The question is "What is the scale of the model to the actual statue"
That means you must put 2/15.
2 being the model
15 being the actual statue
Take that fraction and equal is to 1/x.
Multiply 15 to 1 and 2 to x.
In the end, to solve, you divide 15 by 2x.
The answer is X=7.5
1 : 7.5
The answer is (2b+1)(3b-4)
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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