A 12.5-foot ladder is leaning against the side of a house. If the ladder is resting 12 feet off the ground, how far is the ladder from the house?

A. 2 feet

B. 3.5 feet

C. 6.25 feet

D. 7 feet

Answers

Answer 1

Answer:

B. 3.5 feet

Step-by-step explanation:

The part leaning against the wall is the hypotenuse while the height of the ladder off the ground is the opposite and the distance of the ladder from the house is the adjacent side.

Given the following data;

Hypotenuse = 12.5 ft

Opposite = 12 ft

To find the adjacent side, we would use the Pythagorean theorem;

Hypotenuse² = opposite² + adjacent²

Substituting into the formula, we have;

12.5² = 12² + adjacent²

156.25 = 144 + adjacent²

Adjacent² = 156.25 - 144

Adjacent² = 12.25

Taking the square root of both sides, we have;

Adjacent = 3.5 feet.

Therefore, the distance of the ladder from the house is 3.5 feet.


Related Questions


Help me out please?

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Answer:

perpendicualr

Step-by-step explanation:

Answer:

Perpendicular

Explanation:

Urgent: Find value of X

Answers

Answer:

x=44 degrees

Step-by-step explanation:

A line = 180 degrees

Given degrees: 136

180-136= 44

yes x=44 because it is a straight line that equals 180


If x^3+y^3−12xy+64=0, what is the value of x+y?

Answers

Answer:

I don't know

Step-by-step explanation:

I don't really know but if you want help with math questions try this website called wolfram alpha. It's great

4. Find the measure of arc WXY.

Answers

Answer:

200

Step-by-step explanation:this problem is actually very simple. a circle and a max measure of 360 so all you do is subtract 160 from 360 and there you go.     :)

Alright fam, help me out here with these angles thanks!

Answers

Answer:

m∠3 = 127°

Step-by-step explanation:

From the given picture,

Two parallel lines have been given.

Angle 3 and another angle measuring 53° are located on a point of a straight line.

Therefore, both the angles will be supplementary.

m(∠3) + 53° = 180° [Property of supplementary angles]

m(∠3) = 180° - 53°

          = 127°

1/2x - 7 = 1/3 (x- 12)

Answers

Answer:

x = 18

Step-by-step explanation:

1/2x - 7 = 1/3 (x- 12)

Multiply both sides by 3

3 * 1/2x - 3 * 7 = 3 * 1/3 (x - 12)

3/2x - 21 = x - 12

Collect like terms

3/2x - x = 21 - 12

1/2x = 9

Multiply both sides by 2

x = 2 * 9

x = 18

Answer:

x = 18

hope this helps! :)

What percent of 54 is 28?

Answers

Answer:

51.85

Step-by-step explanation:

hope this helps lol

51.85

Percentage Calculator: 28 is what percent of 54? = 51.85.

A 2025633
1)(a)(a)
3(3)(5)(5)(a(a)
Which expressions listed on the left are equivalen
36a8? Check all that apply. (Assume that a 7 0.
22502
B
466
25
D A
13
C.
25
B.
DES
В С
E
3 D
Е Е

Answers

Answer:

if I'm not mistaken I think your answer will be B

The equivalent expressions for [tex]\sqrt{\frac{36a^8}{225a^2} }[/tex] are A, B and E.

What is Square Root?

Square root of a number is the value such that the value when multiplied to itself two times gives the original number.

It is denoted by the symbol √.

Given expression is [tex]\sqrt{\frac{36a^8}{225a^2} }[/tex].

There are five expressions in the left.

A. [tex]\sqrt{\frac{2(2)(3)(3)(a)(a)(a)(a)(a)(a)(a)(a)}{3(3)(5)(5)(a)(a)} }[/tex]

Here we have to multiply the terms in the numerator as well as in the denominator.

2(2)(3)(3) = 36 and 3(3)(5)(5) = 225

So this expression is equivalent to the given  [tex]\sqrt{\frac{36a^8}{225a^2} }[/tex].

B. [tex]\sqrt{\frac{4a^6}{25} }[/tex]

We know that, greatest common factor of 36 and 225 is 9.

36/9 = 4 and 225 / 9 = 25

Also a⁸ / a² = a⁸⁻² = a⁶

So this is also an equivalent expression.

C. [tex]\frac{6}{25} \sqrt{ \frac{a^8}{a^2} }[/tex]

This is not equivalent since √225 = 15, not 25.

D. [tex]\frac{6}{15} a^4[/tex]

This is also not equivalent since  [tex]\sqrt{ \frac{a^8}{a^2} }[/tex] = [tex]\sqrt{a^6}[/tex] = a³, not a⁴.

E. [tex]\frac{2}{5} a^3[/tex]

This is equivalent expression since √36 = 6 and √225 = 15.

[tex]\sqrt{\frac{36a^8}{225a^2} }[/tex] = [tex]\frac{6}{15}[/tex] [tex]\sqrt{ \frac{a^8}{a^2} }[/tex] = [tex]\frac{2}{5}[/tex] [tex]\sqrt{a^6}[/tex] = [tex]\frac{2}{5} a^3[/tex]

Hence the equivalent expressions are A, B and E.

Learn more about Expressions here :

https://brainly.com/question/28170201

#SPJ7

Your question is confusing. The image of the question is attached below.

I need help!I’ve been struggling on this worksheet for so long!

Answers

Answer:

I think that the answers to this question are B , C .

The total of your bill at the restaurant is $42.50.You want to leave a 10%tip. What is the amount of money you would leave for the tip. Brainly

Answers

Explanation is in the file

tinyurl.com/wpazsebu

10%=0.1
$42.50 x 0.1= $4.25 tip

C)
(2a²b)² +3(a²b)²-x²(-3ab)²​

Answers

Answer:

7a^4b^2 -9a^2b^2x^2

Step-by-step explanation:

Given (2a²b)² +3(a²b)²-x²(-3ab)²​

Recall that (xy)^a = x^a * y^a

Hence (2a²b)² +3(a²b)²-x²(-3ab)²​

expanding the expression

= (2^2 *a^2+2 *b^2) + 3(a^2+2*b^2) - x^2(-3^2 * a^2b^2)

= 4a^4b^2 + 3a^4b^2 - x^2(9a^2b^2)

simplify

= 7a^4b^2 -9a^2b^2x^2

which graph shows the solution to the system of equations?y =-2x+1 and y =-3/2

Answers

Answer:

(1.25, -1.5)

Step-by-step explanation:

The system of equations:

y = -2x + 1

y = -3/2

So we know that the two lines meet at the point where y = -3/2 = -1.5

∴ -1.5 = - 2x + 1

2x = 1 + 1.5 = 2.5

x = 2.5 ÷ 2 = 1.25

So the solution to this system of equation (or where the two lines meet) is the point (1.25, -1.5)

hshsvsjsn svshsismsnsbs​

Answers

Answer:

C. 5.44

Step-by-step explanation:

What is the volume, in cubic feet, of this cylinder?
10 ft
20 ft

Answers

The answer would be 200 because multiplying 10×20 gives you 200

A certain pipe can be used to fill a pool with water in 2 hours. A second pipe can be used to fill the pool in 4 hours. How long does it take to fill the pool when both pipes are used at the same time?​

Answers

Answer:

1 1/3 hours

Step-by-step explanation:

Pipe 1 alone:

fills the pool in 2 hours

in 1 hour, it fills 1/2 of the pool

Pipe 2 alone:

fills the pool in 4 hours

in 1 hour, it fills 1/4 of the pool

Pipe 1 and Pipe 2 working together:

fill the pool in x hours

in 1 hour, they fill 1/x of the pool

Working together, in 1 hour the two pipes fill 1/2 + 1/4 of the pool.

Working together, in 1 hour the two pipes fill 1/x of the pool.

Therefore,

1/2 + 1/4 = 1/x

2/4 + 1/4 = 1/x

3/4 = 1/x

x = 4/3

x = 1 1/3

Answer: 1 1/3 hours

what is polynomail area​

Answers

Answer:

2x²-8 if it doesnt give you x=   if it gives you an x= then comment it and ill work it out.

Step-by-step explanation:

it was pretty simple

What Is The Measure Of X?

Answers

Answer:

114°

Step-by-step explanation:

here's your solution

=> x° + 66° = 180°

=> x = 180° - 66°

=> x = 114°

hope it helps

Answer:

66°+x=180°[by linear pair]

x=180°- 66°

x=114°.



How many solutions does the system of equations have?
x = -3y + 4 6y + 2x = 8

Answers

Answer:

The equation x = -3y + 4 6y + 2x = 8 has infinite number of solutions.

When a rectangle is rotated about one side forms which solid?
A. Rectangular pyramid
B. Cylinder
C. Sphere
D. Rectangular prism

Answers

I think it’s Cylinder! Correct me if wrong

Look at picture, Throw a ball in the air and create a function models to show the trajectory the variable x represents time in seconds after the ball was thrown

Answers

Answer:

Mark's Ball is thrown from a greater height off the ground. Roberto's ball reaches a greater maximum height.

Step-by-step explanation:

I took the test.

Solve for x
I need help fast

Answers

Answer:

4x-1=1/2(10x-20)

8x-2=10x-20

-2x=-18

X=9

I -9I = ____
HELP HELP ME ME ASAP PLEASE

Answers

Answer:

9

Step-by-step explanation:

l l means absolute value

the absolute value of any negative number is the same number but positive

so the absolute value of -9 is positive 9

Answer:

9

Step-by-step explanation:

Absolute value (or the lines) makes everything inside of it positive, so |-9| = 9

But I really need help to pass

Answers

Answer:

the cane

Step-by-step explanation:

The candy cane thing. If you can draw a line through it and see a mirror image, it’s symmetrical. The candy cane has no reflection/symmetry line.

Find the triangles area drawing not to scale.

Answers

Answer:

35 lol

Step-by-step explanation:

a = b*h/2

a = 10*7/2

a = 70/2

a = 35 lol

Please give me the correct answer.Only answer if you're very good at math.Please don't put a link to a website.​

Answers

Answer:

a is equal to 0

Answer: A is equal to 0

Anything’s you time by 0 you get 0 remember that

Step-by-step explanation:

0 and 0.1*0=0 and 0.01*0=0 so 0=0

Paper clips are sold in boxes of 1000.
Each box costs £15.40

The table below shows the discount offered for large orders.

Ethan orders 5 boxes of paper clips.

Work out the amount of discount Ethan gets.​

Answers

Answer:

6.5%

Step-by-step explanation:

1000 in a box and he orders 5 boxes.

1000x5= 5000

So he orders 5000 paper clips

1 box is £15.40 and he order 5, so £15.40x5= £77

£77 is between £55 and £79.99 so he will get 6.5% discount.

After the discount he will pay  £71.99

i need help pls..........

Answers

Answer:

a 14.3

Step-by-step explanation:

23 divided by 4 is 14.3

10) The volume of a rectangular prism is 48 cm3. What is the volume when
the height is changed by a scale factor of 1/2 ?

Answers

Answer:

plz tapusin nyo na namn a ahh tawa kay

Go to my question that says “ What’s the area of the triangle??” please help me

Answers

Answer:

Ok I'll help

Step-by-step explanation:

Arectangle has a width that is 8 centimeters less than its length. The perimeter of the rectangle is 56 centimeters. Find both the width and length of the rectangle. Show your work.

Answers

Answer:

L=18cm

W=10cm

Step-by-step explanation:

Given data

let the length be x

L=x

Width= x-8

W= x-8

Perimeter= 56cm

But we know that the perimeter is expressed as

P=2L+2W

substitute our data

56=2(x)+2(x-8)

56=2x+2x-16

56+16=4x

72=4x

divide both sides by 4

x= 72/4

x=18cm

Hence the Length is 18cm

L=18cm

The width= 18-8

W=10cm

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