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
EastWind [94]
3 years ago
9

A 25-foot ladder is placed against a building. The bottom of the ladder is 7 feet from the building. If the top of the ladder sl

ips down 4 feet, how mant feet will the bottom slide out?

Mathematics
1 answer:
algol [13]3 years ago
6 0

Answer:

As per the statement:

A 25-foot ladder is placed against a building. The bottom of the ladder is 7 feet from the building.

⇒Length of the ladder against a building = 25 foot

and Length of the bottom of the ladder from the building= 7 feet.

You had Before the slip.

Let x be the height of the building where ladder hits the building

By Pythagoras theorem:

\text{Hypotenuse side}^2=\text{Perpendicular}^2+\text{Base}^2

Here, Perpendicular side = Height of the building = x ,  Base = Length of the bottom of the ladder from the building = 7 foot and Hypotenuse side = 25 foot

Substitute the value to solve for x;

25^2=x^2+7^2

625=x^2+49

or

x^2 = 625-49 = 576

x = \sqrt{576} = 24 foot.

⇒Height of the building = 24 foot

Now, if the ladder slips down 4 feet.

You had after slip

⇒Now, the height of the building becomes = 24-4 = 20 foot.

Let y be the distance from the building wall

then by Pythagoras theorem;

y^2+20^2 = 25^2

y^2+400 =625

y^2 = 625-400 = 225

y=\sqrt{225} = 15 foot.

We have to find how many feet will the bottom slide out.

Since, Originally the distance of the bottom from the building = 7 foot

And now, the distance is = 15 foot.

The bottom slide out will be = 15 - 7 =8 foot

Therefore, 8 feet will the bottom slide out

You might be interested in
6. A population of Florida fire ants grows at a rate of 8% a year. If there are 320 fire ants in
Vlada [557]

Answer: 1920

Step-by-step explanation:

3 0
3 years ago
Can you please help me with the questions I will give you brainliest.
KiRa [710]

Answer:

C the First page

Step-by-step explanation:

1) you input the 2 into the T So the equation would look like this

15+2.5*(times) 2

2) I'm not sure for the second

3) A because you are using the number given then multiplying.

1.58* times 5 = 7.5

But the starting number would be 1.5 sense that's  the first number given

No one report me please.

8 0
3 years ago
Solve the equation for the specified variable.<br> T= BA-9, for B<br> What does b=
NARA [144]

9514 1404 393

Answer:

  B=\dfrac{T+9}{A}

Step-by-step explanation:

Add 9 to both sides of the equation, and divide by the coefficient of B.

  T = BA -9

  T +9 = BA

  (T +9)/A = B

We can rewrite that with B on the left:

  B = (T +9)/A

4 0
3 years ago
6 points Emily’s family needs to rent a moving truck to move their belongings to a different house. The rental cost for Trucks-A
Alexxx [7]

Answer/Step-by-step explanation:

Equation to represent the daily rental cost for each type of truck can be written as follows:

Daily rental cost for Trucks-A-Lot = 42 + 0.72m

Daily rental cost for Move-in-Truckers = 70 + 0.12m

Where, m = Emily's mileage

To determine the number of miles for which the truck cost the same amount, set both equations equal to each other and solve for m.

42 + 0.72m = 70 + 0.12m

Collect like terms

0.72m - 0.12m = 70 - 42

0.6m = 28

Divide both sides by 0.6

\frac{0.6m}{0.6} = \frac{28}{0.6}

m = 46.7

At approximately 47 miles, both trucks would cost the same amount.

Check:

Daily rental cost for Trucks-A-Lot = 42 + 0.72m

Plug in the value of x = 47

= 42 + 0.72(47) = $75.84 ≈ $76

Daily rental cost for Move-in-Truckers = 70 + 0.12m

Plug in the value of x = 47

= 70 + 0.12(47) = $75.64 ≈ $76

7 0
3 years ago
Tell me the answer<br>69:?::89:36​
Scrat [10]

?????????????????????????????????????

7 0
3 years ago
Other questions:
  • I will give brainly!!!!
    9·2 answers
  • Graph the line.<br> y = -5x + 2
    6·1 answer
  • Match the following terms with their definitions..
    14·1 answer
  • 2xГ3+7x<br> ________<br> Г6x
    13·1 answer
  • Suppose 17% of the listeners of a radio station listen to it while they work. What is the approximate standard deviation of the
    11·1 answer
  • Alex swims at an average speed of 45 meters per minute. How far does he swim in 1 minute and 24 seconds?
    6·1 answer
  • Hurry plzzz...Which of the following does NOT represent a way to determine if something is a
    8·2 answers
  • PLEASE HELP !! DUE SOON GEOMETRY
    15·2 answers
  • In a mid-size company in Philadelphia, the distribution of the number of phone calls answered each day by each of the 12 recepti
    8·1 answer
  • Identify the domain of the function shown in the graph
    7·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!