Answer: 10/117
Step-by-step explanation:
3 distinct letters and 4 distinct nonzero digits
For letters: A → Z = 26 options
For numbers: 1 → 9 = 9 options
As we have 26 options for letters and 9 for numbers and they have to be distinct, for the total of codes we have
Total of codes: 26.25.24.9.8.7.6
For the particular code asked, we have 5 options of vowels and 4 options of even numbers, so
5.25.24.8.7.6.4
probability: <u>5.25.24.8.7.6.4</u> = <u>10</u>
26.25.24.9.8.7.6 117
The central angle of a hexagon is 60°. Dividing it by two will give us 30°. The side opposite to 30° is 2 inches, multiplied by 2 is 4 inches. Thus, each side of the hexagon is 4 inches. Also, the apothem is 2sqrt(3). The area of the figure is calculated through the equation,
A = 0.5aP
where a is apothem and P is perimeter
Substituting,
A = 0.5(2sqrt3)(4 x 6) = 24sqrt3
The answer is approximately 41.57 in².
Answer:
The amount of thermal energy that is generated is 1000 joules.
Step-by-step explanation:
Let consider the person diving into a pool as a closed system, that is, a system with only energy interaction with the surroundings. According to the First Law of Thermodynamics, which is a generalization of the Principle of Energy Conservation, the total energy of the system is neither destroyed, nor created, only transformed. The initial gravitational potential energy is transformed into translational kinetic and thermal energy. That is to say:
Where:
- Gravitational potential energy, measured in joules.
- Translational kinetic energy, measured in joules.
- Thermal energy, measured in joules.
The thermal energy is now cleared:
Given that 
and 
, the amount of thermal energy that is generated is:
The amount of thermal energy that is generated is 1000 joules.
5 and 3 are because with 5 it is 117 and 3 it 195.
