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
miv72 [106K]
3 years ago
6

A 4 metre ladder is placed against a vertical wall.

Mathematics
1 answer:
Black_prince [1.1K]3 years ago
4 0

Answer:

Original position: base is 1.5 meters away from the wall and the vertical distance from the top end to the ground let it be y and length of the ladder be L.

Step-by-step explanation:

By pythagorean theorem, L^2=y^2+(1.5)^2=y^2+2.25 Eq1.

Final position: base is 2 meters away, and the vertical distance from top end to the ground is y - 0.25 because it falls down the wall 0.25 meters and length of the ladder is also L.

By pythagorean theorem, L^2=(y -0.25)^2+(2)^2=y^2–0.5y+ 0.0625+4=y^2–0.5y+4.0625 Eq 2.

Equating both Eq 1 and Eq 2: y^2+2.25=y^2–0.5y+4.0625

y^2-y^2+0.5y+2.25–4.0625=0

0.5y- 1.8125=0

0.5y=1.8125

y=1.8125/0.5= 3.625

Using Eq 1: L^2=(3.625)^2+2.25=15.390625, L=(15.390625)^1/2= 3.92 meters length of ladder

Using Eq 2: L^2=(3.625)^2–0.5(3.625)+4.0625

L^2=13.140625–0.90625+4.0615=15.390625

L= (15.390625)^1/2= 3.92 meters length of ladder

<em>hope it helps...</em>

<em>correct me if I'm wrong...</em>

You might be interested in
The sum of y and 20 is more than 50
miss Akunina [59]
<span>20 + y > 50 Theres your answer</span>
3 0
3 years ago
Read 2 more answers
If Jane is not maximizing her utility with the original purchase combination, remembering the Law of Diminishing Marginal Utilit
gayaneshka [121]

Answer:

Using the Law of Diminishing Marginal Utility, Jane would not be better off buying one more fry, since the marginal utility she obtains from the fries are lower when compared to the chicken sandwich; therefore, she would be better off ordering another chicken sandwich

4 0
2 years ago
What is 9 times 52 using mental math property
arsen [322]
Everyone works differently in mental meth.

To calculate 9*52, we note that 9=10-1, so mentally calculate
9(52)
=(10-1)(52)
=520-52   [ subtract 20 from each number]
=(520-20)-(52-20)  
=500-32
=468.

Alternatively,
9*52=9*50+9*2=450+18=468

If  you're good with multiplication and division,
9*52=3*3(52)=3*156=450+18=468


3 0
3 years ago
What is 3<br> /6converted to a decimal
drek231 [11]

Answer:

3/6 converted to a decimal would be 0.5

Step-by-step explanation:

Hope this helps. :)

5 0
3 years ago
The tile along the edge of a triangular community pool needs to be replaced.
Gre4nikov [31]

Answer:

Third option: 12x^2+8x+25

Step-by-step explanation:

s1=8x^2

s2=4x^2+15

s3=8x+10

Total perimeter of the pool edge: P

P=s1+s2+s3

Replacing s1, s2 and s3 in the formula above:

P=(8x^2)+(4x^2+15)+(8x+10)

P=8x^2+4x^2+15+8x+10

Adding like terms:

P=12x^2+8x+25

6 0
3 years ago
Read 2 more answers
Other questions:
  • The cost for a certain music plan is $9.99 per year plus $0.25 per song you downloaded. If you paid $113.74 one year, find the n
    6·2 answers
  • Which points are the best approximations of the relative maximum and minimum of the function?
    8·2 answers
  • Find the value of y. Express in simplest radical form.
    5·1 answer
  • Herb, an electric gardener and mathematician, wants to create a trapezoidal flower bed; he wants to dedicate 36 square feet of h
    9·1 answer
  • This Question: 4 pts
    13·1 answer
  • If 4w = 12, what is the value of 5w + 10?
    9·1 answer
  • Can someone help me with this question ASAP!
    5·1 answer
  • 3. What is 5⅕% of 325?
    11·1 answer
  • ∠A and \angle B∠B are supplementary angles. If m\angle A=(7x+24)^{\circ}∠A=(7x+24) ∘ and m\angle B=(7x-26)^{\circ}∠B=(7x−26) ∘ ,
    12·1 answer
  • PLS HELP- please look at the picture below
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!