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3 years ago

Could someone please help

Mathematics

2 answers:

Mumz [18]3 years ago

6 0

5/2=40/16. You can try to cross multiply by 2 times 40 and dividing by 16 to get 5.

Umnica [9.8K]3 years ago

5 0

Im pretty sure the anwser is 5

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A 29-meter ladder is sliding down a vertical wall so the distance between the top of the ladder and the ground is decreasing at

vitfil [10]

Complete question

A 29-meter ladder is sliding down a vertical wall so the distance between the top of the ladder and the ground is decreasing at 7 meters per minute. At a certain instant, the bottom of the ladder is 21 meters from the wall.

What is the rate of change of the distance between the bottom of the ladder and the wall at that instant(in meters per minute)

Answer:

$\frac{dx}{dt}=11.94m/min$

Step-by-step explanation:

From the question we are told that

Slant height $z=29m$

Change in Vertical height $\triangle y=7m/s$

Horizontal length $x=21$

Generally in finding the distance form the top to the bottom of the wall it is mathematically given by

$x^2+y^2=z^2$

$21^2+y^2=29^2$

$y^2=29^2+21^2$

$y=35.81$

Generally solving for the differential equation is mathematically represented as

$x^2+y^2=29^2$

$2x*\frac{dx}{dt} +2y*\frac{dy}{dt} =0$

$x*\frac{dx}{dt} +y*\frac{dy}{dt} =0$

$(21)*\frac{dx}{dt} +(35.81)*(-7) =0$

$(21)*\frac{dx}{dt} -250.64 =0$

$\frac{dx}{dt}=\frac{250.64}{21}$

$\frac{dx}{dt}=11.94m/min$

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3 years ago

Hest answer = Brainilest

Assoli18 [71]

Answer 116•6 feet

Hope it is helpful

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