1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
gtnhenbr [62]
3 years ago
8

The top of angies ladder is resting against the side of her house 22 feet above the ground.If the base of the ladder is 5 feet f

rom the house what is the slope of the ladder

Mathematics
1 answer:
Andrews [41]3 years ago
3 0

Answer:

Step-by-step explanation:

The attached diagram shows the triangle ABC formed by the ladder with the wall of the house.

Triangle ABC is a right angle triangle. It has a 90 degree angle. The length of the ladder forms the hypotenuse(AC)of the triangle. This length can be determined by applying Pythagoras theorem

Hypotenuse^2 = opposite ^2 + adjacent^2

AC^2 = 22^2 + 5^2

AC^2 = 484 + 25 = 509

AC = √509

AC = 22.56

The slope of the ladder is

(change in y)/(change in x)

Slope = 22/5 = 4.4

You might be interested in
Need help with a system of equations
sweet [91]

Answer:

\boxed{x - y = -2\sqrt{7}}

Given:

x + y = 4 \\  \\  {x}^{2}  +  {y}^{2}  = 22 \\  \\  {x}^{4}  =  {y}^{4}  - 176 \sqrt{7}

Step-by-step explanation:

=  >  {x}^{4}  =  {y}^{4}  - 176 \sqrt{7}  \\  \\  =  >  {x}^{4}  -  {y}^{4}  =  - 176 \sqrt{7}  \\  \\  =  >  {( {x}^{2}) }^{2}  -  { ({y}^{2}) }^{2}  =  - 176 \sqrt{7}  \\  \\  =  > ( {x}^{2}  +  {y}^{2} )( {x}^{2}  -  {y}^{2} ) =  - 176 \sqrt{7}  \\  \\  =  > ( {x}^{2} +  {y}^{2})  (x + y)(x - y) =  - 176 \sqrt{?}  \\  \\  =  > 22 \times 4(x - y) =  - 176 \sqrt{7}  \\  \\  =  > 88(x - y) =  - 176 \sqrt{7}  \\  \\ =  >  x - y =  -  \frac{176 \sqrt{7} }{88}  \\  \\  =  > x - y =  - 2 \sqrt{7}

Identity used:

{x}^{2}  -  {y}^{2} = (x + y)(x - y)

7 0
3 years ago
Read 2 more answers
8. Find the value of x so that line mis parallel to line l. (1 p<br><br> (3x+21)°<br><br> (4x-7)
dybincka [34]

Answer: The value of x is 28.

Step-by-step explanation:

Since line m is parallel to line l.

So, we assume that

(3x+21)° and (4x-7)° are corresponding angles.

And we know that , corresponding angles formed when a transversal cut the  parallel line are equal.

So, they must be equal to each other.

3x+21=4x-7\\\\21+7=4x-3x\\\\28^\circ=x

Hence, the value of x is 28.

6 0
3 years ago
I have to solve for X?
VashaNatasha [74]

yes

95+97 =192

192+x=180

x= -12

4 0
3 years ago
Twice the sum of Paloma's age and 15 is 106. How old is Paloma?
fredd [130]

Answer: 121

Step-by-step explanation:

4 0
2 years ago
Read 2 more answers
Hardest question in world
Morgarella [4.7K]

Answer:

every answer is correct

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
Other questions:
  • What is 178to the nearest hundred
    15·2 answers
  • An irregular parallelogram rotates 360° about the midpoint of its diagonal. How many times does the image of the parallelogram c
    15·1 answer
  • H (t) = –16t 2 + 128t. What is the height of the javelin after 5 seconds?
    14·1 answer
  • Please some one help me with this i don't know how to do these three problems
    12·1 answer
  • Please help!
    6·1 answer
  • Somebody help me fast<br> This is correct?!
    9·1 answer
  • Unit 7 - Mid Unit Assessment - Grade 8
    12·1 answer
  • Find the volume of a right circular cone that has a height of 11.4 in and a base with a radius of 5.1 in. Round your answer to t
    10·2 answers
  • What is the correct answer?
    11·2 answers
  • If there are 10 apples in the fridge and 7 on the table, what is the ratio of apples in the fridge to all the apples?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!