If the top slips down the wall at a rate of 2 ft/s, then 3.476 ft/s fast the foot will be moving away from the wall when the top is 10 feet above the ground.
In the given question, a 15 foot ladder is leaning against a wall. if the top slips down the wall at a rate of 2 ft/s.
We have to find how fast will the foot be moving away from the wall when the top is 10 feet above the ground.
As given, 15ft ladder dy/dt= -2y=13ft
Let the length be x and height be y
So from the Pythagorean theorem
x^2+y^2=h^2
Now apply the above formula to get the value
x^2+y^2=15^2
Take the derivative with respect to time
2x * dx/dt+2y*dy/dt=0
dx/dt= -y/x *dy/dt
When y = 13
then x^2+13^2=15^2
x = 7.48
dx/dt= -13/748 * (- 2)
dx/dt= 3.476 ft/s
Hence, if the top slips down the wall at a rate of 2 ft/s, 3.476 ft/s fast will the foot be moving away from the wall when the top is 10 feet above the ground.
To learn more about Pythagorean theorem link is here
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Answer:
Option (A).
Step-by-step explanation:
Statements Reasons
1). Draw a line ZY parallel to PQ 1).Construction
2). m∠ZRP + m∠PRQ + m∠QRY = 180° 2). Angle addition postulate
3). ∠ZRP ≅ ∠RPQ 3). Alternate interior angles theorem
4). ∠QRY ≅ ∠PQR 4). Alternate angle theorem
5). m∠RPQ + m∠PRQ + m∠PQR =m∠ZRY 5). Substitution
6). m∠ZRY = 180° 6). Definition of supplementary angles
7). m∠RPQ+m∠PRQ+m∠PQR = 180° 7). Substitution
Here reason of statement (6) is incorrect.
m∠ZRY = 180°, because angle ZRY is a straight angle not a supplementary angle.
Therefore, Option (A) will be the answer.
Answer:
$1400
Step-by-step explanation:
$35,000 ×12 ÷ 100 = $4200
$4200 × 8 = $33,600
$35,000 - $33,600 = $1400
Therefore the value of the car will be $1400
Answer:
7/2
Step-by-step explanation:
Firstly lets put them all in common denominators (LCM) 3,2,4 and 8 re all divided by 24.
17/8 x 3/3 = 51/24
7/2 x 12/12 = 84/24
9/4 x 6/6=54/24
10/3 x 8/8= 80/24
Now lets see which one is greatest: 7/2 or 84/24
Hope this helps :D
Answer:
yeah
Step-by-step explanation:
1 + 1 = 2