A 24 ft ladder is positioned next to a house for window cleaning. The manufacturer recommends the ladder rest at an angle of 76° with respect to the ground for safe operation. How far away from the house should the ladder be positioned to ensure the recommended angle of 76°? Round your answer to the nearest foot.

A 76 degree angle of elevation is drawn. The line from the horizontal axis to the vertical axis measures 24 units.

Enter your answer in the box.

Answers

Answer 1

Answer:

6 feet

Step-by-step explanation:

cos = adj/hyp

cos76 = adj/24

multiply both sides by 24

24 * cos76 = adj

5.806125494392025 = adj

Rounded

6 feet


Related Questions

Mr. Matthews gives each of his 32 students 15 minutes to
present a book report to the class. How many minutes
will it take for all of his students to present their reports?

Answers

Answer:

480 minutes or 8 hours

Step-by-step explanation:

1 student = 15 minutes

32 students = x

x= 32 students *15 minutes

x=  480 minutes

480 minutes it takes for all of his students to present their reports.

What is Unitary Method?

The unitary technique involves first determining the value of a single unit, followed by the value of the necessary number of units.

For example, Let's say Ram spends 36 Rs. for a dozen (12) bananas.

12 bananas will set you back 36 Rs. 1 banana costs 36 x 12 = 3 Rupees.

As a result, one banana costs three rupees. Let's say we need to calculate the price of 15 bananas.

This may be done as follows: 15 bananas cost 3 rupees each; 15 units cost 45 rupees.

Given:

Total Students= 32

Each student can take = 15 minutes.

So, time taken by 32 students

= 32 x 15

= 480 minutes.

Hence, students take 480 minutes to complete the report.

Learn more about Unitary Method here:

https://brainly.com/question/22056199

#SPJ2

A copy machine makes 84 copies in 3 minutes and 30 seconds, how many copies does it make per minute.

Answers

Answer:

24

Step-by-step explanation:

3 minutes and 30 seconds = 3.5 minutes

84/3.5 = 24copies/minute

24 copies per minute

A shirt costs $98.
It is 20% off
What is the amount
I will save ?

Answers

Answer:

$19.60 would be saved (off full price)

Step-by-step explanation:

The discount (savings) would be 0.20($98), or $19.60.

please helppppp. geometry hw !!

Answers

Answer:

2/20

I guess..? it's too obvious

Step-by-step explanation:

What is
6+√36
pleaseeeee

Answers

Answer:

The answer is 12

Step-by-step explanation:

6+the root of 36 =12

What is 103% of 127?

Answers

Answer:

130.81

Step-by-step explanation:

127 ⋅ ( 103/ 100 ) =130.81

What is the degree of the equation?

What is the Leading Coefficient the equation ?

Solve using the Quadratic Equation.

5x2 - 3X -8=0

Answers

Answer:

Degree: x= -1, [tex]\frac{8}{5}[/tex]

leading coefficient: 5

Step-by-step explanation:

hope this helps!!!

Answer is your looking for is :
D

Evaluate 14 + (44+ 7) + 4^3*
HELP ME ASAP
NO LINKS OR FILES

Answers

Answer:

129

Step-by-step explanation:

44+7=51

4^3=64

14+51+64=129

Find the value that makes the proportion true

5/6= ?/180

Answers

Answer:

D, or 150

Step-by-step explanation:

We can see that we have to multiply 6 by 30 to get 180. So, if we multiply the denominator by this and we want an equal fraction, we can multiply 5 by 30 to get [tex]5\cdot30=150[/tex].

Answer/Step-by-step explanation:

I think its "D. 150"!

-Hope this helped, Comment if you have any other questions!

Sameer chose 12 different toppings for his frozen yogurt sundae, which was Three-fourths of the total number of different toppings available at the make-your-own sundae shop

Answers

Answer:

You have 16 different toppings

Step-by-step explanation:

Given

[tex]Sameer = 12[/tex]

Required

How many topping at your sundae shop

From the question, we understand that Sameer's is3/4 of your toppings

Mathematically, this is:

[tex]Sameer = \frac{3}{4} * Y[/tex]

Where

Y represents You

Make Y the subject

[tex]Y = \frac{4}{3} * Sameer[/tex]

Substitute 12 for Sameer

[tex]Y = \frac{4}{3} * 12[/tex]

[tex]Y = 4 * 4[/tex]

[tex]Y = 16[/tex]

(a) 14x - 3x + 16 = 7(x - 4)

Solve the linear equation

Answers

Answer:

x=-11

Step-by-step explanation:

14x-3x+16=7(x-4)

Distribute

14x-3x+16= 7(x) + 7(-4)

14x-3x+16=7x-28

Combine Like Terms

11x+16=7x-28

Combine like terms

4x+16=-28

Combine like terms

4x=-44

Isolate x

x=-44/4

Simplify

x=-11

If this helps please mark as brainliest

Beth has a box containing music CDs. Each CD contains songs from only one of these three genres: pop (P), hip-hop (H), and rock (R). She picks one CD from the box, replaces it, and then picks another CD. The sample space for this event is listed.

P-P H-P R-P
P-H H-H R-H
P-R R-R


What is the missing term for this compound event? What is the sample size?

A.
The missing term is H-P, and the sample size is 9.
B.
The missing term is H-R, and the sample size is 9.
C.
The missing term is H-P, and the sample size is 3.
D.
The missing term is H-R, and the sample size is 3.

Answers

Answer:

B). The missing term is H-R, and the sample size is 9.

Step-by-step explanation:

Compound event is characterized as the likelihood of occurring two autonomous events at least one or more than one probable outcome.

As per the details provided, 'the term that is omitted in the given event of the compound would be (H-R) and the size of the sample would be 9(' including this missing one. The eight combination possibilities of the CDs have already been provided and thus, the last one would be 'H-R'(hip-hop and rock music CDs). This is why the total number of possibilities turns 9. Thus, option B is the correct answer.

Answer:  the answer is B :)

Step-by-step explanation:

Which of the following is a geometric sequence? *
O -1, -3,9,27,...
0 -1,2 -4,8....
O 1,4,9,16,...
O 1,3,5,7,...

Answers

I think the answer is D

the volume of the cone shown below is 108pie cm^3. What is the value of H?
Use V=1/3PIE r^2 for the volume of a cone

Answers

Answer:

h = 4cm

Step-by-step explanation:

Diameter = 18cm

Radius = Diameter/2 = 18/2 = 9cm

V = 1/3*pi*r^2*h

We know that the volume is 108pi cm^3. We can just plug in 108pi cm^3 for V and we also know that our Radius (r) is 2.

So,

108 pi = 1/3*pi*9^2*h

108 pi = (81pi*h)/3

multiply 3 from both side

108pi*3 = (81pi*h)/3 *3

324pi = 81pi*h

Now divide the 81pi from both side

324pi/81pi = (81pi*h)/81pi

4 = h

So the height is 4cm

Answer:

h = 4cm

Step-by-step explanation:

Diameter = 18cm

Radius = Diameter/2 = 18/2 = 9cm

V = 1/3*pi*r^2*h

We know that the volume is 108pi cm^3. We can just plug in 108pi cm^3 for V and we also know that our Radius (r) is 2.

So,

108 pi = 1/3*pi*9^2*h

108 pi = (81pi*h)/3

multiply 3 from both side

108pi*3 = (81pi*h)/3 *3

324pi = 81pi*h

Now divide the 81pi from both side

324pi/81pi = (81pi*h)/81pi

4 = h

So the height is 4cm

Researchers are studying the distribution of subscribers to a certain streaming service in different populations. From a random sample of 200 people in City C, 34 were found to subscribe to the streaming service. From a random sample of 200 people in City K, 54 were found to subscribe to the streaming service. Assuming all conditions for inference are met, which of the following is a 90% confidence interval for the difference in population proportions (City C minus City K) who subscribe to the streaming service?
A. (0.17 – 0.27) + or - 1.65 underroot 0.17/200 + 0.27/200.
B. 0.17 – 0.27) + or -1.96 underroot (0.17)(0.83) + (0.27)(0.73)/400
C. 0.17 – 0.27) + or - 1.65 underroot (0.17)(0.83) + (0.27)(0.73)/400
D. (0.17 – 0.27) + or - 1.96 underroot (0.17)(0.83) + (0.27)(0.73)/200
E. (0.17 – 0.27) + or - 1.65 underroot (0.17)(0.83) + 0.27)(0.73)/200

Answers

Answer:

[tex](0.17 - 0.27) \pm 1.65\sqrt{\frac{0.17*0.83 + 0.27*0.73}{200}}[/tex], that is, option C

Step-by-step explanation:

From a random sample of 200 people in City C, 34 were found to subscribe to the streaming service. From a random sample of 200 people in City K, 54 were found to subscribe to the streaming service.

This means that the proportions are:

[tex]p_C = \frac{34}{200} = 0.17[/tex]

[tex]p_K = \frac{54}{200} = 0.27[/tex]

Subtraction of proportions:

In the confidence interval, we subtract the proportions. So:

[tex]p = p_C - p_K = 0.17 - 0.27[/tex]

In a sample with a number n of people surveyed with a probability of a success of [tex]\pi[/tex], and a confidence level of [tex]1-\alpha[/tex], we have the following confidence interval of proportions.

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

In which

z is the zscore that has a pvalue of [tex]1 - \frac{\alpha}{2}[/tex].

Standard error:

For a subtraction, as the standard deviation of the distribution is the square root of the sum of the variances, we have that:

[tex]\sqrt{\frac{\pi(1-\pi)}{n}} = \sqrt{\frac{0.17*0.83 + 0.27*0.73}{200}}[/tex]

90% confidence level

So [tex]\alpha = 0.1[/tex], z is the value of Z that has a pvalue of [tex]1 - \frac{0.1}{2} = 0.95[/tex], so [tex]Z = 1.645[/tex].

So the confidence interval is:

[tex](0.17 - 0.27) \pm 1.65\sqrt{\frac{0.17*0.83 + 0.27*0.73}{200}}[/tex], that is, option C

100 pts

Read the following email:


Dear Dr. Jones,
Our pharmaceutical company now received 47 complaints about the new pain reliever NoPain, created in your lab. Of the 47 complaints, 24 said their headache got worse, 15 said they had severe cramping after taking the medication, and 8 said they had both problems. We have only been distributing this pain reliever for about 30 days and we are very
concerned. It has cost our company roughly 1.2 million dollars to create the drug and we have recorded sales of $98,600 in the past month at $10 a bottle, so that is 9,860 bottles. Should we be concerned? Do you think we should pull the product and conduct more
research? We may end up losing money on this if we pursue this course of action. Should we keep the product on the shelves and secretly do more research? Or should we just do nothing for the time being, wait it out, and see what happens? Please get back to us as soon as possible with your recommendation.


Thank you,
Jane Smith
Head of Customer Relations



Using your basic mathematical skills, calculate how long it will take the pharmaceutical
company to earn back the amount that it had invested, if it continues to sell the product at the
current selling rate.

Answers

It will be way more than $98,600 because if it’s harmful to people, people will want their money back and if the people know that the company is selling these prescription pills knowing the side effects but not telling anyone, they will get sued as well. Probably we’re talking in the millions they will lose.

Find the value of the expression.

[(3/5)0]-2

the value is [___]​

Answers

Answer:

1

Step-by-step explanation:

Any number to the power of zero is 1You can flip[tex] {1}^{ - 2} [/tex]to [tex] \frac{1}{ {1}^{2} } [/tex] which is 1

Which graph represents the solution?​

Answers

Answer:

A

Step-by-step explanation:

Given the inequality :

v + 4 > 2 and 8v - 20 < 36

v + 4 > 2

v > 2 - 4

V > - 2

8v - 20 < 36

8v < 36 + 20

8v < 56

v < 56/8

v < 7

Hence,

v > - 2 and v < 7

-2 < v < 7


2. Celesta used to spend 90 minutes a day on the phone. Now she spends
60 minutes a day. What is the PERCENT DECREASE? *

Answers

Answer:

33%

Step-by-step explanation:

sorry my bad i did percentage increase.

find 5-(-7)=5+7 simplify

Answers

Answer:

You already did the question.

Step-by-step explanation:

What's there to simplify?

5+7 = 5+7

It's just recursive.

Answer:

12 = 12

Step-by-step explanation:

5 - (-7) = 5 + 7

5 + 7 = 5 + 7

12 = 12

ILL GIVE BRAINLEST, please show work :)

Answers

4.2*8.5
35.7 would be your answer

Answer:

the answer would be 35.7 the reason why is because your multiplying the width by its heigh  

Step-by-step explanation:

4.2x8.5=35.7

Select the FALSE statement regarding the relationship between sampling error and sample size. a.) As a sample size decreases, the standard deviation increases. b.) An estimate becomes more accurate as you increase the sample size. c.) You can resolve poor data collection by increasing the sample size. d.) Increasing the sample size will decrease the sampling error.

Answers

Answer:

Option C

Step-by-step explanation:

The standard deviation of any sample is inversely proportional to the size of the sample. Thus, as the sample size increases, the standard deviation reduces or vice versa. Thus, option A is in correct

As the sample size increases, the confidence in estimate also increases Hence, option B is also incorrect

Option D is true to its words , hence it is also a wrong choice for this question

Hence, option C is correct

Answer:

You can resolve poor data collection by increasing the sample size

Step-by-step explanation:

please help me i really need this

Answers

Answer:

1. pi or π

2. 7,234.6

3. 26.4

4. 94.2

hope it helped :)

Step-by-step explanation:

In the figure to the right, what is the measure of angle DAC ?

I’m not going to show answer Options because I don’t want anyone to put something random

Don’t put links cs I’m not going to press it <3

Answers

Answer:

47 degrees

Step-by-step explanation:

i am super smart

help me on this please !

Answers

Answer:

24.08

Step-by-step explanation:

We use the Pythagorean theorem and we get (16)^2 + (18)^2 = (x)^2

256 + 324 = x^2

x^2 = 580

x is about 24.08.

Two of the statements are true; one is a lie.

Select the one that is a lie.
Then explain your reasoning.

∠GAF ≌ ∠TAE.
∠TAE and ∠FAH are complementary.
∠TAF is obtuse.

Answers

Answer:

∠GAF ≌ ∠TAE is lie

Step-by-step explanation:

∠GAF ≌ ∠TAE is lie

both are not push back angles.

If tan theta = 7/2 and 0

Answers

Answer:

[tex]\theta= 74.05^{o} (2dp),\\\theta= 0^{o}.\\[/tex]

Step-by-step explanation:

[tex]tan \theta=\frac{7}{2}, \\\theta= tan^{-1}(\frac{7}{2}) = 74.05^{o} (2dp),\\\theta= tan^{-1}(0) = 0^{o},\\[/tex]

A medical website states that 40% of U.S. adults are registered organ donors. A researcher believes that the proportion is too high and wants to test to see if it is lower. She selects a random sample of 200 adults and finds that 74 of them are registered organ donors. Perform the hypothesis test at the 0.05 level. Compute the P-value and state a conclusion. Question 21 options: There is not enough evidence to conclude that the proportion of registered organ donors is not less than 40%. There is not enough evidence to conclude that the proportion of registered organ donors is less than 40%. P-value

Answers

Answer:

Pvalue = 0.193

There is not enough evidence to conclude that the proportion of registered organ donors is less than 40%

Step-by-step explanation:

H0 : p = 0.4

H1 : p < 0.4

Test statistic :

z=pˆ−p/√p(1−p)/n

pˆ = 74 / 200 = 0.37

Z = (0.37 - 0.40) / √(0.40(1 - 0.40) / 200

Z = - 0.03 / √0.0012

Z = - 0.03 / 0.0346410

Z = - 0.866

Test statistic = -0.866

The Pvalue :

P(Z < -0.866) = 0.193

α - level = 0.05

If Pvalue < α ; Reject H0

Since Pvalue > α ; There is not enough evidence to conclude that the proportion of registered organ donors is less than 40%

-5 3/4 - 3 1/2 =?

A)2 1/4
B)-9 1/4
C)-2 1/4
D)-8 2/3

Answers

Answer:

-9 1/4

Step-by-step explanation:

-5 3/4 - 3 1/2

Get a common denominator

-5 3/4  - 3 1/2 *2/2

-5 3/4  - 3 2/4

-8  5/4

Rewritng

-8 4/4 - 1/4

-9 1/4

Pls help 10 ptsss
NO LINKS

Answers

Answer:

0,15/ 5,20/ 10,25/ 15,30/ 25,35

Step-by-step explanation:

the additional hours is x and total hours is y.

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