What is 42/3 simplified?
2 answers:
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Answer:
1) c. Use only appliances to do the most important task in the house.
2) b. 112kwh
3) b. 111kwh
Step-by-step explanation:
Energy can be defined as the ability (capacity) to do work and it's measured in Joules. The various forms of energy are solar energy, chemical energy, thermal energy, wind energy, nuclear energy, electrical energy, etc.
Power can be defined as the energy required to do work per unit time.
Mathematically, it is given by the formula;
Energy consumption is the total amount of power used by an electronic device per unit time and it's measured in Watt-hour or Kilowatt-hour.
Mathematically, it is given by the formula;
Generally, the most economic way to lessen electric consumption is by ensuring only the important electrical appliances are used at all times.
2. Given the following data;
Previous reading = 2156 KWh
Present reading = 2268 KWh
To find how many kilowatt-hour was consumed;
Energy consumption = present reading - previous reading
Energy consumption = 2268 - 2156
<em>Energy consumption = 112 KWh</em>
3. Given the following data;
Previous reading = 5512 KWh
Present reading = 5623 KWh
To find the electrical consumption of Falogme Family;
Electrical consumption = present reading - previous reading
Electrical consumption = 5623 - 5512
<em>Electrical consumption = 111 KWh</em>
<h2>Answer:</h2>
4π
<h2>Step-by-step explanation:</h2>As shown in the diagram, triangle XYZ is a right triangle. Therefore, its area (A) is given by:
A = x b x h -------------(i)
Where;
A = 18
b = XZ = base of the triangle
h = YZ = height of the triangle = 6
<em>Substitute these values into equation(i) and solve as follows:</em>
18 =
x b x 6
18 = 3b
<em>Divide through by 3</em>
6 = b
Therefore, b = XZ = 6
<em>Now, assume that the circle is centered at O;</em>
Triangle XOZ is isosceles, therefore the following are true;
(i) |OZ| = |OX|
(ii) XZO = ZXO = 30°
(iii) XOZ + XZO + ZXO = 180° [sum of angles in a triangle]
=> XOZ + 30° + 30° = 180°
=> XOZ + 60° = 180°
=> XOZ = 180° - 60°
=> XOZ = 120°
Therefore we can calculate the radius |OZ| of the circle using sine rule as follows;
|OZ| = 6
The radius of the circle is therefore 6.
<em>Now, let's calculate the length of the arc XZ</em>
The length(L) of an arc is given by;
L = θ / 360 x 2 π r ------------------(ii)
Where;
θ = angle subtended by the arc at the center.
r = radius of the circle.
In our case,
θ = ZOX = 120°
r = |OZ| = 6
Substitute these values into equation (ii) as follows;
L = 120/360 x 2π x 6
L = 4π
Therefore the length of the arc XZ is 4π