Answer: 1/9
Explanation: these types of repeating decimals are equivalent to the fraction that has the number doing the repeating in its numerator and the number 9 in its denominator.
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Answer: 29 feet from across the kitchen to one hole to the other.
$46.46 for both rooms to have carpet
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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Answer:
x√5 = x square root 5
Step-by-step explanation:
√35x^5 ÷ √7x^3 = √(35x^5 / 7x^3)
√(35x^5 / 7x^3) = √(5x^5 / x^3)
√(5x^5 / x^3) = √5x^(5-3) = √5x²
√5x² = x√5
