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
Mandarinka [93]
3 years ago
6

A ladder 25 feet long is leaning againstthe wall of a house. The base of the ladder ispulled away from the wall at a rate of 2 f

eet per second
(a) How fast is the top of the ladder moving down the wallwhen its base is 7 feet, 15 feet, and 24 feet from the wall?(b) Consider the triangle formed by the side of the house, theladder, and the ground. Find the rate at which the areaof the triangle is changing when the base of the ladder is7 feet from the wall.(c) Find the rate at which the angle between the ladder and thewall of the house is changing when the base of the ladderis 7 feet from the wall

Mathematics
1 answer:
WITCHER [35]3 years ago
6 0

Answer: a) -7/12 ft/s, -20 ft/s, -7 ft/s

              b) 527/24 Ft²/s

              c) 2/25 rad/sec

Step-by-step explanation:

a) b=7 ; a^2+b^2 = 25^2

             a^2+b^2 = 625

Differentiate w.r.t = 2a (da/dt) + 2b ( db/dt) = 0

                                    b(db/dt) = -a(da/dt)

As found from above put a=24 b=7,15 and 24. You will get the reuqired answer.

b) Area of the triangle = 1/2 * b*h

differentiate wrt to time leads to the following relation:

2dA/dt= h(db/dt)+b(dh/dt) \\dA/dt=24-49/24 = 527/24 Ft^2/sec

c) sin (Θ) = b/25

differentiate it again to give

cos(0.284)(d\theta/dt) =  (1/25) (db/dt) \\=2/25 rad/sec

                                 

                               

You might be interested in
Please help I’ll make you the brainiest
lakkis [162]

Answer:

X= 5, -2

Step-by-step explanation:

This would be the answer if you are looking to "solve"

6 0
3 years ago
How can i show 5/8 is greater than 3/8
Serjik [45]
The first answer, using a number line, is a good answer.

I have two other ways:

Way #1:

5 stones is more than 3 stones.
5 gallons is greater than 3 gallons.
5 pounds is greater than 3 pounds.
5 puppies is greater than 3 puppies.
5 hamburgers is greater than 2 hamburgers.
5 schoolbuses is greater than 3 schoolbuses.

We look around us, and we see that 5 of anything
is always greater than 3 of the same thing.

There's no reason that should change if the 'things' are eighths.


Way #2:

-- Get 2 friends to help you.

-- Take one good-size veggie pizza or coconut cream pie.

-- Carefully cut it up in eight (8) equal pieces.
   Now each piece is 1/8 of the pie or the pizza.

-- Give 5 pieces (5/8) to the first friend.
   Give 3 pieces (3/8) to the other friend.

-- Ask them to get together and agree on who has more.

3 0
3 years ago
Read 2 more answers
Find the greatest common factor of the following 45m 6m5
lisabon 2012 [21]
45m 6m^5 usually helps to list the factors of each number first,
1x45=453x15=455x9=45
1x6=62x3=6
so the biggest number that fits into both would be 3, and the biggest amount you can take of any variable would be the amount of that lowest variable. when given an "m" and "m^5", you can only take out one "m", because when m÷m=1, that means you can't take any more "m's" out. if it were m^2 and m^5 you would take out m^2 :)
so your final answer would be"3m" and if you were taking it out of an equation (if you had 45m+/-6m^6)would look like 3m(15+/-2m^4
8 0
3 years ago
If 2x-y equals 120, what are the values of x and y?
krek1111 [17]
X=60 and y=20
x and y can be many things that answers the question to 120
5 0
3 years ago
Read 2 more answers
If h(x) = 6 – x, what is the value of (h circle h) (10)?<br> –4<br> –2<br> 10<br> 16
Ganezh [65]

Answer:

10

Step-by-step explanation:

Here, we want to find the value of ;

h circle h(10)

This mean we are to put h in h, the find the function of 10

we have this as;

6-(6-x)

= 6-6 + x = x

Now, replace the x by 10; so we have h circle h(10)

5 0
3 years ago
Read 2 more answers
Other questions:
  • What is the slope of line m? PLEASE HELP !!!
    9·1 answer
  • I NEED HELP PICTURE PROVIDED!
    9·1 answer
  • Solve the equation algebraically. x^2-7x-1/7=0
    15·1 answer
  • The following polynomial has factors (x + 8) and (3x + 2). Determine the value of k. −6x^3-55x^2+kx−16
    5·1 answer
  • Please anwser im having the hardest time on this picture
    8·2 answers
  • .............I need help thnx
    6·2 answers
  • Simplify the expression 8h +(-7.7d) - 13+5d - 3.1h.
    10·1 answer
  • After a teacher handed out m packs of notebooks with c notebooks in each pack
    14·1 answer
  • Five and three sixths minus two and one third
    15·1 answer
  • Match the terms to their correct definitions.
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!