Answer:
A) 264 ft^2, 4 gallons
Step-by-step explanation:
Area of rectangle = 12 ft x 18 ft = 216 ft^2
Area of triangle = 1/2 (28- 18)(12) = 1/2(10)(12) = 60 ft^2
Area of window: 3 ft x 4 ft = 12 ft^2
Areas will be painting = (216 + 60) - 12 = 264 ft^2
1 gallon of paint will cover 70 ft^2 so 264 ft^2 / 70 ft^2 = 3.77 gallons
So Mr. Williams will need 4 gallons of paint to cover 264 square feet of his barn
Answer:
ΔT = ΔT0 e^-K T
As I understand Newton's Law of Cooling
ΔT at any time is the difference between the temperature and the surroundings
Originally ΔT0 = 95 - 22 difference between 95 and room temperature
65 - 22 = 33 = 73 e^-KT where t is time to cool to 65 deg
ln (33/73) = -KT K = .794 / 5 = .159 where 5 is time to cool to 65 deg
40 - 22 = 73 e^-.159 T where t is time to cool to 40 deg
18 = 73 e^-.159 T
ln (18 / 73) = -.159 T
T = 8.8 min
It would take 8.8 min for the object to cool to 40 deg C
Suppose the object cooled from 95 to 90 deg, then
ln 68 / 73 = -.159 T and T = .45 min
The answer is (c). The picture shows that all of the angles and sides are equal, meaning that it's both equilateral and equiangular.
Answer:
3x>12 2x/3 ≤ 6
3x>12, x = 4 2x/3, x = 2 ≤ 6
