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
Alexxx [7]
3 years ago
9

Pe

Mathematics
1 answer:
Ludmilka [50]3 years ago
7 0

Answer:

The height of the lamp post is 15 feet ⇒ 1st answer

Step-by-step explanation:

The ladder , the lamp post and the ground formed a right triangle, the length of the ladder is its hypotenuse (l), the height of the lamp post (h) and the horizontal distance on the ground between the base of the ladder and the base of the lamp post (d) are the legs of the triangle

By using Pythagoras Theorem ⇒ <em>the square of the hypotenuse is equal to the sum of the squares of the other two legs</em>

∵ l² = h² + d²

∵ The length of the ladder is 25 feet

∴ l = 25

∵ The ladder is placed 20 feet from the lamp post

- That means the distance between the base of the ladder and

   the base of the lamp post on the ground

∴ d = 20

- Substitute the values of l and d in the Pythagoras formula

∵ (25)² = h² + (20)²

∴ 625 = h² + 400

- Subtract 400 from both sides

∴ 225 = h²

- Take √  for both sides

∴ 15 = h

∴ The height of the lamp post is 15 feet

You might be interested in
An observer for a radar station is located at the origin of a coordinate system. Find the
Korvikt [17]

Answer: 0.4 >-8 /9(8+7)

Sorry if it isn't correct!!

5 0
3 years ago
FINDDD VALUE OF Y!!!!
solmaris [256]

Answer:

The sum of the internal ángles = 360°

(3y+40)°  and  (3x-70°) are suplementary angles = 180°

then:

(3x-70) + (3y+40) + 120 + x = 360     ⇒ first eq.

(3y+40) + (3x-70) = 180      ⇒  second eq

development:

from the first eq.

3x + x + 3y  =  360  + 70 - 40 - 120

4x + 3y = 430 - 160

4x + 3y = 270       ⇒  third eq.

3y = 270 - 4x

y = (270 - 4x) / 3    ⇒  fourth eq.

from the secon eq.:

3y + 3x = 180 + 70 - 40

3y + 3x = 250 - 40

3y + 3x = 210    ⇒  fifth eq.

multiply by -1  the fifth eq and sum with the third eq.

  -3y  - 3x = -210    ⇒   (fifth eq. *-1)

   3y  + 4x = 270

⇒  0   +  x  = 60

x = 60°

from the fourth eq.

y = (270-4x)/3

y = (270-(4*60)) / 3

y = (270 - 240) / 3

y = 30/3

y = 10°

Probe:

from the first eq.

(3x-70) + (3y+40) + 120 + x = 360

3*60 - 70 + 3*10 + 40 + 120 + 60 = 360

180 - 70 + 30 + 40 + 120 + 60 = 360

180 + 30 + 40 + 120 + 60 - 70 = 360

430 - 70 = 360

Answer:

y = 10

7 0
3 years ago
What is -63 divided by 7
FinnZ [79.3K]

Answer:

-9

Step-by-step explanation: a negative multiplied or divided by a positive will give you a negative answer

8 0
3 years ago
Read 2 more answers
Fred bought nine new collectable cards to add to his collection. The next day his dog ate half of his collection.
Anna [14]

Answer:

half

Step-by-step explanation:

6 0
2 years ago
Read 2 more answers
A video game console that is normally priced at 269.99 has been marked down by 33% of its original price. If the sales tax is 8.
larisa86 [58]

Answer:

$5.99

Step-by-step explanation:

I am Majoring in math and Personal Finance

7 0
3 years ago
Other questions:
  • The volume of a gas V held at a constant temperature in a closed container varies inversely with its pressure P. If the volume o
    12·1 answer
  • Find the value(s) of B in the following function, H, if H is continuous over all real numbers.
    7·1 answer
  • I need some help with this.Can someone help me please
    14·2 answers
  • Find the value of x that makes m<br> ||<br> m<br> 150°<br> (3x – 15)°<br> n<br> 5
    5·1 answer
  • Henry has been typing a book report that contains 1250 words. So far he has been typing for 1/4 hour at a rate of 30 words per m
    8·1 answer
  • Find the unknown measure ASAP please....
    8·2 answers
  • HOW DO I DO THIS AND WHERE CAN I LEARN MORE
    12·1 answer
  • I dont understand this problem
    14·1 answer
  • Claudius took out an unsubsidized stafford loan at the beginning of his six-year college career. the loan had a principal of $4,
    11·2 answers
  • At a BurgerFi, the ratio of burgers with Everything on it to burgers with just cheese was 5:3 on Saturday. BurgerFi made a total
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!