

4045/36

take the square root

10.6000524 is your answer

10.6 ft


Related Questions

Please help will give brainliest.

Answers

Answer:

13 petunias

Step-by-step explanation:

13x7=91

9x8=72

add them and you get 163

arianna read a total of 24 books in 6 weeks. How many books will she read in 36 weeks at the same rate?

Answers

Answer:

216

Step-by-step explanation:

if she reads 24 books in 6 weeks

you do 36x6

which is 216

A human resources manager keeps a record of how many years each employee at a large company has been working in their current role. The distribution of these years of experience are strongly skewed to the right with a mean of 333years and a standard deviation of 222 years. Suppose we were to take a random sample of 444employees and calculate the sample mean for their years of experience. We can assume independence between members in the sample.
What is the probability that the mean years of experience from the sample of 444 employees xˉxˉx, with, \bar, on top is greater than 3.53.53, point, 5 years?

Answers

Answer:

0.3085 = 30.85% probability that the mean years of experience from the sample of 4 is greater than 3.5 years.

Step-by-step explanation:

To solve this question, we need to understand the normal probability distribution and the central limit theorem.

Normal probability distribution

When the distribution is normal, we use the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the zscore of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

Central Limit Theorem

The Central Limit Theorem estabilishes that, for a normally distributed random variable X, with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean [tex]\mu[/tex] and standard deviation [tex]s = \frac{\sigma}{\sqrt{n}}[/tex].

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean [tex]\mu = p[/tex] and standard deviation [tex]s = \sqrt{\frac{p(1-p)}{n}}[/tex]

Distribution of years of experience:

Mean 3, so [tex]\mu = 3[/tex]

Standard deviation 2, so [tex]\sigma = 2[/tex]

Sample of 4:

[tex]n = 4, s = \frac{2}{\sqrt{4}} = 1[/tex]

What is the probability that the mean years of experience from the sample of 4 is greater than 3.5?

1 subtracted by the pvalue of Z when X = 3.5. So

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

By the Central Limit Theorem

[tex]Z = \frac{X - \mu}{s}[/tex]

[tex]Z = \frac{3.5 - 3}{1}[/tex]

[tex]Z = 0.5[/tex]

[tex]Z = 0.5[/tex] has a pvalue of 0.6915

1 - 0.6915 = 0.3085

0.3085 = 30.85% probability that the mean years of experience from the sample of 4 is greater than 3.5 years.

Answer:

We cannot calculate this probability because the sampling distribution n ot normal

Step-by-step explanation: Khan academy

8th grade math please help

Answers

I am not in 8th grade but it might be the 2nd one

Answer:

167y/3

Step-by-step explanation:

x=24-y

x=100/3-5y/3

Six more than the quotient of a number squared and eleven

Answers

Answer:

Step-by-step explanation:

[tex]\frac{n^2}{11}+6[/tex]

What is the slope of the following equation of a line? 2x + 3y = 12

Answers

Answer:

m = -2/3

Step-by-step explanation:

2x + 3y = 12

-2x. -2x

3y = -2x + 12

÷3. ÷3. ÷3

y = -2/3x + 4

m = -2/3

There’s an easy rule for this form !
if you ever see this form : ax+by=c
and it asks about the slope, then you can use this rule : slope= -a/b

and if it asks about the y-intercept, you can use this rule : y-intercept= c/b

so to get the slope of your question, all you have to do is : slope = -2/3

I hope this helped !

3. Evaluate and graph
the solution.
3. E
the
"the
5x + 9-3x s 21
+
++

Answers

Answer:

x=6

Step-by-step explanation:

5x+9-3x=21

5x-3x=21-9

2x=12

x=6

which statement best describes the roots of f(x)=x^2-6x+25?

Answers

Answer:

permiteme veré en álgebra baldor

The roots of the equation f(x) = x² - 6x + 25 will be 3 - 4i and 3 + 4i.

What are the roots of the equation?

Let the equation be ax² + bx + c = 0. Then the roots of the equation will be

[tex]\rm x = \dfrac{-b \pm \sqrt{b^2 - 4 a c }}{2a}[/tex]

The quadratic equation is given below.

f(x) = x² - 6x + 25

Compare both the equations, then the value of a, b, and c will be 1, -6, and 25, respectively.

Then the roots of the equation are given as,

[tex]\rm x = \dfrac{-(-6) \pm \sqrt{(-6)^2 - 4 \times 1 \times 25 }}{2 \times 1}\\x = \dfrac{6 \pm \sqrt{-64}}{2}[/tex]

Simplify the equation further, then we have

x = 3 ± 4i

The roots of the equation f(x) = x² - 6x + 25 will be 3 - 4i and 3 + 4i.

More about the roots of the equation link is given below.

https://brainly.com/question/12029673

#SPJ2

When building a house, the number of days required to build varies inversely with with the number of workers. One house was built in 75 days by 11 workers. How many days would it take to build a similar house with 33 workers?

Answers

Answer:

25 days

Step-by-step explanation:

11 workers in 75 days

so 33 workers do it in 25 days

MARK ME AS BRAINLIST

Jamie has $5.00 and Matt has $6.00. If they put their money together, will they be able to buy a souvenir program?
Here's the Souvenir prices:
Souvenir Program $13.00
T-shirt $17.00
Cap $12.50
Please help!!!!!!!!!!!!

Answers

Jamie: $5.00
Matt: $6.00

5.00
6.00
+
———-
11.00

If I’m correct No they will not be able to buy a souvenir program unless they get more ....

P(A and B)
Hint:
Find P (Senior Boy)
P(B)
Classroom of Students
Boys Girls
Freshman 4
4 8
Sophomore 5 7 12
[?]
Junior 2 3 5
Senior 1
4 5
12 18
Please help :(

Answers

Answer:

[tex]\frac{1}{12}[/tex]

Step-by-step explanation:

Number of boys = 12

Number of girls = 18

Total number of students = 12 + 18 = 30

Probability refers to chances of occurrence of any event.

Probability = Number of favorable outcomes ÷ Total number of possible outcomes

To find P(Senior | Boy), use [tex]P(A|B)=\frac{P(A\,\,and\,\,B)}{P(B)}[/tex]

P(Senior and Boy) = [tex]\frac{1}{30}[/tex]

P(Boy) = [tex]\frac{12}{30}[/tex]

So,

P(Senior | Boy) = P(Senior and Boy) ÷ P(Boy) = [tex]\frac{\frac{1}{30} }{\frac{12}{30} } =\frac{1}{12}[/tex]

Answer:

1/12

Step-by-step explanation:

What is the unit rate of the equation below? y = 2x + 8

Answers

I don’t know how to find unit rate I don’t even know what it means

what is the Multiplicative of -12​

Answers

multiplicative would be ;

-12 ------> 1/-12

Divide.
24,350 + 50 =
O A. 478
OB. 487
O C. 527
O D. 587


PLS HURRY IM SUPER CONFUSED

Answers

Answer: 487, B.

Step-by-step explanation:

24350 ÷ 50 = 487.

Divide :)

The answer is 487, or B.

What will the area be?


Include the appropriate unit in your answer.

Answers

Answer:

Step-by-step explanation:

area of triangle = ½(base)(height)

= ½(25 m)(12 m)

= 150 m²

I can’t understand the graph

Answers

Focus with the teacher

If 3 people can complete half of a job in 20 days, how long would it take for 12 people to do the complete job?

Answers

Answer:

If 3 people can complete half a job in 20 days, then three people can complete a job in 40 days. Since 12 people is four times as many, instead of taking 40 days, it should take 10 days

mark as brainlist

will be the new 30 is a 50 horizontal percent scale factor decreases and 75% vertical scale factor increases or applied to the rank rectangle above

Answers

Answer:

788888

Step-by-step explanation:

15. 12 kg çilekten 6 kg reçel
yapılıyor.
22 kg reçel yapmak
için kaç kg çileğe ihti-
yaç olur?​

Answers

Answer:

12kg

Step-by-step explanation:

because 2×2×2+4=12

jskgx

Q1. Butternut is a ski resort in Massachusetts. One of their triple chair lifts unloads 576 skiers per hour at the top of the slope. (A triple chair lift can carry three passengers per chair.) If 108 skiers are riding on the lift at any one time, how long does the ride from the bottom to the top take

Answers

Answer:

11.25minutes

Step-by-step explanation:

From the question we are told that lifts unloads 576 skiers per hour at the top of the slope, this is expressed as;

576skiers = 1hr

To determine the time it will take 108skier, we can write

108skier = x

Divide both expressions

576/108 = 1/x

576x =108

x = 108/576

x = 0.1875hr

Convert to minute

x = 0.1875×60

x = 11.25minutes

Hence it took the ride 11.25minutes

7. A pupil sat for a test in five subjects.
He got a total of 380 marks. How
many marks did he lose if every
subject was marked out of 100?
A. 280 B. 500
C. 120
D 220​

Answers

Answer:

option C: 120

Step-by-step explanation:

total marks = 5× 100 = 500

marks he obtained = 380

marks he lost = 500 - 380 = 120

plz mark my answer as brainlist plzzzz.

hope this will be helpful to you.

4 - 2/8 =
what is 4 minus a fraction of 2/8 equal to?

Answers

Answer:

= 15/4

Step-by-step explanation:

4=32/8 so 32/8-2/8=30/8. 30/8 -> 15/4 or 3.75

Solve for z.
-30 = 5(x+1)

Answers

-30= 5 (x+1 )

-5 from 5= 0
-5 from -30= -35

-35= (x+1)

1/-35= -35

Write the following equation in standard form: x^5+ 2x^3 +6x +1/5
- ודם

Answers

Answer:

The equation is in standard form

Step-by-step explanation:

Hope this helps

I NEED THE ANSWER ASAPPP!!! help please

Answers

Answer:

Step-by-step explanation:

x^2 + 8^2 = 9^2

x^2 + 64 = 81

x^2 = 17

x = sqrt(17)

answer is D

If sin(x) = cos(y), which of these are possible values of x and y?
A X=and y = 0
B x = 15 and y = 30
C x = 30 and y = 60
D x = 120 and y = 60

Answers

Step-by-step explanation:

C

good luck

:) :) :) :) :) :) :)

The value of x and y are respectively, 30°, 60°. So option C is correct.

What is trigonometry?

Trigonometry is a branch of mathematics, which deals with the study of right angle triangles. Trigonometry is concerned with specified functions of angles and their applications to calculations.

There are 6 commonly used functions in trigonometry with their name and abbreviations-

sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), cosecant (cosec)

If sin(x) = cos(y), then x and y must satisfy the following relationship:

sin(x) = cos(90 - x)

So, x and 90 - x must both be in the range of 0 to 90 degrees, or x must be in the range of 0 to 45 degrees.

Therefore, the only possible values of x and y that satisfy this relationship are:

x = 30 degrees and y = 60 degrees

Thus, the value of x & y are 30° & 60°

To know more about trigonometry check:

https://brainly.com/question/29002217

#SPJ6

Monte owned stock in Hadley Corporation which paid an annual dividend of $5.15 per share. If the closing price per share was $52.50 in 2011, what was the yield% (to the nearest tenth of a percent)?
7.9%
8.5%
9.8%
10.2%
None of these choices are correct.

Answers

Answer: it going to be 10.2% percent

Step-by-step explanation: that how you get your answer as your -

10.2 %

2yd 9yd. 8yd. Surface area of rectangular

Answers

Answer:

5

Step-by-step explanation:

PLS HELP ME :)) i will mark brainliest!!!

Answers

Answer:

51 deg

Step-by-step explanation:

By corresponding parts of congruent polygons, <BAD is congruent to <FEH.

m<BAD = m<FEH = 51 deg

Answer: 51 deg

Answer:

51 degrees

Step-by-step explanation:

The answer is 51 degrees because the two pyramids shown are congruent which means that since we are given the degree measure of angle FEH then we can plug in that measure to find the measure of angle BAD. We can also use what we know about degrees to figure out that because angle CBA is equal to 129 degrees then angle BAD is equal to the difference between the measure of angle CBA and 180 degrees which is 59 degrees.

х 9 17 25 33 -6 -24 -96 -384 Is the relationship linear , exponential , or neither?

Answers

Answer:

exponential!!! That is the answer if this is for Khan Academy!!

Other Questions
During each of the past three months, Tyler grewby the following amounts: 1/8in., 3/16in., and 1/4in.What is Tyler's total amount of growth over thesethree months?Answer with supporting work: Question 8 of 10What does the medium of the National Geographic report allow it to use thatthe Bloomburg Business report cannot?O A. GraphicsB. LightingC. ImagesD. Sources 1.1. Which statement explains why the two systems of equations below have thesame solution?A6x + 8y = -102x - 5y = 12B8x + 3y = 212x + 16y = -20 Help!! Please!! I'll name you brainliest!! he Supreme Court chooses to hear cases that __________.A.affect only small groups of peopleB.are important to the president, since he/she appoints the justices to the courtC.most often deal with international legal questionsD.involve the Constitution A rectangle is such that the length of 2 of each adjacent sides are in the ratio 1:3. A similar rectangle has 1 side of 6cm. Find 2 possible values for the length of each adjacent sides. what 5/8x + 1/2 (1/4x + 10)? what is the answer to -4 - (-7) Who expanded the Persian empire to its largest area A. Abraham B. Sargon C. Darius the great B. Nebuchadnezzar HELPPPP I DONT KNOW THE ANSWER PLEASE HELP ME 16/20 1/4 = I need help please thank you Why did the Europeans firsttake an interest in the African continent? hello cherry how r u i am back PLS HELP IM TIMED!!Fish eggs that are fertilized externally are typically clustered and covered in a thick, jelly-like substance.What is most likely the function of this substance?a) to protect the eggs and keep them consistently warm inside the parent's bodyb) to protect the eggs and keep them safe from any harmful environmental conditionsc) to ensure that only a few of the eggs are fertilized by sperm since external fertilization is uncommon and riskyd) to ensure that only some of the eggs are fertilized by sperm so others can be fertilized internally Powell Panther Corporation: Income Statements for Year Ending December 31 (Millions of Dollars) 20192018 Sales$3,220.0$2,800.0 Operating costs excluding depreciation and amortization2,576.02,380.0 EBITDA$644.0$420.0 Depreciation and amortization90.078.0 Earnings before interest and taxes (EBIT)$554.0$342.0 Interest70.861.6 Earnings before taxes (EBT)$483.2$280.4 Taxes (25%)193.3112.2 Net income$289.9$168.2 Common dividends$260.9$134.6 Powell Panther Corporation: Balance Sheets as of December 31 (Millions of Dollars) 20192018 Assets Cash and equivalents$36.0$31.0 Accounts receivable370.0308.0 Inventories678.0616.0 Total current assets$1,084.0$955.0 Net plant and equipment902.0784.0 Total assets$1,986.0$1,739.0 Liabilities and Equity Accounts payable$315.0$252.0 Accruals269.0224.0 Notes payable64.456.0 Total current liabilities$648.4$532.0 Long-term bonds644.0560.0 Total liabilities$1,292.4$1,092.0 Common stock614.2596.6 Retained earnings79.450.4 Common equity$693.6$647.0 Total liabilities and equity$1,986.0$1,739.0 Write out your answers completely. For example, 25 million should be entered as 25,000,000. Round your answers to the nearest dollar, if necessary. Negative values, if any, should be indicated by a minus sign. What was net operating working capital for 2018 and 2019 What aspects of Jacob Riis's photography suggest a danger or menace to middle class American society? What seems to be the character of the menace? How does cultural diffusion and globalization make the world a smaller place?PLEASE HELP ME ASSAP!!!! PLEASE...i really need to do this.. Evaluate28.47% of 637.38cmGive your answer rounded to 2 DP.cm PLs help me on this.......... Re-read this excerpt from the story:Here was I, the white man with his gun, standing in front of the unarmed native crowd seemingly the leading actor of the piece; but in reality I was only an absurd puppet pushed to and fro by the will of those yellow faces behind. I perceived in this moment that when the white man turns tyrant it is his own freedom that he destroys. He becomes a sort of hollow, posing dummy, the conventionalized figure of a sahib. For it is the condition of his rule that he shall spend his life in trying to impress the natives, and so in every crisis he has got to do what the natives expect of him. He wears a mask, and his face grows to fit it.The authors choice to use the bold and underlined words leads the reader to infer that Orwell ________.A. Believes the Burmese are puppetsB. Feels controlled and powerless by his position as sahibC. Feels overwhelmed by chaosD. Is in control of the situation