A ladder is leaning against the side of a building and positioned such that the base of the ladder is 17 ft from the base of the building. If the
ladder reaches 23 ft above the ground, how long is the ladder. Round your answer to the nearest tenth

Answers

Answer 1

Answer:

The ladder is 28.6 feet long.

Step-by-step explanation:

Given that:

Length of base = 17 feet

Length above the ground = 23 feet

These forms two legs of right angled triangle.

The length of ladder will be the hypotenuse.

Using Pythagorean theorem;

[tex]a^2+b^2=c^2\\(17)^2 + (23)^2 = c^2 \\289 + 529 = c^2 \\c^2 = 818[/tex]

Taking square root on both sides

[tex]\sqrt{c^2}=\sqrt{818}\\c=28.6[/tex]

Hence,

The ladder is 28.6 feet long.


Related Questions

someone please do this and explain in detail of how you get x.

Answers

Answer:

x=8

AC=148

Step-by-step explanation:

Okay so if B is the midpoint of AC, that basically means that it's the halfway point. If B is exactly halfway between A and C, that means that the distance between A and B, and the distance between B and C is the same. In other words: AB=BC

Knowing that AB=BC, we can sub the values given by the question:

AB = BC

9x+2 = 5x+34

9x-5x = 34-2

4x = 32

x = 8

Now that we know the value of x, we can find AC, since AC=AB+BC

AC = AB + BC

= 9x+2 + 5x+34

= 14x+36

= 14(8)+36

=112+36

=148

PLS I HAVE 10 min TO FINISH I NEED HELP WITH MATH

Answers

Answer:

B is the answer

Step-by-step explanation:

I worked it out

Steven earns extra money babysitting. He charges $37.00 for 4 hours and $55.50 for 6 hours. Enter an equation to represent the relationship. Let x represent the number of hours Steven babysits and y represent the amount he charges.

Answers

37+4x=55.50+6x....zzz

Answer:

Step-by-step explanation:

3.2

Click an item in the list or group of pictures at the bottom of the problem and, holding the button down, drag it into the correct position in the answer box. Release your mouse button when the item is place. If you change your mind, drag the item to the trashcan. Click the trashcan to clear all your answers.
Place the indicated product in the proper location on the grid.

(2x - 3y )(4x - y )

Answers

xy - -4x²

Step-by-step explanation:

(2x - 3y)(4x -y)

2x( 4x -y) -3x( 4x - y)

8x² - 2xy - 12x² + 3xy

8x²- 12x²- 2xy + 3xy

-4x² + xy

xy - -4x²

The total cost of 3 bags of chips and 4 jars of salsa at a
store is $11.25. The cost of each bag of chips is $2.75.
Write an equation that can be used to determine the cost
,
X, of 1 jar of salsa.

Answers

Answer: 2.75(3) + 4x = 11.25

Step-by-step explanation:

It says each bag costs $2.75 and there are 3 bags so multiply those 2 and then subtract them from the total cost (11). What you get after you subtract is the total costs of the salsa so divide that by 4 to get the cost of each, in this case it doesn't ask so we leave it as 4x.

the average motorcycle weighs 32,000 grams. How many kilograms does the average motorcycle weigh?

Answers

Answer:

The average motorcycle would weigh 32 kilograms.

Step-by-step explanation:

1 kilogram = 1000 grams

so, to find how many kilograms a motorcycle is, we just need to divide the amount of grams by 1000

32,000 / 1000 = 32 kg

please give the right answer and help, i’ll give brainliest❤️

Answers

Answer:

3:4

Step-by-step explanation:

Answer:

9 to 8

Step-by-step explanation:

True of False? The line of best fit can only represent data that has a linear association?

Answers

Answer:

True

Step-by-step explanation:

For some reason i feel like im a black belt fighter and a martial arts master

Answers

Answer:

Good for you!

Step-by-step explanation:

look its you and your friends!

Answer:

I used to do martial arts ʕ•ᴥ•ʔ

Step-by-step explanation:

There are 6 belt colors: white belt, orange belt, blue belt, yellow belt, green belt, brown belt, and black belt. All belts besides the white belt can have dashes to indicate further progress. Black is the most powerful, showing the power of FIGHT ! Here is a summary of the different karate belts.

The fairs train ride covers a distance of 3 miles in 20 minutes what is the speed for the ride in miles per hour?

Answers

Answer:

20/60=1/3

R= d/t

R=3/ [tex]1/3[/tex]

R=9

Step-by-step explanation:

13
5
ө
12
What is the length of the side opposite to angle θ

Answers

Answer: Sin θ =

Step-by-step explanation:

In the figure attached, ABC is a right angle triangle.

Sides of this triangle are AB = 12 BC = 5 and CA = 13

Angle opposite to the side having length = 12 is θ.

Now we have to calculate sin θ.

Since Sinθ =

=

Therefore, ratio which represents sinθ will be

Step-by-step explanation:

A state Motor Vehicle Department requires learners to pass a written test on the motor vehicle laws of the state. The exam consists of twenty true-or-false questions, of which eighteen must be answered correctly to qualify for a permit. In how many different ways can a learner who answers all the questions on the exam qualify for a permit

Answers

Answer:

211 ways

Step-by-step explanation:

Given :

Number of questions = 20

Number of correct correct questions to be answered in other to qualify should be atleast 18

Hence,

Correct questions could be either 18, 19 or 20 ;

Using combination :

nCr = n! ÷ (n-r)!r!

20C18 = 20! / (20 - 18)!18!

20C18 = (20* 19) / (2 * 1) = 190 ways

20C19 = 20! / (20-19)!19!

20C19 = 20 / 1 = 20 ways

20C20 = 20! / 0! 20! = 1 ways

Hence, total number of possible ways = (190 + 20 + 1) = 211 ways

if x is the first of two consecutive integers, express the sum of the two integers in terms of x

Answers

Answer:

2x+1

Step-by-step explanation:

x = 1st integer

x+1 = next consecutive integer

The sum is

x+ (x+1)

Combine like terms

2x+1

let the first integer be x and the second be x + 2

then the sum is x +x+2 = 2x +2

Lydia is buying a ring.
The ring costs £60
She pays a deposit of 40%.
Work out how much she pays as the deposit.

Answers

Answer: I believe it's £24

Step-by-step explanation: I suck at math so sorry if it's wrong.

Suppose that a bike for $12 plus $ 1.60 per hour. What is the slope ?

Answers

Answer:

Slope = 1.60

Step-by-step explanation:

y = 1.60x + 12

$12 - This would be the y-intercept

$1.60 - slope since it is the amount needed to pay each hour.

Hope this helps!

The stock market dropped 220 points on Monday. It lost another 48 points on Tuesday, and on Wednesday, it gained 96 points. What was the amount of change over those three days.

Answers

48 points gained in those 3 days.

Subtract 220 with 48, then add 96. Last step would be subtracting 220 with the amount they have now in those 3 days to find how much points the stock market gained in those 3 days.

Subtract 220-48.It‘ll be 172.

Add 172 with 96. 172+96=268.

Subtract 268 with how much points the stock market had 3 days ago. 268-220 would be 48.

The amount of change over those three days is 268 points.

Here,

The stock market dropped 220 points on Monday.

It lost another 48 points on Tuesday, and on Wednesday, it gained 96 points.

We have to find,  the amount of change over those three days.

What is amount?

The sum total of two or more quantities or sums, is called amount.

Now,

The stock market dropped 220 points on Monday.

It lost another 48 points on Tuesday.

Hence, the points after loss = 220 - 48 = 172

And, when it gained 96 points.

Then, the points after gain = 172 + 96 = 268

Hence, The amount of change over those three days is 268 points.

Learn more about the amount visit:

https://brainly.in/question/38239895

#SPJ2

PLEASE HELP FAST!!!!!!

Answers

The answer is C ) 40

Step-by-step explanation:

40 %  = 16 boys

+ 40 % = 16 girls

+ 20 % = 8 girls

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

+ 60 %  = 24 Girls

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

24 + 16 = 40 students

Answer:

d

Step-by-step explanation:

write the algebraic expression for: The length of a rectangle is 3 feet less than 4 times its width.​

Answers

Length = 4w - 3
Width = w

Answer:

Perimeter (P) is: 48

Problem to solve:

48=2(2x+3)+2(x)

48=4x+6+2x

48=6x+6

48-6=6x+6-6

42=6x

42/6=6x/6

7=x

Step-by-step explanation:

The length of a rectangle is 3 more than twice its width. The perimeter is 48 feet. Find the width. Hint: You did this in Module 3 Assignment 5. Now you have to write the equation and solve it.

a. 16

highlight%28b%29. 7

c. 8

d. 21

e. 24

:

Formula for the perimeter of a rectangle is: highlight%28P=2L%2B2W%29, P is perimeter, L is length, W is width.

Let Width (W) be:x

Then length (L)is: 2x+3

i need help ASAP!
(screenshot is below this time lol)

Answers

Answer:

B

Step-by-step explanation:

15-1/2 x = 21

1/2 x = - 6

x = - 12

Find the value of each variable in the parallelogram.

Answers

Answer:

u = 4; v = 18

because this is a parallelogram

=> 2u + 2 = 5u - 10

6 = v/3

<=> 3u = 12

v = 6.3

<=> u = 4

v = 18

100%
TA
Jenna and Todd are running for president of a school club. The candidates for vice president are Todd, Annie, and Luis. Because Todd is
running for both positions, he can't be elected vice president if he is elected president.
Which list shows all the possible outcomes for president (P) and vice president (VP)?
P
VP
P
VP
Jenna Annie
Jenna Todd
A
Jenna Luis
Oc.
Todd Annie
Jenna Annie
Todd Luis
Jenna Luis
Р
VP
P
VP
Jenna Todd
Jenna Annie
Jenna Annie
Jenna Luis
OB.
D
Jenna Luis
Todd Jenna
Todd Annie
Todd Annie
Todd Luis
Todd Luis

Answers

Answer: It would be Todd for (P) and Jenna for (VP)

Step-by-step explanation: OK, so look there are four people wanting to run for president and vice presdent  so Todd and Jenna are running for a school club Todd has a higher chance of getting one of the two positions because if people vote enough for Todd to get the president position and has a change of getting vice president so If Jenna get lots of vote for (P) then she will run for (P) but if not flip flop Todd and Jenna positions and   one of them go to get some position or if not the candidates move up a step.

PLease do all this i will give brainiest

Answers

Answer:

The cost of 10 pens is $2.25.

You would have 30 hard boiled eggs.

You will need 18 hard boil eggs for 54 scrambled.

Step-by-step explanation:

I NEED HELP!
The area of a rectangle is 12a^2 - a - 6 square inches. The width is 4a - 3inches. What is the length. Show your work.

Answers

Answer:

The length of rectangle is (3a+2).

-4x+y=3 plzz answerrr simplify itt

Answers

Answer:

x= -3/4 + y/4

Step-by-step explanation:

Move all terms that don't contain

x to the right side and solve.

Answer:

[tex]x = - \frac{3}{4} + \frac{1}{4} y[/tex]

Step-by-step explanation:

[tex] - 4x + y = 3[/tex]

[tex] - 4x = 3 - y[/tex]

[tex]x = - \frac{3}{4} + \frac{1}{4} y[/tex]

[tex]x = - \frac{3}{4} + \frac{1}{4} y[/tex]

Solve the system of equations

y = 5x + 32
y = -4x - 22

a. (6, 2)
b. ( -6, -2)
c. ( -6, 2) (correct)
d. No solution

Answers

Answer:

Option c is right:

(-6 , 2)

Step-by-step explanation:

( -6 , 2)

The diameter of a circle is 9 feet. Find the radius.

Answers

Answer:

4.5

Step-by-step explanation:

Diameter is equal to 2r. In other words, to find radius from the diameter, you divide the diameter by two. In this case, its 9/2. That gives you 4.5

Answer:

4 1/2 feet

Step-by-step explanation:

The radius fo the circle is half of the diameter so 4 1/2 Feet.

What is the mean of 8,7,6,9,8.5,7.5,10,5.5,7,9,8.5,7,9.5,8,8.5

Answers

Answer:

the mean is 7.93

Step-by-step explanation:

min5.5

median8

max10

Factor using the magic X method:

x^2 + 6x + 5

SHOW WORK!!!

Answers

find values that add to 5 and multiply to 6
so the answer would be (x+5)(x+1)

A new factory is growing fast and hiring a lot of new workers. Every week, the total number of workers doubles in size. If it takes 18 weeks for the factory to be at full capacity, how many weeks would it take for the factory to be at half capacity?

Answers

Answer:

9 weeks

Step-by-step explanation:

divide the full capacity by 2 to get 9 because 9 x 2 is 18 and half of the full capacity would be half capacity

Find the value of x if A, B, and C are collinear points and B is between A and C. AB=6x,BC=x−5,AC=23

Answers

Answer:

The value of x = 4 if A, B, and C are collinear points and B is between A and C.

Step-by-step explanation:

We need to find  the value of x if A, B, and C are collinear points and B is between A and C.

We have AB=6x,BC=x−5,AC=23

If points are collinear and B is between A and C we can write:

AC=AB+BC

Putting values and finding value of x

[tex]AC = AB+BC\\23=6x+x-5\\23=7x-5\\7x=23+5\\7x=28\\x=\frac{28}{7}\\x=4[/tex]

The value of x = 4 if A, B, and C are collinear points and B is between A and C.

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This helped me realized that whatever I was going through throughout my middle school years, that I needed to focus on myself and if I ever wanted to hangout with my friends, I should should hangout with the people I can trust and be myself with. Estimate the weight of a 1000kg car that is accelerating at 3 m/s/s. How is excess thermal energy released from your body?A: RunningB: Increased breathing rateC: PerspirationD: Laughing A its A its A its A its A its A How am I supposed to do this? Please help I have a time limit I need to get this done and need help with other question 2. What characteristic of the Renaissance does the quotation reflect?A.perspectiveB.patronageC.spirit of adventure and curiosityD.religious faith The points given in the table lie on a line. What is the slope of the line?