The rate of change of the size of the diagonal is; 25.2 ft/s
By Pythagoras theorem;
The length, l of a diagonal of a rectangle whose sides have lengths x and y is;
In essence; the length of the diagonal is dependent on the length, x and y of the sides.
Therefore;
(dl/dt)² = (dx/dt)² + (dy/dt)²
where;
- (dx/dt) = 19 ft/s
- (dy/dt) = -15 ft/s
Therefore,
(dl/dt)² = 19² + (-15)²
(dl/dt)² = 361 + 225
dl/dt = √586
dl/dt = 25.2
Therefore, the size of the diagonal is changing at a rate of; 25.2 ft/s.
Read more;
brainly.com/question/12559989
We want to solve
Subtract 5 from each side.
Divide each side by 3.
Take natural logs of each side.
Divide each side by 2.
x = 0.9962
Answer: x = 0.996 (nearest thousanth)
Answer:
$1.89
Step-by-step explanation:
1) 8p+3f=$10.39
2) 5p+4f=$10.51
where p represents pencil & f represents folder.
multiply the first equation by 5 and the second equation by 8.
40p+15f=$51.95
40p+32f=$84.08
Subtract
17f=$32.13
f=$32.13/17 =$1.89
