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
romanna [79]
3 years ago
9

A painter leans a 20-ft ladder against a building. The base of the ladder is 12 ft from the building. To the nearest foot, how h

igh on the building does the ladder reach?

Mathematics
2 answers:
Mazyrski [523]3 years ago
7 0
Use Pythagorean Theorem.
a^2 + b^2 = c^2
Substitute the numbers.
12^2 + b^2 = 20^2
144 + b^2 = 400
Subtract 144 from each side.
b^2 = 256
Take square root.
The answer is
b = 16
Mekhanik [1.2K]3 years ago
4 0
<h2>Answer:</h2>

The height of the building to which the ladder reaches is:

                            16 ft.

<h2>Step-by-step explanation:</h2>

We can model this problem with the help of a right angled triangle ΔABC such that the hypotenuse of the triangle is 20-ft and one of it's leg is: 12 ft.

Now we are asked to find the other leg of the triangle.

We will use the Pythagorean Theorem in order to find the other leg.

Pythagorean Theorem says that: If c is the hypotenuse of the right triangle and a and b are it's two legs then,

c^2=a^2+b^2

Hence, here we have:

c=20,\ and\ a=12

So,

20^2=12^2+b^2\\\\i.e.\\\\400=144+b^2\\\\i.e.\\\\b^2=400-144\\\\i.e.\\\\b^2=256\\\\i.e.\\\\b=\pm 16

Since, b can't be negative as it denotes a side of a triangle.

Hence, we get:

b=16

You might be interested in
I need help with math
Bogdan [553]

A. ∠4 is congruent to ∠5; True.

B. Two lines are parallel; True.

C. The measure of ∠6 = 90.5°; False.

D. ∠2 and ∠3; True.

<h3>What are the properties of angles of parallel lines?</h3>
  • On a common plane, two parallel lines do not intersect.
  • As a result, the characteristics of parallel lines with respect to transversals are given below.
  1. Angles that correspond are equal.
  2. Vertical angles are equal to vertically opposite angles.
  3. Interior angles that alternate are equal.
  4. The exterior angles that alternate are equal.

For the give question;

Two line are cut by the transversal.

∠1 =  90.5° and ∠7  =  89.5°

Thus the result for the given statement are-

A. ∠4 is congruent to ∠5 because they are alternate interior angles; True.

B. Two lines are parallel; True.

C. The measure of ∠6 = 90.5°; False.

∠6 = ∠7 =  89.5°.(correct)

D. ∠2 and ∠3 are supplementary because they are same-side exterior Angeles; True.

Thus, the result for the given statement are found.

To know more about the parallel lines, here

brainly.com/question/4954460

#SPJ1

3 0
1 year ago
Which set of numbers may represent the sides of a triangle
Trava [24]

Answer:

C.(6, 4,2)

since every element of B is also an even number,so is an element of C

8 0
3 years ago
What is the 15th term of the sequence 20, 16, 12, 8, 4, ...?
Leviafan [203]

Answer:

C -36

Step-by-step explanation:

8 0
3 years ago
Maria and Jason are saving gas money for their trip to Boston. Maria has saved $20 more than double what Jason has. Combined Mar
valentina_108 [34]

Answer:

$60

Step-by-step explanation:

Jason saved gas money (x).  Maria saved $20 more than double what Jason has (20 + 2x).  Combined, they saved $200.  Solve for x for Jason's amount.

(x) + (20 + 2x) = 200

x + 20 + 2x = 200

3x + 20 = 200

3x + 20 = 200

3x + 20 - 20 = 200 - 20

3x = 180

3x/3 = 180/3

x = 60

Jason saved $60 for this trip.

3 0
3 years ago
Pls help <br> 6th grade math <br> ill be adding brainlist
iren2701 [21]

Answer:

300 is the answer as only 27% is given we calculated of 100%.

4 0
3 years ago
Read 2 more answers
Other questions:
  • Which shows the conversion of 0.427 kg to pounds?
    14·1 answer
  • Which setof numbers could all be reasonably rounded to. 33,100​
    6·2 answers
  • How do I convert this into standard form ? <br> y=-2(x-5)(x+3)
    14·2 answers
  • Find the solution of the recurrence relation an = 3an−1 −3an−2 +an−3 if a0 = 2, a1 = 2, and a2 = 4.
    7·1 answer
  • What is the result of -7+10-(-3)?
    14·2 answers
  • A wheel, which is part of a game at a shopping center is arranged to give 2 tickets 50% of the time, 5 tickets 25% of the time,
    7·1 answer
  • Please help me with my delta math
    15·1 answer
  • Knock Knock Whos there leader of the knockdown thats who!<br><br> Have a fun time with the points!
    12·2 answers
  • Can u help me with these math problems
    15·1 answer
  • A coat costing $135 is marked down 25%.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!