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
NikAS [45]
3 years ago
12

a 9ft ladder is placed 4.5 feet from the base of a wall. How high up will the ladder reach? Round to the nearest hundredth.

Mathematics
1 answer:
spin [16.1K]3 years ago
7 0

Answer:

\huge\boxed{7.79 \ \text{feet}}

Step-by-step explanation:

We know that we have a 9 foot long ladder resting upon a wall, with an unknown height, but the ladder is 4.5 feet away from the wall.

This can be represented as a triangle, where x is the unknown side.

    |\

    |  \

x   |    \      9

    |      \

    |        \                  

    |_____\

    4.5

We can use The Pythagorean Theorem to find the value of x. The theorem states that a^2+b^2=c^2, where a and b are the lengths of the legs and c is the length of the hypotenuse.

However, we already know the hypotenuse and one leg. Therefore we can substitute inside the equation to find the missing value.

a^2 + 4.5^2 = 9^2\\\\a^2 + 20.25 = 81\\\\a^2 = 60.75\\\\a \approx 7.79

Hope this helped!

You might be interested in
-4=^8x-3 please help
spayn [35]

Answer:

uhm whats the carrot for. that cant be the problem

Step-by-step explanation:

4 0
3 years ago
What is the slope of the line with the points (3,5) and (6,4)
Bumek [7]

Answer:

The slope is -1/3

Step-by-step explanation:

(y2-y1)/(x2-x1)

(4-5)/(6-3)

-1/3

8 0
2 years ago
If there are 300 seventh graders, and 80% passed the benchmark, how many passed the benchmark
notsponge [240]

Answer:

240 seventh graders passed

Step-by-step explanation:

300 x 0.8 = 240

7 0
2 years ago
Which operation flips the graph of a function over the x-axis
AlladinOne [14]
Multiplying by the function of -1
8 0
2 years ago
Solve for x<br> 4- (2x + 4) = 5
kaheart [24]

Answer:

x= -5/2

Step-by-step explanation:

4 - (2x+4)=5

4-2x-4=5

-2x=5

x=-5/2

4 0
2 years ago
Other questions:
  • Jerry is planting white daisies and red tulips in his garden and he wants to choose a pattern in which the tulips surround the d
    9·1 answer
  • Which of the ordered pairs is a solution to the system of inequalities? y &gt; 5 y ≥ x (0, 0) (4, 5) (-5, 4) (-5, 6)
    5·1 answer
  • Consider the geometric sequence 4, 40, 400, 4000, ...
    8·1 answer
  • Which decimal equal to six-tenhths? 0.6 0.15 0.2 0.3 0.4
    12·1 answer
  • A circle has the diameter of 9 5/8 in what is the radius of the circle?
    11·1 answer
  • On a $500 loan, Carla paid $60 interest at a rate of 8%. How long did she have the loan?
    10·1 answer
  • Which of the following equations represents a horizontal line through (5,-3)?
    6·2 answers
  • Enter the x-coordinate of the solution to this system of equations
    8·1 answer
  • What's the equivalent expression of 2(4x+1)​
    11·1 answer
  • A patient is to take 7 mL of amoxicillin 250 mg/5 mL. How many milligrams?
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!