Answer:6.46$
Step-by-step explanation:
A goat is tied at one corner of a 12 feet by 16 feet barn. If the rope is 24 feet long, find the area of the region outside the
barn, in which the goats can graze.
1 answer:
Answer:
1520.5 ft²
Step-by-step explanation:
A diagram can be helpful.
The total area is the sum of ...
3/4 of a circle with radius 24 ft
1/4 of a circle with radius 12 ft
1/4 of a circle with radius 8 feet
__
The area of a whole circle is given by ...
A = πr²
so our grazing area is ...
A = (3/4)π(24 ft)² + (1/4)π(12 ft)² + (1/4)π(8 ft)²
= π(432 ft² +36 ft² +16 ft²) = 484π ft²
A ≈ 1520.5 ft²
You might be interested in
Answer:
Value of the car after x years
Step-by-step explanation:
Exponential functions are generally expressed in the form: and since this function is decreasing, meaning it has an exponential decay, it can be expressed as:
where r=rate of decay.
In this case the a represents the initial value or y-intercept, since when x=0, (1-r)^0 = 1, so we just have y=a(1) or y=a
The r represents the rate of decay
the x usually represents the time in seconds, days, months, or whatever unit is being used
The y value represents the value of whatever your measuring, and in this context it represents the value of the car after x years.
This is because a represents the initial value
After one year it's only 85% worth it's initial value or 15% less which is represented as 0.85(a)
After two years it's only 85% worth the previous year or 15% less the previous year, which is represented as 0.85(0.85(a))
This will continue to decrease the number of years increase