The value of the resistor that must be connected in parallel is 57.47 ohms
<h3>How to determine the resistor connected across the 230 V supply</h3>
- Voltage (V) = 230 V
- Current (I) = 12 A
- Resistor 1 (R₁) =?
V = IR
230 = 12 × R₁
Divide both sides by 12
R₁ = 230 / 12
R₁ = 19.17 ohms
<h3>How to determine the total resistance</h3>
- Voltage (V) = 230 V
- Current (I) = 16 A
- Total resistance (Rₜ) =?
V = IR
230 = 16 × Rₜ
Divide both sides by 12
Rₜ = 230 / 16
Rₜ = 14.375 ohms
<h3>How to determine the resistor connected in paralle</h3>
- Resistor 1 (R₁) = 19.17 ohms
- Total resistance (Rₜ) = 14.375 ohms
- Resistor 2 (R₂) = ?
1/Rₜ = 1/R₁ + 1/R₂
Collect like terms
1/R₂ = 1/Rₜ - 1/R₁
R₂ = (Rₜ × R₁) / (R₁ - Rₜ)
R₂ = (14.375 × 19.17) / (19.17 - 14.375)
R₂ = 57.47 ohms
Learn more about Ohm's law:
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7 because it is within a week according to my guest
Answer:
C
Step-by-step explanation:
There isnt infinite because there is an answer of 19, and only so many whole numbers can add up to 19
There isnt 1 because 11+8 and 5+14 both equal 19
Answer:
3 cars
Step-by-step explanation:
If 12 cars are needed to carry 36 students,
<em>12</em><em>c</em><em>a</em><em>r</em><em>s</em><em> = 36</em>
the number of cars to carry 9 students will be:
xcars = 9
cross the two equations
36x = 12 X 9
36x = 108
x = 108/36
x= 3
Therefore, 3 cars are needed to carry 9 students
OR
12 cars will carry 36 students
so 1 car will carry, (36/12)students
therefore, 1 car will carry 3 students
So, for 9 students,
9students = 9/3 = 3
Given:
Volume of a cube = 27,000 in^3
(Note: A cube has equal sides)
The volume of a cube = a^3
So,
![\begin{gathered} 27000=a^3 \\ \sqrt[3]{27000}\text{ = a} \\ a\text{ = 30 in.} \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%2027000%3Da%5E3%20%5C%5C%20%5Csqrt%5B3%5D%7B27000%7D%5Ctext%7B%20%3D%20a%7D%20%5C%5C%20a%5Ctext%7B%20%3D%2030%20in.%7D%20%5Cend%7Bgathered%7D)
Therefore, the lenght of one side is 30 inches.
