Answer:
24.9π
Step-by-step explanation:
Curcle Area=πR^2
A= πR^2 × 140°/360°
A= π×8^2 × 0.389 =~ 78.15
Answer:
6 I think
Step-by-step explanation:
7 + 5(x - 3) = 22
7 + 5x - 15 = 22
7 + 5x = 37
5x = 30
x = 6
{ 6 }
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 1st , 3rd , 5th and 6th apply