a ladder is leaning against a building. the top of the ladder is 21 feet up the wall. the bottom of the ladder is 20 feet away from the base of the building. how long is the ladder

Answers

Answer 1

Answer:

29

Step-by-step explanation:

We can use the pythagorean theorem to find the length of the ladder

[tex] {20}^{2} + {21}^{2} = c {}^{2} [/tex]

[tex]400 + 441 = {c}^{2} [/tex]

[tex]841 = {c}^{2} [/tex]

[tex]c = 29[/tex]

The answer is 29

Answer 2

Answer:

19 ft .

Step-by-step explanation:

Given :-

Height = 21 ft .Base = 20ft.

Using Pythagoras Theorem :-

p² + b² = h² 20² + 21² = h²400 + 441 = h²h² = 841h = √841 h = ± 19 ft h = 19 ft .

Related Questions

Two vertical posts stand side by side. One post is 8 feet tall while the other is 17 feet tall. If a 24 foot wire is stretched between the tops of the posts, how far apart are the posts?​

Answers

Answer:

22 1/4 feet

Step-by-step explanation:

you can sketch this problem to be a right triangle with a hypotenuse of 24 feet and one leg of 9 feet (17 - 8).

use Pythagorean Theorem to find the base side, which represents the distance between the posts

a² + 9² = 24²

a² + 81 = 576

a² = 576 - 81

a² = 495

a = [tex]\sqrt{495}[/tex]

a = [tex]\sqrt{9}[/tex] · [tex]\sqrt{55}[/tex]  =  3[tex]\sqrt{55}[/tex], which is approx 22.25

Answer:

about 22.25 feet

Step-by-step explanation:

You can think of it like a triangle, which you can see at the bottom

Then, use the pythagorean theorem, [tex]a^2 + b^2 = c^2[/tex].

you have a = 9 and c = 24, so

[tex]9^2 + b^2 = 24^2\\81 + b^2 = 576\\b^2 = 495\\b = \sqrt{495} = 3\sqrt{55} = about 22.25[/tex]

What is the slope of the line on the graph?

Answers

Answer:

87

Step-by-step explanation: im genius at math

Answer:

I think the slope would be (2,4)

Step-by-step explanation:

Becuse it rises by 2 and runs by 4

The midpoint of overline AB is M(0, - 7) . If coordinates of A are (- 2, - 6) , what are the coordinates of B?

Answers

Given:

The midpoint of overline AB is M(0, - 7) .

The coordinates of A are (- 2, - 6).

To find:

The coordinates of point B.

Solution:

Let the coordinates of point B are (a,b).

Midpoint formula:

[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]

The midpoint of overline AB is M(0, - 7). Using the midpoint formula, we get

[tex]M=\left(\dfrac{-2+a}{2},\dfrac{-6+b}{2}\right)[/tex]

[tex](0,-7)=\left(\dfrac{-2+a}{2},\dfrac{-6+b}{2}\right)[/tex]

On comparing both sides, we get

[tex]\dfrac{-2+a}{2}=0[/tex]

[tex]-2+a=0[/tex]

[tex]a=2[/tex]

And,

[tex]\dfrac{-6+b}{2}=-7[/tex]

[tex]-6+b=-14[/tex]

[tex]b=-14+6[/tex]

[tex]b=-8[/tex]

Therefore, the coordinates of point B are (2,-8).

pls help meh

6th grade math

Answers

Answer:

1,728%

Step-by-step explanation:

multiply baby

Actually jt is 75% divide 36 by 48

What is sin 45°?
45°
va
1
1
90°
45°

Answers

Answer:

Step-by-step explanation:

330

What number replaces C to complete the square of the equation below

Find the solution to problem seven using the complete square method

Answers

Answer:

c= 25, solutions: x = 3, x= -13

Step-by-step explanation:

(10/2) ^2 = 25

(x+5)^2 = 64

please help!!! A pair of parallel lines are reflected. Which of these could be the result? thankyou!! (will mark brainliest

Answers

The answer is C!!!!!!

Answer:

C

Step-by-step explanation:

parallel lines never cross

Someone was shopping at a store that advertised 50% off everything. She found a new CD player originally priced at $76. What was the sale price?

Answers

Answer:

38

Step-by-step explanation:

Pleaseee helppp answer correctly !!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!

Answers

Use distance formula shown here

Describe two methods that can be used to find the area of the composite figure. Doing 45 pts and brainliest.

Answers

1.) Divide the composite figure into a square on the left, a rectangle in the middle, and a square on the right by drawing two vertical lines through the figure. Then calculate the individual areas of the shapes and add them all together.

2.) Divide the composite figure into a square on the top and a rectangle on the bottom by drawing a horizontal line through the figure. Then calculate the individual areas of the shapes and add them all together.

Hope this helps, and have a wonderful day!

Select an equation of a parabola that has a vertex at (2,-1) and a zero at x=3 .
A. y=x² -4x+ 5
B. y=x² -4x + 3
C. y=x² + 4x -21
D. y=x² + 4x +3

Answers

The answer to this question is B. y=x^2-4x+3

Find (f ° g)(0). *

f(x) = 5x – 4
g(x) = x^2 – 1

O A.3
OB. -9
O c.-4
O D.-17

Answers

Answer:

B

Step-by-step explanation:

Remark

I have to represent f(x) as plus +f(x)

I like to show this situation as +f(g(x)) which I think is much clearer.

+f(x) = 5x - 4    

Solution

+f(g(x)) = 5(g(x)) - 4  What has happened is that wherever you see an x on the right you put in g(x).

Now on the right, you put whatever g(x) is equal  to.

+f(g(x)) = 5(x^2 - 1)  - 4    

Remove the brackets.

+f(g(x)) = 5x^2 - 5 - 4

And make x = 0

+f(g(0)) = 5*0 - 5 - 4

+f(g(0)) = - 9

Determine what each letter represents in the Punnett square.

Letters A and B represent the genotypes of the
.

Letters C, D, E, and F represent the genotypes of the
.

Answers

Answer:

It is first one PARENTS. Second one OFFSPRING.

Step-by-step explanation:

edg 2021. ALSO, yy and xx is parents and offspring.

Answer: first blank parents, second blank offspring

Step-by-step explanation:

The prime factorization of 16x5

Answers

Answer:

well first 16x5=80

2 * 2 * 2 * 2 * 5

Step-by-step explanation:

Hope that helps! :)

What is 49/50 equivalent to as a decimal and as a percent

Answers

.98 and98% .................

cuántas unidades es mayor + 16 con respecto a +3​

Answers

Answer:

es 13 unidades mayor

Step-by-step explanation:

16 - 3 =13

a wildlife photographer photographs a crocodile and then paddles against a river current for 6 km. Then, hoping to photograph a hippopotamus, she paddles 15 km across a lake. She paddles across the lake for one hour longer than she paddled up the river. find the speed of the boat as she paddles the lake if the river current is 2 km/h

Answers

Answer:

6 km/hr or 5 km/hr

Step-by-step explanation:

In the lake, she goes 15 km at x km/hr (named)

In the river, she goes 6 km at x-2 km/hr (current=2 km/hr)

So, the time in the lake -  the time in the river = 1 hour (given)

15/x - 6/x-2 = 1 --> x=6;x=5

The speed of the boat as the photographer paddles the lake if the river current is 2 km/h is 6 km/hr and this can be determined by forming the quadratic equation.

Given :

A wildlife photographer photographs a crocodile and then paddles against a river current for 6 km.Then, hoping to photograph a hippopotamus, she paddles 15 km across a lake.She paddles across the lake for one hour longer than she paddled up the river.

According to the given data, if the river current velocity is 2 km/hr then let the speed in the lake be x km/hr. So, the speed of the photographer in the river is (x - 2) km/hr

Therefore, the speed of the boat as she paddles the lake if the river current is 2 km/h is given by:

[tex]\dfrac{15}{x} - \dfrac{6}{x-2}=1[/tex]

Now, simplify the above expression.

[tex]15(x-2)-6(x)=x(x-2)[/tex]

[tex]15x-30-6x=x^2-2x[/tex]

[tex]x^2-11x+30=0[/tex]

Factorize the above equation.

[tex]x^2-6x-5x+30=0[/tex]

x(x - 6) - 5(x - 6) = 0

(x - 6)(x - 5) = 0

x = 6 or 5

For more information, refer to the link given below:

https://brainly.com/question/25277954

can someone help me plssssss

Answers

Answer:

16.5

Step-by-step explanation:

Divide Rs 36 between Avni and Namitha in the ratio of 5:4. Find how much each will get

Answers

Step-by-step explanation:

Avni's ratio = 5/9

Money of Avni = 36*5/9= 20

Namitha's ratio= 4/9

Money of namitha = 36*4/9= 16

Maria Contrerras earned $53,000 in taxable income. She figured her tax from the single taxpayer table above.

1. Find her earned income level.

2. Entered the base amount. = $

3. Found the amount over $ = $

4. Multiplied line 3 by 25% = $

5. Added Lines 2 and 4 = $

Answers

Answer:

1:31,850-77100

2:4389

3:31850=21150

4:5287.50

5:9673.50

Step-by-step explanation:

Just basic math yall

HELP PLEASE ANYONE I’m so lost

Answers

Answer:

x =4

Step-by-step explanation:

so pretty much you're give the values for theta and phi, so all you have to do is insert the values in their corresponding position and simplify it. After the simplification process, the answer should be no less or more than 4.

Answer:

the answer is 4

Step-by-step explanation:

by simplification;

=》

[tex] \frac{a + b}{a - b} [/tex]

** putting the value of a and b :-

=》

[tex] \frac{5 + 3}{5 - 3} [/tex]

=》

[tex] \frac{8}{2} [/tex]

=》

[tex]4[/tex]

The Murphy family is on a road trip. On the first day, they traveled 30% of their total distance. On the second day, they traveled another 1 4of the total distance. What fraction of the total distance do they have left after

Answers

Answer:

5/12

Step-by-step explanation:

Total distance travelled = 30% + 1/4

To add these numbers, convert 30% to fraction

30% = 1/3

1/3 + 1/4 = 7/12

Remaining distance = 1 - 7/12 = 5/12

1+2
Please help
filler filler filler​

Answers

Answer:

1+2=3 is answer

Step-by-step explanation:

so what help u need?

Simplify. -y -7x + 7y
The simplified expression is ___y - ____x.

Answers

Answer:

the simplified expression is: 6y-7x

Step-by-step explanation:

-y+7y= 6y

           -7x

           = 6y-7x

The roof of Mr. Thompson’s house is blank feet high to climb on top of his house healing a 13 foot ladder against the roof of his house in place is the base of the latter 5 feet from the house

Answers

Okay, what's the question!

Answer:

12 i think

Step-by-step explanation:

Parker drove 8 miles in 15 minutes. If he drove at a constant rate, how far did he travel in one hour?

Answers

The answer is 32 miles
The Answer is
32 miles

Pls help me ASAP thank you!!

Answers

Distribute

8(9f + 5)

72f + 40

Solution

72f + 40

Weird question but, whenever you divide by 1/4 or multiply by 4/1, will you always get the same answer.

(25 points if you answer this.)

Answers

Answer:

yep

Step-by-step explanation:

when you divide a fraction u can use the KCF method which is basically:

(keep) the first fraction the same

(change) the division sign in the middle to a multiplication sign

(flip) the second fraction

basically because you have to flip the 1/4 when you divide it, it'll be the same as a 4/1 anyways

The population of a town
bendly increase by 20 %
every year. If the populatich
Of the town in 2015 was 600,000 then what would be the population in 2018

Answers

Answer:

1,036,800 in year 2018

Step-by-step explanation:

20% of 600,000 is 120,000

120,000+600,000=720,000

720,000 in year 2016

20% of 720,000 is 144,000

720,000+144,000=864,000

864,000 in year 2017

20% of 864,000 is 172,800

172,800+864,000=1,036,800

1,036,800 in 2018

What is the value of X?

What is the value of Y?

What is the value of Z?

Answers

Answer:

The answer is

[tex]x = 12 \\ y = 20 \\ z = 15[/tex]

Step-by-step explanation:

By using Pythagoras low

Then we can find that

[tex] {y}^{2} = {x}^{2} + {16}^{2} \\ {z}^{2} = {x}^{2} + {9}^{2} \\ {y}^{2} + {z}^{2} = {25}^{2} \\ then \\ {x}^{2} + {9}^{2} + {x}^{2} + {16}^{2} = {25}^{2} \\ 2 {x}^{2} = 288 \\ x = 12 \\ By \: substituting \: x \: into \: the \: previous \: equations \\ then \: \\ y = 20 \\ z = 15[/tex]

Answer:

The answer is

Step-by-step explanation:

By using Pythagoras low

Then we can find that

Step-by-step explanation:

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