A roofer leaned a 16-foot ladder against a house. If the base of the ladder is 5 feet from the house, how high up the house does the ladder reach?

Answers

Answer 1

Answer:

15.20feet

Step-by-step explanation:

Length of the ladder = 16foot (hypotenuse)

BAse of the ladder from the house = 5feet (adjacent)

height of the house = x (opposite)

Using the pythagoras theorem

hyp^2 = opp^2 + adj^2

16^2 = 5^2 + opp^2

256 = 25 + opp^2

opp^2 = 256-25

opp^2 = 231

opp =√231

opp = 15.20

Hence the house is 15.20feet high up the house


Related Questions

Given that R= 7x + 7y
Find r when y = 2 and R=8

find x
Give your answer as a fraction in its simplest form.​

Answers

Answer:

Step-by-step explanation:

564/5

Can someone help me find the complete square please?

Answers

Answer:

x= +-6 squareroot 2-10

Step-by-step explanation:

[tex]x=+-6\sqrt{2} -10[/tex]

Can anyone please help me?

Answers

Wait which 1 are yhu answering?

When is subtraction always the first operation done in an expression?

A Never
B When it follows addition in an expression.
C When it is the first operation in an expression, from left to right.
D When it is in parentheses in an expression.

Answers

Answer:

b

Step-by-step explanation:

t

C

The order of operations tells us the correct steps for solving a math problem.
PEMDAS
1. Parentheses
2. Exponents
3. Multiplication
4. Division
5. Addition
6. Subtract
Subtraction is the last step, so if none of the 5 steps before it are in the equation, then that is when you will do subtraction first.

In the U.S., 51% of all births are boys, and 49% are girls. Use the binomial model to find the probability that 6 out of 10 births at a local hospital are boys.

P
(
x
)
=
[
n
!
x
!
(
n

x
)
!
]
p
x
q
n

x
P
x
=
n
!
x
!
n
-
x
!
p
x
q
n
-
x
A.
17%

B.
21%

C.
49%

D.
51%

Answers

Answer: The correct answer is B) 21%

Step-by-step explanation:

This is a binomial model probability problem. We need to find the probability of 6 out of 10 new births at a hospital being boys. The information we need is the number of trials observed, the number of successes and the percentage chance you have of any birth being a boy. The number of trials are 10, with the number of successes being 6 (the number of trials we want to be boys) It states that 51% or 0.51 of all births in the US are boys so we can use this value to determine our answer using our binomial model formula. After simplifying we get our answer of 21% I hope this has been of use to you :)

Have a wonderful rest of your day!

The probability that 6 out of 10 births at a local hospital are boys is 21%, so option B is correct.

What is probability?

The ratio of good outcomes to all possible outcomes of an event is known as probability. A lot of successful results for an experimental with 'n' results can be represented by the symbol x.

Given data:

In the U.S., 51% of all births are boys, and 49% are girls

Calculate the probability by the formula given below,

[tex]P(x) = [n! / {x!(n-x)!}]P^xQ^{n-x}[/tex]

Here x = 6 and n = 10, put the values,

P(x) = [10! / {6!(10-6)!}] × 51⁶ × 49⁽¹⁰⁻⁶⁾

P(x) =  [10! / {6!4!}] × 0.51⁶ × 0.49⁴

P(x) =  210 × 0.0176 × 0.0577

P(x) =  0.21

P(x) =  21 %

Therefore, the probability that 6 out of 10 births at a local hospital are boys is 21%.

To know more about probability:

https://brainly.com/question/743546

#SPJ2

SOMEONE PLEASE HELP ME
I have so much math to do, can someone please help me out by doing this.

Answers

Answer:

1-4

An exponent is the amount of times a number is multiplied by itself

Ex: For number 1, 43 is being multiplied 4 times so it would be 43 to the 4th power (43 with a 4 above, I can't really type it so I apologize)

5-10

You might or might not need a calculator especially for the decimal but you will input the number into the letter "n" and multiply that by itself however many number of times is on the exponent.

Ex: For number 5, n=8 to the 2nd power would be 64 because 8 × 8 = 64

And so on and so forth for the rest of the questions! If you don't understand I would highly recommend asking your teacher or looking up videos because I feel like that would help more than typing it out in words! Good luck though!

1, 172 2, 300 3, x3 4, p5

i will put the rest in the comments

A bag of marbles had 36 yellow marbles and the rest were green. For a game, 32 marbles were chosen from the bag. Of these 32 marbles chosen, 78 were yellow.
Use this information to answer the questions below.

If not enough information is given to answer a question, click on "Not enough information."

Question 1
How many yellow marbles were NOT chosen

Question 2
How many of the bags marbles were NOT chosen

Question 3
How many yellow marbles were chosen

Answers

Answer

Step-by-step explanation:

what method matters?

Answer:

46

Step-by-step explanation:

46+ 32= 78

40+30=70

6+2=8

70+8+78

What is the difference of the polynomials?

Answers

Answer:

[tex]2x^{3} + 2x[/tex]

Step-by-step explanation:

[tex](x^{4} + x^{3} + x^{2} + x) - (x^{4} - x^{3} + x^{2} - x)[/tex] --> Equation

[tex]x^{4} + x^{3} + x^{2} + x - x^{4} + x^{3} - x^{2} + x[/tex] --> Substituted the -1 on the second parentheses to successfully be able to subtract

[tex](x^{4} - x^{4}) + (x^{3} + x^{3}) + (x^{2} - x^{2}) + (x + x)[/tex] --> Combined Like Terms

[tex](0) + (2x^{3}) + (0) + (2x)[/tex] --> Simplified

[tex]2x^{3} + 2x[/tex] --> Simplified

Hope this helped! <3

x^4 + x^3 + x^2 + x - x^4 + x^3 - x^2 + x

the x^4’s cancel out and so do the x^2’s

2x^3 + 2x

hope this helps

6 12 5 7 7 3 9 mean median range

Answers

Answer: Mean:7 Median 7 Range:9

Step-by-step explanation:

Are the following functions linear or nonlinear? Drag the tiles to complete the statements.
Tiles may be used once, more than once, or not at all.

Answers

Answer:

I don't see anything like a graph or anything.

Answer:

Need help

Step-by-step explanation:


10. Peter had a policy with a $250 deductible which paid 80% of his covered charges less deductible. He had medical expenses of $18,240.00. What is the insurance company's payment?
O $14,392
O $14,300
O $250
O $15,000

Answers

Answer:

$14392

Step-by-step explanation:

The insurance company's payment is $14392. which is the correct answer would be an option (A).

What is the percentage?

The percentage is defined as a ratio expressed as a fraction of 100.

The required insurance company's payment is the difference between 80% of medical expenses and 80% of the deductible amount.

According to the given question, the required solution would be as:

The insurance company's payment = 80% of $18,240.00 - 80% of $250

The insurance company's payment = (80/100)18,240.00 - (80/100)250

The insurance company's payment = (0.80)18,240.00 - (0.80)250

The insurance company's payment = 14592 - 200

Apply the subtraction operation,

The insurance company's payment = $14392

Therefore, the insurance company's payment is $14392. which is the correct answer would be an option (A).

Learn more about the percentages here:

brainly.com/question/24159063

#SPJ5

Maximum value of a+b if ab=36 is​

Answers

Answer:

-------------------------------------------------------------------------------

Step-by-step explanation:

Finding the factors of 36 and adding them together to get the greatest sum. 18(2)=36 18+2=20

Anyone mind helping me? 4.5+x=11?

Answers

Move all terms not containing x to the right side of the equation.

x = 6.5

Which of the following values for y makes the inequality True? 3y >12​

Answers

answer:

a value of five or more would make the inequality true

In the mid term test Jesse scored 92%,89% and 90%.What was her main score​

Answers

Answer:

100%

Step-by-step explanation:

Answer:

90.3%

Step-by-step explanation:

I think you have a typo. I'm pretty sure you meant mean score. To find the mean, we add up all the values and divide by the number of values. Let's add 92, 89, and 90. That gets us 271. Now, let's divide 271 by 3. That gets us 90.3. That means Jesse's mean score is 90.3%.

Jordan bikes at a speed of 8 2/3 mph. How many miles will he bike in:

3 hours 6 minutes?

Answers

Answer:

He will bike 26.87 miles.

Step-by-step explanation:

Given:

Jordan bikes at a speed of 8 2/3 mph.

Now, to find the distance he will bike in 3 hours and 6 minutes.

Speed =  

Time = 3 hours and 6 minutes

        =  

As, 60 minutes = 1 hour.

        =

HELP PLEASEEEE IM BEGGING YOU

Answers

Answer:

40

3

9

70

6

7

10

2

42

8

Step-by-step explanation:

let's hope i didn't read naything wrong

Matt paid $450 in interest on a 15 month note for
$5600. Find the rate of interest paid.

Answers

Answer:

The rate is 6.43%

Step-by-step explanation:

Given

[tex]I = 450[/tex] --Interest

[tex]P = 5600[/tex] -- Principal

[tex]T= 15\ months[/tex] --Time

Required

Determine the rate

Using simple interest formula:

[tex]I = PRT[/tex]

Make R the subject

[tex]R = \frac{I}{PT}[/tex]

Convert time to years

[tex]T= 15\ months[/tex]

[tex]T =\frac{15}{12}\ years[/tex]

[tex]T =1.25\ years[/tex]

Substitute values for I, P and T

[tex]R = \frac{450}{5600*1.25}[/tex]

[tex]R = \frac{450}{7000}[/tex]

[tex]R = 0.0643[/tex]

Convert to percentage

[tex]R = 0.0643*100\%[/tex]

[tex]R = 6.43\%[/tex]

Which statement about rational numbers is true?
O All rational numbers are fractions.
O Rational numbers never have repeating decimals.
O Some integers are not rational numbers.
O All fractions containing integers are rational nurnbers.

Answers

Answer:
All fractions containing integers are rational numbers.

Explanation:

Any number that can be written in fraction form is a rational number. This includes integers, terminating decimals, and repeating decimals as well as fractions. An integer can be written as a fraction simply by giving it a denominator of one, so any integer is a rational number

Please help quick!!

Which expression is equivalent to
25?

- 2 + 2 + 2 + 2 + 2

- 5 + 5

- 2 · 2 · 2 · 2 · 2

- 5 · 5

Answers

the last one sorry i thought 5 was negative lol

Answer:

5 · 5

Step-by-step explanation:

2 + 2 + 2 + 2 + 2 = 10

5 + 5 = 10

2 · 2 · 2 · 2 · 2 = 32

5 · 5 = 25

50 points

There are 63 female performers in a dance recital. The ratio of men to women is 4:9. How many men are in the dance recital?

Answers

Answer:

28

Step-by-step explanation:

63/9=7

7*4=28

So can someone just kinda do these

Answers

Answer:

1.) -5/4

2.) 2

3.) 7/3

4.) 4

5.) -6

6.) -1

7.) 5/3

8.) -4

9.) 2

Step-by-step explanation:

this is what i got i hope they are all right

slope formula: (y2 - y1) / (x2 - x1)

A quadratic function models the graph of a parabola. The quadratic functions, y = x2 and y = x2 + 3, are modeled in the graphs of the parabolas shown below. Determine which situations best represent the scenario shown in the graph of the quadratic functions, y = x2 and y = x2 + 3. Select all that apply. From x = -2 to x = 0, the average rate of change for both functions is negative For the quadratic function, y = x2, the coordinate (2, 3) is a solution to the equation of the function. The quadratic function, y = x2 + 3, has an x-intercept at the origin The quadratic function, y = x2, has an x-intercept at the origin From x = -2 to x = 0, the average rate of change for both functions is positive For the quadratic function, y = x2 + 3, the coordinate (2, 7) is a solution to the equation of the function.

Answers

Answer:

Step-by-step explanation:

From x = -2 to x = 0, the average rate of change for both functions is negative

The quadratic function, y = x2, has an x-intercept at the origin

For the quadratic function, y = x2 + 3, the coordinate (2, 7) is a solution to the equation of the function.

those 3 are good

The quadratic function, y = x², has an x-intercept at the origin is, TRUE

And, The quadratic function, y = x² + 3, has an x-intercept at the origin is, FALSE

From x = -2 to x = 0, the average rate of change for both functions is positive is, FALSE

What is mean by Function?

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Now, We have;

When viewing a graph, you start from the left and go to right and from left to right from -2 to 0 the graph is declining.

Hence, From x = -2 to x = 0, the average rate of change for both functions is negative is true.

And, Both are declining if you read the graph from left to right.

For the quadratic function, y = x², the coordinate (2, 3) is a solution to the equation of the function is false.

y = x²

If we insert 2 into y = x² we get y = 4 but our point (2, 3) has y = 3

For the quadratic function, y = x² + 3, the coordinate (2, 7) is a solution to the equation of the function is true.

If we insert 2 for x, we see that;

⇒  y = x² + 3

⇒  y = 2² + 3

⇒  y = 7

And, our y value in the point (2, 7) is 7.

Learn more about the function visit:

https://brainly.com/question/11624077

#SPJ2

wo mountain climbers start their climb at base camp, taking two different routes, one steeper than the other, and arrive at the peak at exactly the same time. Is it necessarily true that, at some point, both climbers increased in altitude at the same rate

Answers

Answer:

It is necessarily true necessary to increase the altitude at same rate

Step-by-step explanation:

According to questions the time take by both the climbers is same where as their distance traveled and velocity is different

Let time taken to complete the journey for both the climbers= t

therefore t = [tex]\frac{d_1}{v_1} = \frac{d_2}{v_2}[/tex]  where

[tex]d_1[/tex] and [tex]d_2[/tex] is the distance traveled by climbers

[tex]v_1[/tex] and [tex]v_2[/tex] is the respective velocity of climbers

So, it is necessarily true necessary to increase the altitude at same rate as the time taken depends on the ratio of their respective altitude with velocity

The two climbers arrived at the top of the mountain at the same time hence both climbers increased in altitude at the same rate.

Mountain climbers are people who ascend mountains. Usually, mountain climbers use steep routes. The altitude covered depends on the rate at which the altitude is increased.

Since the two climbers arrived at the top of the mountain at the same time, it then follows that both climbers increased in altitude at the same rate.

Learn more: https://brainly.com/question/10887629

Evaluate 3x-(5x-1)-3(2x-10)

Answers

Answer:

-8x + 31

Step-by-step explanation:

Hope it helps, have a great day

PLEASE HELP ME I ONLY HAVE 5 MINUTES TO TURN THE WHOLE ASSIGNMENT IN

Answers

Answer: 2

Step-by-step explanation:

Answer:

Im pretty sure the answer is 2. Good luck<3

(a) Write 1.04 x 10as an ordinary number.
(b) Write 0.06 in standard form.
4.62 x 10% tins of beans were sold last year.
These tins of beans cost a total of £300.3 million.
(c)Work out the average cost per tin of beans.​

Answers

Answer: here are your answers, Add 3.45 X 1010 and 2.75 X 108. The first number is the same as 345 X 108. Note how as the decimal point moves, the exponent changes. Adding them, we get 347.75 X 108 or – less accurately – 3.48 X 1010.

Add 4.00 X 1012 and 7.55 X 1012. The answer is 11.55 X 1012 or 1.16 X 10 13.

Step-by-step explanation: here are your answers, Add 3.45 X 1010 and 2.75 X 108. The first number is the same as 345 X 108. Note how as the decimal point moves, the exponent changes. Adding them, we get 347.75 X 108 or – less accurately – 3.48 X 1010.

Add 4.00 X 1012 and 7.55 X 1012. The answer is 11.55 X 1012 or 1.16 X 10 13.


Which property is illustrated by the statement 6 X 4=4 X 6?

Answers

Answer:

Commutative property

Step-by-step explanation:

ill give brailest


Read the excerpt below. Which of the following statements best summarizes the main idea of the excerpt?


In 1944 Elion joined the Burroughs Wellcome Laboratories (now part of GlaxoSmithKline (a company that makes prescription medicines)). There she was first the assistant and then the colleague of Hitchings, with whom she worked for the next four decades. Elion and Hitchings developed an array (variety) of new drugs that were effective against leukemia, autoimmune disorders, urinary-tract infections, gout, malaria, and viral herpes.


Elion believed that new drugs could be developed to help people.


Elion had to work for Hitchings because she was a woman.


Elion worked hard for more than 40 years to earn money for retirement.


Elion and her colleagues were responsible for developing important drugs.

Answers

D Elion and her colleagues were responsible for developing important drugs

Can someone help me please!!

Answers

9514 1404 393

Answer:

  AE = CE = 23; BE = DE = 20

Step-by-step explanation:

Put the values of the variables in their place and do the arithmetic.

  AE = 2u+5 = 2(9) +5 = 23

  BE = 6v-1 = 6(3.5) -1 = 20

  CE = 3u-4 = 3(9) -4 = 23

  DE = 8v-8 = 8(3.5) -8 = 20

The diagonals cross at their midpoints, so the quadrilateral is a parallelogram.

Other Questions
Evaluate x^2 when x= -2help!!-2-424 Had to repost got deleted Fill in the blank.I gatta _____ ___ walk and _____ ___ mouth- Megan thee stallion Which of the following statements contains persuasive language?Discoveryland is a resort amusement park that includes rides, shows, and hotels.Discoveryland offers special packages for families with small children.Discoveryland is home to the world's longest roller coaster, The Boss, which lasts for three minutes and twenty-seven seconds.Discoveryland is a once-in-a-lifetime family experience with thrilling adventures and wonderful discoveries. Lisa is trying to earn some extra money for a cruise she's taking in a few months, so she's made sure to book her days so that she has back to back clients. Today she's scheduled some clients to come in for simple washes and cuts between applying and finishing color treatments for other clients. Lisa plans to clean up at the end of her day to save time. What is the ergonomic issue with this situation? Select the best option. This will make her customers annoyed. She won't have enough time to perform each service. It's against licensing policy to schedule services like this. She will have long periods of holding the same posture. factor: 15a + 5 +20p HELP??????..... Which type of semiconductor is created by doping with atoms that contain more valence electrons than the semiconductor material?A. Intrinsic and p-typeB. Intrinsic C. N-typeD. P-type I realized that this was our own electric light for us to turn on and off as we pleased. I pushed a chair under it and after some instruction from my mother proceeded to create lightning in the room by turning the switch as fast as I could.Barrio Boy,Ernesto Galarza____________________________________________________________________Based on this passage, what is the best inference about Ernesto?1. He is afraid to explore the world around him.2. He is not allowed to explore the world around him.3. He is easily fooled into thinking that electricity is lightning.4. He is excited to explore the world around him. please awnser the photo with the word Need the answer ASAP 10 builders can build a house in 20 days. How many builderswill you need build the house in 10 days? What is true about the Athenians?A They grew poor as a result of Pericles battle strategies B they grew rich as a result of Pericles battle strategies C They grew poor as a result of the Delian leagueD They grew rich as a result of the Delian league Make a 4-by-4 logic grid on your own paper. Use it to help solve the logicpuzzle and answer the question.Kim, Maia, Nia, and Shelley play left wing, center, right wing, and defense onthe hockey team, though not necessarily in that order.When Kim gets the puck, she usually passes it to the left wing or the rightwing.Nia and Shelley are too small to play defense.Maia and Shelley both shoot from the left, so the coach wont let them playright wing.The defense player and Kim are best friends.Who plays left wing?O A. ShelleyO B. KimOC. NiaOD. Maia question 25. there are many early warning signs of stress. Some of these signs are physical, somewhere emotional, and others are behavioral. For the following list, choose A if you believe the a sign and it physical one and B if you believe it is an emotional one.A. physicalB. emotional ReadyPractice Unit Races for Ratios with Fractions - Practice - LevelPorter is on the swim team. In addition to swimming, he runs as part of his training.Porter checks his heart rate halfway through his training session, as shown in the table. help pleaseeeeeeeeeeeeeeeeeeeeeeeeeeeeeee What is the slope and y-intercept of the following equation: f(x) = 2x - 5 Martha and George take turns babysitting. Martha works for 4 hours and George works for 2 hours. They are paid a total of $24.00. How should they divide the money so that each person gets a fair share?Martha =George = Find three consecutive square numbers whose sum is 149(I need the steps) Please help its urgent!!! if a car travels 120 miles in 4 hours. what is its speed per hour