A 20-foot ladder is leaning against the side of a house so that the bottom of the ladder is 12 feet from the base of the house. Will the ladder reach a window that is 14.5 feet above the ground?

Answers

Answer 1

Yes, because the 16 feet ladder will reach to the window that is 14.5 feet above the ground.

What is Pythagoras theorem?

Pythagoras' Theorem states that the square of the hypotenuse side of a right-angled triangle equals the sum of the squares of the other two sides.

The hypotenuse of a triangle, which has a straight angle of 90 degrees, has a square that, according to the Pythagoras theorem, equals the sum of the squares of the other two sides.

According to the question;

A 20-foot ladder is leaning against the side of a house.

Hypotenuse H= 20 feet

The bottom of the ladder is 12 feet from the base of the house.

Base B = 12 feet

And let P be the perpendicular.

Using Pythagoras theorem

H²= P² + B²

20² =12² +P²

P²= 400-144

P²= 256

Taking the square root.

P= 16 feet.

Since the height of the ladder is 16 feet, and we have to reach 14.5 feet above the ground.

16 > 14.5

That means, the ladder will reach to the window.

Hence, Yes, the 16 feet ladder will reach to the window.

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Related Questions

1/2 x (6 x 4) divided 3 + 2

Answers

Answer:

6

Step-by-step explanation:

6*4=24

1/2*24=12

3+2=5

12/5=6

Parenthises

Exponets

Multiplication

Divide

Add

Subtract

Hope this helps!!

Answer:

6

Step-by-step explanation:

1/2 x (6 x 4) ÷ 3 + 2  

(We do the equation in the parenthesis 1st)

1/2 x 24 ÷ 3 + 2    

(Since it's multiplication and division, we just go from left to right)

4 + 2

6

What is 2 times 200 - 321 + 67= 56-65



jameskeeton04 pls talk to me

Answers

Answer: 2*200-321+67=56-65? look at the picture

Step-by-step explanation: Hope this help :D

Answer:

-9

Step-by-step explanation:

2 x 200 = 400

400 -321 = 79

79 + 67 = 146

56 - 65 = -9

Please let me know if this helps.

A second recipe calls for 2/3 cup of sugar for every 1/2 teaspoons of vanilla. What is the unit rate of cups per teaspoon?

Answers

Answer: The answer is 4/3 the original answer is 1 and 1/3 but if you simplify it you get 4/3

-hopes this helps<3

Step-by-step explanation:

A score of at least 92 on the test is considered an A.

Answers

Answer:

Yes that is correct. 89 and below. Is a B. 90 or higher is a A.

Step-by-step explanation:

A computer store changed the price of a laptop. It was originally $900, but now it is $1,100.Find the percent of change

Answers

Answer:

The percent of change is 22.22%.

Step-by-step explanation:

You can calculate the percent of change by subtracting the original number from the final number and dividing that by the original number. Then, you have to multiply the result for 100:

percent of change=((1,100-900)/900)*100

percent of change=(200/900)*100

percent of change=22.22%

According to this, the answer is that the percent of change is 22.22%.

-4x = -28
I need an answer...

Answers

Answer:

x = 7

Step-by-step explanation:

-4x/-4 = -28/-4

x = 7

how do you solve 10.50 X 8.5

Answers

Answer:

89.25

Step-by-step explanation:

because:

it just is

a rectangle has a length of 25x^3 and a width of 5x^2. Fkns the area.​

Answers

Answer:

Step-by-step explanation:

I hope you want the area.

Area = L * W

L = 24x^3

W = 5x^2

Area = 24x^3 * 5x^2

Area = 120 * x^(3 + 2)

Area = 120 * x^5

Note

When you multiply numbers or letters that have powers, if the base for both of them is the same, the powers are added.

The above answer is an example x^2 * x ^3 are letters (x) that are raised to the 2nd power and the 3rd power. You add the powers.

Numbers can do the same thing

2^5 * 2^3 = 2^82*8 = 2562^5 = 642^3 = 8

64 * 8 = 256

what is 2x-15+21= -18​

Answers

Hopes this helps:

Answer: x = -12

How I know I use this app called Cymath.

Answer:

2x - 15 +21 = -18

2x + 6 + 18 = 0

2x + 24 =0 ...it is a linear equation

if u want to solve for X then..

2x = -24

X = - 24

2

X = -12

Solve the following system of equations by substation.
5y = 7x + 22
x = -6y + 17

A. (2,-1)
B. (5,3)
C. (-1,3)
D. (-1,4)

Answers

Answer:

C. (-1, 3)

Step-by-step explanation:

Label the 2 equations:

5y= 7x +22 -----(1)

x= -6y +17 -----(2)

Substitute (2) into (1):

5y= 7(-6y +17) +22

5y= -42y +119 +22 (Expand bracket)

5y= -42y +141 (Simplify)

42y +5y= 141 (+42y on both sides)

47y= 141

y= 141 ÷47 (÷47 on both sides)

y= 3

Substitute y= 3 into (2):

x= -6(3) +17

x= -18 +17

x= -1

Thus, the solution is (-1, 3).

Solve please. 20 points.

Answers

Answer:

336 cm^2

Step-by-step explanation:

Well theres not exactly a formula, I jsut solve the 3 faces and then double it all since 2 are the same for each except for 1 so the first side is the 10X12 one. that would give you 60 and then you double that and get 120 since 2 same faces.

The next one the 6X13  one is just a sideways rectangle, a=lw and that would be 78. Two faces same side double 78 and get 156.

Now the final side is the bottom which is jsut 10X6. a=lw and that would eqaul 60. No need to double since thats the only side that doesn’t have a duplicate. Add all your result up and you would get

336 cm^2

help pls ..........!!!!!!!!!!!!!!

Answers

Answer:

x(3 + 4)

4(3x + 1)

Step-by-step explanation:

3x + 4x

The common factor is x, so factor out the x.

3x + 4x = x(3 + 4)

12m + 4

The common factor is 4, so factor out the 4.

12m + 4 = 4(3x + 1)

solve -4x/x-1+2x+6/x^2-1=1

Answers

Answer:

Step-by-step explanation:

6/x^2 + 2 x = 7

2 x^3 - 7 x^2 = -6 (for x!=0)

(2 (x^3 - 3 x^2 + 3))/x^2 = 1

what is the volume..?

Answers

Answer:

225

Step-by-step explanation:

Ash began her hike at 1,986 feet above sea level. She then hiked down 2,510 feet decreased her altittude by
another 420 feet and then increased her altitidue by 712 feet. What is Addison's final altitude ?
Vocab: Altitude
means the height of an object or point in relation to sea level or ground level.

Answers

Answer:

1986-2510=-524

-524-420=-994

-994+712=-232

final altitude=-232

Step-by-step explanation:

HURRY ! What is the remainder when f(x) = (x4 – 6x2 – 29)
is divided by (x + 2)?
h

Answers

Answer:

I think its 13

Please mark brainliest if its correct and want further answers :)

select all equations that have x = 3 as a solution. A. X + 7 = 10 B. 3+ x = 3 C. x • 3 = 1 D. 4 • x = 12 ​

Answers

Answer:

A.

Step-by-step explanation:

7+3=10 so it will be A, you're welocme

Answer:

A and D

Step-by-step explanation:

A) x + 7 = 10

D) 4 × x = 12

In the equation y = kx, what does the variable k represent?
A. The dependent variable

B. The constant of variation

C. The independent variable

D. The direct variation equation

Answers

Answer:

I think it B but I really don't know cause need like an example

The k in the equation represents Option B) The constant of variation

What is a constant in an equation?

A constant is a value or number that never changes in expression; it's constantly the same. For example,  36 and 82 are constant because its face value is 36 and 82 respectively. Its value never changes.

Given here the equation y=kx where k is the slope and a scalar value thus it is independent of x and y and thus is a constant.

Hence, The k in the equation represents Option B) The constant of variation

Learn more about the constant in an equation here:

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What is the surface area of this figure?

Thanks in advance!

Answers

Answer:

24 cm ²  B.

Step-by-step explanation:

if the triangle is a right triangle he I know it

do 4*3=12 the /2 so 6

8-4=4  4*1.5=6  

3*4=12

12+6+6

24 I think

Greatest Common Factor (GCF) and Lowest Common Multiple (LCM) of (40, 42) ASAP Please​

Answers

Answer:

the gcf for 40 and 42 is 2

and lcm for 40 and 42 is 840

Step-by-step explanation:

the factors of 40 are 1,2,4,5,8,10,20,40 ; the factors of 42 are 1,2,3,6,7,14,21,42 .

So what they have in common for GCF is 2 for a factor .

multiples of 40: 40, 80, 120,160,200,240,etc.

multiples of 42 : 42, 84,126,168,210,252,etc.

What they have in common for LCM is a multiple is 840

hope I helped ! please mark me brainlest if I got it right :)

A_______ represents data through pictures of objects.
(Data,Tally,Bar graph, Pictograph)​

Answers

Answer:

Pictograph

Step-by-step explanation:

Find the value of b. Round your answer to the nearest tenth.

Answers

Answer:

[tex]x = 29.65 \\ = > x = 30[/tex]

Bob is throwing a party. He has 222222 pints of soda. At the end of the party, there are 888 pints of soda.
How many cups of soda were drank during the party?

Answers

I do not know that that is hard

Answer: Why does this guy need so much soda? And my brain isn't working for math right now. Sorry sweetheart.

Step-by-step explanation: Have a nice day!

HELP DUE IN 10 MINS! Solve for x in the parallelogram below:

x=??

Answers

Answer:

7

Step-by-step explanation:

Opposite sides of a parallelogram are congruent:

2x + 10 = 4x - 44x - 2x = 10 + 42x = 14x = 7

find missing exponents ​

Answers

I say 3 if I’m wrong sorry

Could you guys help me please?​

Answers

Answer:

1: 115

2: 65

3: 115

4: 65

5: 143

6: 37

7: 28

8: 152

What are the length and width of the rectangle?
(picture included)

Answers

Answer:

a or c

Step-by-step explanation:

I don’t know ask for help sorry don’t blam this on me

What is the answer and can you please explain how to do the work.

Answers

Answer:

28in

Step-by-step explanation:

you cut the face in shapes you recognize how to do the area of. Then find the numbers of the shapes that might be missing, then add them all up.

I see a rectangle, square, and square.

A = 10×2

A = 20in

A = 2x2

A = 4

A = 2x2

A = 4

add the areas up you get 28in

What are the slope and y-intercept of line r and line s?​

Answers

Answer:

S y-intercept (0,2)

R y intercept (0,0)

Step-by-step explanation:

WHAT IS THE SURFACE AREA OF THE SHAPE DUE BY 5:00 PM PLZ WITH WORK

Answers

Answer:

120

Step-by-step explanation:

Answer: 156mm sq for the rectangle and 100mm sq for the triangle

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