Answer:
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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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The shape which describe the shape of the sandbox is "A quadrilateral, because angle c and angle x are acute."
<h3>
What is Quadrilateral?</h3>
A quadrilateral is a four-sided polygon, having four edges and four corners.
Here, Diagonal = 14 ft.
Length = 12 ft.
Width = 8 ft.
14² = 196, 12² = 144, 8² = 64
8² + 12² ≠ 14²
so it is not a rectangle.
Now, 14² < 12² + 8²
this condition does not occur in rectangle, so it will be a quadrilateral and here sum of square of two adjacent side is greater than the square of third side (Diagonal). So that is an acute angle.
From this situation we can conclude that:
Thus, the shape which describe the shape of the sandbox is "A quadrilateral, because angle c and angle x are acute."
Learn more about Quadrilateral from:
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Which part are you stuck on
180-65=115°
that's the answer