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.
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The only factors that equal 62 are
62 • 1 = 62
and
31 • 2 = 62.
Hope this helps!
96 necklaces
You divide the amount of beads total by the amount of beads on each necklace.
( 8160 divided by 85 and 2880 by 30)
Okay so i got the answer of -2 × 6. Hope this helps!
You will travel 4 km in 10 minutes. 24km/hr is 24/60 so you would reduce it down to 4/10. so 4km