The greatest common factor (GCF) of 35, 38, and 42 is 1.
There are no common prime numbers, so the GCF is 1.
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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Triangle B can be proven congruent
Answer: 15%
Step-by-step explanation:
They gave their server $8.79 and their total bill was $58.60.
The question wants to know how much percentage of the total bill the tip they gave is:
= Tip / Total bill * 100%
= 8.79 / 58.60 * 100%
= 15%
