This is an equation that calculates potential energy and converts the value into its commercial unit.
<u>Step-by-step explanation:</u>
Step 1:
Given equation is 2 kg × 9.81 m/s² × 40 m. From the units, find the corresponding measurements. kg is the unit of mass (m), 9.81 m/s² is the acceleration due to gravity (g) and m is the unit of length or height (h).
This shows that this equation is to find potential energy. It is then converted into the commercial unit of energy (Joules).
⇒ Potential Energy = mgh = 2 kg × 9.81 m/s² × 40 m
= 784.8 kg m²/s²
= 784.8 N-m (Since unit of force, 1 N=kg m/s²)
= 784.8 J (1 Newton-m = 1 Joule)
Answer:
The surface area is 13.08 and the volume is 3.14
Step-by-step explanation:
You can make an equation for each situation where x is the number of bags and y is equal to the total number of oranges.
5x + 1 = y
4x + 3 = y
With substitution: 5x + 1 = 4x + 3
Solve for x.
5x - 2 = 4x
x - 2 = 0
x = 2
There is 2 bags, so plug that into either equation:
4x + 3 = y
y = 4*2 + 3
y = 11 oranges
The x-intercept is present where y = 0
2x + 5y - 10 = 0
2x - 10 = -5y
2x - 10 = -5(0)
2x = 10
x = 5
The y-intercept is present where x = 0
2x + 5y = 10
2x + 5y - 10 = 0
5y - 10 = -2(0)
5y = 10
y = 2
