Answer:
55 +48i
Step-by-step explanation:
Complex numbers can be treated as though they were binomials with a variable "i". At the end, any instance of i² can be replaced by -1.
(8 +3i)² = 8² + 2(8)(3i) +(3i)² = 64 +48i -9
= 55 +48i
0.25 ft equals 0.083 yd (0.25/3 ft per yd)
4 ft equals 1.33 yd
200 ft equals 66.6 yd
0.083 x 1.33 x 66.6 = 7.35 cubic yards
add the 2 numbers and divide by 2
so 25 +41 = 66
66/2 = 33
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)
