A 12ft. tall ladder is leaning against a building. If the bottom of the ladder is 3ft. from the base of the building how high up the side of the building does the ladder reach? Put your answer in the box. Round your answer to the nearest whole number.

Answers

Answer 1

Step-by-step explanation: The Pythagorean theorem states that, in a right triangle, the length of the hypotenuse squared equals the sum of the squares of the other two sides or legs of the triangle.  Algebraically, a2+b2=c2.  In your example, the length of the ladder would be the hypotenuse and the distance from the wall would be one of the legs.  So substitute these values into the equation to get: 32+b2=122 or 9+b2=144 and then subtract 9 from both sides to get b2=135.  Therefore b=√135≈11.62.  If your problem requires an exact answer in its most simplified form, please note that √135=3√15.  Hope this helps you


Related Questions

With a coupon, you can get a pair of shoes that normally costs $84 for only $72. What percentage was the discount?

Answers

Answer:

57

Step-by-step explanation:

please help me on my math please i dont wanna fail

Answers

Answer:

5. 78.54

6. C

7. 254.47

8. 50.25

Step-by-step explanation: :) Remember, the radius is just half of the diameter. So if the Diameter is 18, the radius is 9.

PLEASE HELP ASAP
Sorry if it’s hard to read but I have to turn this in in a few minutes and I don’t get it, you have have to sort them in 5 different piles

Answers

Answer:

If it goes through the orgin

Step-by-step explanation:

Stefan has a balance of $6.50 in his savings account and deposits $1.25 each week. Write an inequality that represents x, the number of weeks Stefan must deposit $1.25 in order to have a balance of more than $50 in his savings account.

Answers

6.50+(1.25x)= 50
hope this helped

pls answer the question

Answers

the answer is 30!! have a good day

Which set of number shows a proportional relationship?

Answers

Answer:

D

Step-by-step explanation:

The answer is D because they are proportional

Can someone help me out? (serious answers only)

Answers

The answer is D -60.

Answer:

40

Step-by-step explanation:

Good Luck

help answer all these pls

if so u get brainlyest
PLS HURRY

Answers

need more than 5 points for all that wth
first one is D second is B i think

Which equation has a constant of proportionality equal to 7?
A. 4y = 28x
B. 7y = 28x
C. 28y = 4x
D. 28y = 7x

Answers

A is correct.

Reasoning: 4 x 7 = 28


good luck!

The solution is Option A.

The equation which has a constant of proportionality k = 7 is 4y = 28x

What is Proportion?

The proportion formula is used to depict if two ratios or fractions are equal. The proportion formula can be given as a: b::c : d = a/b = c/d where a and d are the extreme terms and b and c are the mean terms.

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Given data ,

Let the equation be represented as A

Now , the value of A is

The proportional equation is given as y ∝ x

And , y = kx where k is the proportionality constant

Now , the equation is

4y = 28x

On simplifying the equation , we get

Divide by 4 on both sides of the equation , we get

y = 28x/4

y = 7x

y = 7x is of the form y = kx where the value of k is 7

Therefore,  the value of k is 7

Hence , the value of proportionality constant is 7

To learn more about proportion click :

https://brainly.com/question/7096655

#SPJ2

a linear function contains the following points.
what are the slope and y-intercept of this function?

Answers

Answer:

B

Step-by-step explanation:

the slope is -3

the slope is -3 so it would be B

Need help ASAP!! I Can give brainlist for the first right person.

Answers

Answer:

Step-by-step explanation:

1. 720,000

2. 119.50

3. 17.68

4. $75

5. 77.74

I'LL GIVE BRAINLIEST

A or D

Answers

a, bc i took the test on edge 6 years ago

Answer:

d

Step-by-step explanation:

Help with question, best answer gets brainliest

Answers

Answer:

I think B

Step-by-step explanation:

Matthew has lived in NY for 10 years. Matthew earns $17.25 per
hour. He worked 5.8 hours on Friday, 4.5 hours on Saturday, and 8
hours on Sunday. How much money did Matthew earn in all on Friday,
Saturday, and Sunday?

Answers

Answer:18.3

Step-by-step explanation: 18.3 because 5.8 + 4.5 =10.3 then add 8 its 18.3

Answer:

$315.68

Step-by-step explanation:

We would first add up all of the hours, so that would be 5.8+4.5+8 to get 18.3 hours. Since it is saying $17.25 per hour we would multiply 17.25 and 18.3 to get 315.675. But, because we are dealing with money, our answer would be rounded to the nearest hundredth. So, Mathew earned $315.68 on Friday, Saturday, and Sunday altogether.

Elspeth knows that Pi times r almost-equals 9.42 centimeters. What would she need to do to find the circumference?
She could multiply 9.42 by 2.
She could multiply 9.42 by Pi.
She could divide 9.42 by 2 to find the radius, and then square the radius.
She could divide 9.42 by Pi to find the radius, and then multiply 9.42 by the radius.

Answers

Answer:

First one

Step-by-step explanation:

It will be the first one

Austin correctly answered 92% of the questions on a geography quiz. Liz answered 47 of the 50 questions correctly. Which student got the most questions correctly.
(if you answer this may you please show your work)

Answers

Answer: Liz
To find the percent Liz got correct, you would do 47/50 to get 0.94. You would then move the decimal 2 places to get 94%.
94%>92%

Answer:liz scored better

Step-by-step explanation:

Liz scored better because how to find a percentage is dividing whatever two numbers you have by each other so it would be 47 / 50 which equals 0.94 then you times it by 100. Which would equal 94% which is better than a 92 which means Liz got the higher score

(Compound) Probability: Rolling a die and getting a number other than 4 twice in a row. Pls help :'D

Answers

Answer: 1/36

Step-by-step explanation:

you get 1/6 for the chance of getting the nunmber, and 1/6X1/6=1/36

1/36
Hope this helps:)

Please help me I will give you the brain thing and extra points please hurry tho.

Answers

Answer:

I would recommend the website symbolab.com it really helps

Step-by-step explanation:

Answer:

<A = 115 degrees, <C = 50 degrees

Step-by-step explanation:

<A+<B+<C = 180 degrees

substitute with the given values: 4x - 13 + 15 + x + 18 = 180 degrees

Solve: x = 32 degrees

Substitute back in for <A : 4(32) - 13 = 115 degrees

Substitute back in for <C: 32 + 18 = 50 degrees

Last Week, Angus studied for 6 1/3 hours. This week. he plans to study 1/2 as much as he studied last week. How many hours does Angus plan to study this week?​

Answers

Answer:

3 1/6

Step-by-step explanation: I multiplied 6 1/3 and 1/2 together and I got 19/6

19/6 is an improper fraction so you would divide 19 divided by 6 would give you 3 1/6!

it would be 3 1/6 cause i solved it and got that

Please help me I have to turn this in by 5:00 I will give you the brain thing and extra points. 1/5

Answers

Answer:

answer is D of course

Step-by-step explanation:

the sum of exterior angle in any polygon is 360°, all the answers above is less than 360°, it's not complicated that much

The answer is D, hope this helps

PLS HELP ASAP 30 POINTS

Answers

Theoretical probability=45%
Experimental probability=75%

find the slope of the line. y = 5/3x + 4

Answers

Answer:

slope= 5/3

Step-by-step explanation:

y=mx+b

slope=m

your welcome

A : slope is 5/3 hope this help

Simplify the expression.
–2.5(1 – 2n) – 1.5n

Answers

Answer:

9.5n - 2.5

Step-by-step explanation:

-2.5(1 - 2n) - 1.5n

distribute the -2.5 into the ( )

-2.5 + 10n - 1.5n

combine like terms

-2.5 + 9.5n

9.5n - 2.5

Hope this Helps!!!

Explain how (-3) - 5 is equal to -8

Answers

Answer:

You do -3- 5=-8

Step-by-step explanation:

You do -3- 5=-8

Its just like 3+5=8

But it is in negative so it would be negative 8. But this only works in addition and subtraction. In division and multiplication it is different.

Answer:

It is equal to -8 cuz...

Step-by-step explanation:

(-3) - 5 is -8 how it's cuz a negative number minus a positive number it's gonna be a negative number.

but if a positive number minus a negative number it's gonna be a positive number.

and a negative number minus a negative number it's gonna be a positive number.

Hope this helps....

can be brainiest...

Find the scale factor that was used in the dilation shown.

Answers

1.5 is the answer, hoped that helped

The scale factor that was used in the dilation could be 1.5 units.

What is scale factor?

Suppose a figure (pre image) is dilated (dilated image) by scale factor of k. So, if a side of the figure is of length L units, and that of its similar figure is of M units, then:

L = k × M

where 'k' will be called as scale factor.

The quantities that are squares or multiple of linear things twice grow by square of scale factor.

So area of first figure = k² × area of second figure

Similarly,

The Volume of first figure = k³ × volume of second figure.

Since the scaling is done by product of some constant, that constant is called scale factor.

Then we have:

K = 4/6

K = 2/3

K = 1.5 units.

Thus, scale factor is the ratio of the new measurement to the old measurement therefore, the scale factor that was used in the dilation could be 1.5 units.

Learn more about dilation here:

https://brainly.com/question/27212783

#SPJ5

HELP! Basic Algebra....need help quick

6(c+5) - 2c= 56-9c What is c

-1/2x + 6x - 2 = 20 What is x

Answers

Answer:

c=2 and is that a fraction or is it division?

Step-by-step explanation:

i dont know how to explain

for the first one, c=2. for the second one, x=4. hope this helped! mark brainliest?

Nine grapefruits cost $4. Use the ratio table to determine how many grapefruits can be bought for $20.

Answers

Answer:

D. 45

_________

I need help somebody please help me i'm trying to pass my classes. & take care of my mom please help me.

Answers

it is 3 you’re welcome

Please help me I'm trying to get this done and can you please explain it!

Answers

i’m guessing it’s D because it just stops on the y-axis and if it was symmetrical then it wouldn’t be a function at all

What is "four thousand, seven hundred two" in standard form?

Answers

Answer:

the answer is 4,702

Step-by-step explanation:

if you didn't know standard form is letter basically written into numbers so what it means by  "four thousand, seven hundred two" in standard form it wants you write it in number form there is a better way to explain this but im in a little rush

Other Questions
Look at the list of Renata's family members and their birthdays. Then, choose the sentence that makes sense for their birthday in the year 2020.Persona: el abuelo de RenataDa del cumpleaos: 11 de marzo de 1957Question 10 options:El abuelo de Renata es mayor que Renata.El abuelo de Renata tiene cuarenta aos.El abuelo de Renata tiene cuatro aos.El abuelo de Renata tiene cincuenta aos. simplify -4x + 2y + z - 3x + 2y - 2z Which herdsman agrees to fight with Odysseus to kill the suitors?A. EumeausB. TelemachusB.ScyllaC.Philoetius This is your main source of energy; it can be simple or complex. Create a flowchart that assigns a counselor to a student. You need to ask a student for the first letter of his/her last name. Assign a counselor based on the following criteria:A through M are assigned to Ms. JonesN through Z are assigned to Mr. Sanchez help me plz for 20 points Advertising is an example of Directive Culture: True or False 3Type the correct answer in the box. Spell all words correctly.What term refers to the gases and vapors, particulate materials, gunpowder, and metallic chips that explode from the gaps of a weapon whenfired?Gunshotexplodes from the gaps of a weapon when it is fired.ResetNext True or False. The arrow labeled C represents a transfer of chemical energy to mechanical energy. Explain why this is true or false. What is the value of f if 9f+11=3f+23 Where are most of the countries in the European Union located? How do we decide the difference between what is scary and what is not? A. And they loved her as they had never before loved her. ( Paragraph 15) B. how strongly they had been attached to her ( Paragraph 15) C. She had been their mainstay, their guide ( Paragraph 16) D. They would henceforth be solitary, isolated ( Paragraph 16) Please help!!! I only need the first !! Carter has a fruit stand. In the morning, he has 25 1/2 pounds of peaches. He sells bags of peaches that each weigh 1 1/2 pounds. He will restock when he has less than 3 pounds of peaches left. Which solution represents how many bas of peaches, b, Carter will sell before he restocks? what are some factors that spark a revolution? Newton's law of cooling states that the temperature of an object changes at a rate proportional to the difference between its temperature and that of its surroundings. Suppose that the temperature of a cup of coffee obeys Newton's law of cooling. If the coffee has a temperature of 205 degrees Fahrenheit when freshly poured, and 2.5 minutes later has cooled to 195 degrees in a room at 70 degrees, determine when the coffee reaches a temperature of 160 degrees. You apply the{Select)operation[ Select ]-for multiplication equations and[ Select ]for division equations-to[ Select ]of the equation. I need help i don't understand PLEASE HELP ME, 20 POINTSHow many atoms are in 25.00 g of Li.Question 1 options:2.393 x 1024 atoms of Li1.333 x 1023 atoms of Li2.16 x 1026 atoms of Li2.17 x 1024 atoms of LiHow many grams is 2.393 x 1024 atoms of ClQuestion 2 options:70.45 g Cl140.9 g Cl140.9 mole Cl70.45 mole ClHow many atoms are in 25.00 g of B.Question 3 options:1.393 x 1024 atoms of B1.333 x 1023 atoms of B2.16 x 1026 atoms of B2.17 x 1024 atoms of BHow many grams is 2.393 x 1024 atoms of OQuestion 4 options:70.45 g O140.9 g O63.58 mole O63.58 g O