Determine all solutions of the equation x^y+y = y^x + x in a setof natural numbers.
1 answer:
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Answer:
The length of the third piece of the ramp is;
D. 9.24 feet
Step-by-step explanation:
The given parameters are;
The height of the ramp = 8 feet
The angle between the piece that forms height and the base = 90°
The angle formed by the third piece connecting the height of the ramp to the furthest point and the 8 foot piece = 30°
Let 'y' represent the 8-foot piece forming the height, and let 'r' represent the third piece, by trigonometric ratio, we have;
Therefore, we get;
The length of the third piece, r ≈ 9.24 feet
Answer:
Option D is correct.
$408.04 the gas would cost for this car to travel 2,727 typical miles
Step-by-step explanation:
Unit rate defined as the rates are expressed as a quantity 1 such as 3 miles per second or 4 kilometer per hour
As per the statement:
A car averages 27 miles per gallon.
⇒
Total distance of car travel typical miles = 2727 miles.
Substitute the given values we have;
It is also given that if gas costs $4.04 per gallon.
then;
In 1 gallon of gas = $4.04
then;
in 101 gallons of gas =
Therefore, $408.04 the gas would cost for this car to travel 2,727 typical miles