Answer:
x = -11
Step-by-step explanation:
0.2(20x + 10) = -42
4x + 2 = -42 Distribute 0.2 to the numbers in the paranthesis
4x = -44 Add 2 to both sides
x = -11 Divide 4 from both sides
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:
brainly.com/question/796939
#SPJ1
Answer:
0.77 M
Step-by-step explanation:
I'm going to assume this is a half-circle
Formula:
A = (πr^2)/ 2
D = 1.4
r = 0.7
A = (π 0.7^2)/2
A = (0.49π)/2
A = 0.7693
A = 0.77
1.666666, any decimal or number that is repeating can be written in a/b format and b not equal zero is rational. Repeating decimals can be considered rational because they can be represented as a ratio of two integers.
