a ladder is leaning up against a building. the bottom of the ladder is 6 feet from the building. the top of the ladder reaches the wall at a height of 8 feet. how long is the ladder?

Answers

Answer 1

The length of the ladder is [tex]x = \sqrt{100} =10 feet[/tex].

To find out the length of the ladder leaning against the building given the following conditions; bottom of the ladder is 6 feet from the building, and the top of the ladder reaches the wall at a height of 8 feet, the Pythagorean theorem can be utilized.

Therefore the length of the ladder is approximately 10 feet.

The Pythagorean theorem states that for a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides.

This can be expressed as:

[tex]c^2=a^2+b^2[/tex]

where c is the hypotenuse (the longest side of the triangle)

a and b are the other two sides

Given, the distance from the bottom of the ladder to the wall is 6 feet and the height from the ground to the top of the ladder is 8 feet.

Let the length of the ladder be x

According to the Pythagorean theorem:

[tex]x^2 = 6^2 + 8^2 x^2[/tex]

[tex]x^2 = 36 + 64x^2[/tex]

[tex]x^2 = 100[/tex]

Therefore the length of the ladder is [tex]x = \sqrt{100}= 10 feet[/tex].

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Related Questions

Pls help .............................

Answers

Pythagorean theorem you times 40 by 2 then 9 by 2 then square root

how many solutions does y equals -6x - 7 have ​

Answers

Answer:

Infinitely many solutions.

Step-by-step explanation:

x can be any number, and the y will change with x.

What is the slope of the line passing through the points (-3, 4) and (2, -1)?

Answers

Answer:

- 1

Step-by-step explanation:

Mathematically, slope = (y2 - y1)/(x2 - x1)

Here,

(x1, y1) = (-3, 4) ; (x2, y2) = (2, - 1) or vice versa

Slope = (-1 - 4)/(2 - (-3))

= -5/5

= - 1

A regular hexagon is shown below. Find the value of x.
(11x + 21)°

Answers

Answer:

x=9

Step-by-step explanation:

The expression is for the interior angle of the hexagon; one interior angle is equal to .

Since an interior angle of a hexagon measures 120°, we have the equality

.

Now it is just a matter of solving for  

11x=120-21

11x=99

x=99/11

x=9

The value of {x} for the hexagon shown is 9.

What is Hexagon?

A hexagon is a polygon with 6 equal sides. The perimeter of a hexagon is the sum of all the six lengths. The measure of the interior angle of a hexagon is 120 degrees.

Given is to find the value of {x} in the Hexagon shown below.

The measure of the internal angle of a hexagon is 120 degrees. So, we can write -

(11x + 21) = 120

11x = 120 - 21

11x = 99

x = 9

Therefore, the value of {x} for the hexagon shown is 9.

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What Is the dependent variable the shoe size or the height

Answers

Answer:

The dependent variable is the shoe size

Step-by-step explanation:

what is the slope of equation y=1/3x​

Answers

Answer:

1/3

Step-by-step explanation:

Hey There!

The slope of y=1/3x is 1/3

The number right in front of the x is the slope

Hope this helps :)

I’ll mark you!!! (I got 5 but I just wanna check my answer to see if we got the same answer)

Answers

Answer:

I think its B but I'm not 100% sure

Answer:

Its 20 buckets.

Step-by-step explanation:

Solve for x
-2a+7-3(-9-4a)​

Answers

Answer: a=-3.4

Step-by-step explanation: you mean solve for a:)

-2a+7-3(-9-4a)=0        We would have to equal this equation to 0

-2a+7+27+12a=0         We multiply the -3 with the parentheses

10a+34=0                     Add the like terms, and subtract 34 from both sides

10a=-34                        Then divide both sides by 10

a=-3.4

Bill has 40 apples. Laurie has 8 times as
many apples.

Answers

If Laurie had 8 times as many apples as Bill's 40 apples, the equation would be 40 x 8. 40 x 8 = 320 :)

Answer:

320man zaans

Step-by-step explanation:

How many solutions does 5x+24=5(x+5)

Answers

Answer:

There are no solutions.

Pls solve this angle question.

Answers

answer you looking for is D

HELP PLEASE
68 POINTS!
BRAINLIEST

You can zoom in on the photo for it to be clearer!!

Answers

Hold up I’ll help u

Please help I need it! Will give brainliest

Answers

Answer:

74880

or if your doing addition

44

Step-by-step explanation:

6*12*4*4*5*13

6+12+4+4+5+13

Answer:

the area is 44

Step-by-step explanation:

the reason for it is because 13+5+4+4+12+6=44

f(2)=−14 and g(2)=13 Find (f+g)(2).

Answers

Answer: The value of (f+g)(2) = -1

Step-by-step explanation:

Given: f(2)=-14 and g(2)=13

To find: (f+g)(2)

Addition of two functions:

(f+g)(x) = f(x)+g(x)

Then, (f+g)(2) = f(2)+g(2)

(f+g)(2)  = -14+13  [given]

(f+g)(2)  = -1

Therefore , the value of (f+g)(2) = -1

Look at the picture please!!!!

Answers

Answer for 1:

8x + 10

Answer for 2:

2x + 1

Answer for 3:

-3x - 15

Answer for 4:

2x + 10

Answer for 5:

-3x - 5

Answer for 6:

-17x - 3

Answer for 7:

8x - 18

Answer for 8:

-x + 4

Answer for 9:

4.8x + 5.6

Answer for 10:

1.25x + 1

Answer for 11:

The Dolphins won 7x + 10 more points than the Jaguars

Answer for 12:

The sandwich costs x + 1.01 more than the drink

Answer for 13:

Tuition costs 7x + 25 more than fees

Tuition costs 7x + 72 more than rooms and board

Answer:

1. 9x squared + 34x +21

2. 2x + 1

3. -3x + 15

4. 2x + 10

5. 14x + 3

6. -17x - 3

7. 8x- 18

8. -x + 4

9. -4.8x + 5.6

10. -1.25x + 0.2

11. 7x-4

12. x + 1.01

13. 6x + 22

I think these are the correct answers. Sorry if I'm wrong. I hope this helped!

Step-by-step explanation:

pls help no scams ty

Answers

Answer:

x < 3

Step-by-step explanation:

Answer:

[tex]\Huge\boxed{x<3}[/tex]

Step-by-step explanation:

Hello There!

to solve we want to isolate the variable (x) by using inverse operations

-4x-8>-20

to get rid of the -8 we add 8 to each side

-8+8 cancels out

-20+8=-12

now we have -4x>-12

now we want to get rid of the -4, to do so we divide each side by -4

-4x/-4=x

-12/-4=3

NOTE: when we divide each side by a negative number we flip the inequality sign so instead of facing the variable (x) it would face the constant

so the answer would be

x<3


I don’t know what to do calculate the surface area for the figure

Answers

Answer:

it is 40!

Step-by-step explanation:

well since area is l x w 13+10=23

and 12+5= 17

Find the volume of a pyramid with a square base, where the side length of the base is
16.1 cm and the height of the pyramid is 10 cm. Round your answer to the nearest
tenth of a cubic centimeter.

Answers

Answer:

864cm^3 used the proper equation.

ASAP HW HELP
if you don’t know answer don’t even comment

Answers

Answer:  [tex]y = \frac{1}{2}x+3[/tex]

This is the same as writing y = (1/2)x + 3

========================================================

Explanation:

Two points on the blue line are (0,3) and (2,4)

To go from the left point to the right, we go up 1 and over to the right 2.

Slope = rise/run = 1/2

Or we can use the slope formula to get the same value

m = (y2-y1)/(x2-x1)

m = (4-3)/(2-0)

m = 1/2

The y intercept is b = 3 because this is the location on the vertical y axis where the blue line crosses. This is the location (0,3).

With m = 1/2 and b = 3, we go from y = mx+b to y = (1/2)x + 3

On a piece of paper, that would look like the equation [tex]y = \frac{1}{2}x + 3[/tex]

Please help me with this! I need this ASAP! Please help!

Answers

Answer:

The 2nd and 3rd boxes are right, that is :-

* 2b is a term

and

* 9 is a constant

Find the missing side. Answer without units

Pls help

Answers

Answer:

3

Step-by-step explanation:

Hope This Helps :)

Plz Mark Brainliest !

For the function f(x) = -3sin(x) + 2, the distance between the maximum and minimum values is 6. Which statement must be true about this function? HINT: It's not B.

A. The amplitude is 3.
B. The midline is y = 3.
C. The period of the function is 3pi.
D. The range is [-3, 3].

Answers

Answer: A. The amplitude is 3.

Step-by-step explanation:

Given function : [tex]f(x) = -3sin(x) + 2[/tex]

Period of a sine function is [tex]2\pi.[/tex]

Since [tex]-1\leq \sin x \leq 1[/tex]

[tex]\Rightarrow\ -3\leq -3\sin x\leq 3\\\\\Rightarrow\ -3+2\leq -3\sin x+2\leq 3+2\\\\\Rightarrow\ -1\leq -3\sin x+2\leq 5[/tex]

i.e. Range is [-1,5]

Amplitude = 3 [coefficient of sin x]

Only option A. is correct.

What is this question ?

Answers

the answer is $625 :)

Which graph represents the solution to (x – 3)2 + (y + 4)2 > 36?

Answers

Answer:

second choice

Step-by-step explanation:

edge

The region outside the circle is under the consideration. Then the correct option is B.

What is an equation of a circle?

A circle can be characterized by its center's location and its radius's length.

Let the center of the considered circle be at the (h,k) coordinate.

Let the radius of the circle be 'r' units.

Then, the equation of that circle would be:

(x – h)² + (y – k)² = r²

The inequality equation of the graph is given below.

(x – 3)² + (y + 4)² > 36

(x – 3)² + (y + 4)² > 6²

From the equation, the radius of the circle will be 6 units and the center of the circle will be (3, –4).

The region outside the circle is under the consideration.

Then the correct option is B.

The graph is given below.

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PLEASE SOLVE AND EXPLAIN !!!

Answers

Answer:

3.46

Step-by-step explanation:

Which is greater than?

.007

1.07

Answers

Answer:

1.07 > 0.007

Step-by-step explanation:

Greater than

Plz mark as brainliest if correct! Have a nice day!!!

-Lil G

Gurwinder is making naan bread. The recipe requires ¾ cup of flour and 1 ⅛ teaspoons of salt. Gurwinder wants to make the recipe using 1 cup of flour.

Answers

Answer:

hi

Step-by-step explanation:

i need your help with math please help

Answers

Answer: 1) y= 9, 4, 1, 0, 1, 4, 9

Step-by-step explanation:

Michael has $68. Craig has $24 less than Michael has. Michael spends $20 on a new hat.

Answers

Answer:

Craig has $44, and Micheal has $48.

Step-by-step explanation:

If Micheal has $68 dollars before he buys a new hat, we have to subtract 24 from Micheal to get the amount of money Craig has. Craig does not buy anything, so his total is $44. Micheal, meanwhile, had 68 but then he buys a $20 hat, which subtracts 20 dollars from his amount. Then, he has 48 dollars. The answers are $44 and $48. Hope this helps!

a D.J. at a school dance plans to play dance music for 2 hours. she has 20 requests for songs. Each song plays for 3 1/2 minutes. if she plays all of the requests. How much time will she have to play other songs?

Answers

So, put 2 hours into minutes. You get 120. Now, seeing how you have 20 song requests, and each one takes 3.5 minutes, multiply those two values. Now you have 70. After doing that, just subtract 70 from 120 and get 50.

tada

answer is 50

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