Answer:
surface area of the cube is 96m² and the volume is 64m³
Step-by-step explanation:
Surface area of the cube = 6x²
x is the side length
Given
x = 4metres
Surface area of the cube = 6(4)²
Surface area of the cube = 6(16)
Surface area of the cube = 96m²
Volume of the cube = x³
Volume of the cube = 4³
Volume of the cube = 64m³
Hence the surface area of the cube is 96m² and the volume is 64m³
Answer:
see attached
Step-by-step explanation:
Perhaps you want to show that P∨Q will be equal to Q when ¬P is true. Attached is a truth table that shows this is the case.
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This is simply a restatement of the logic of the OR function. When one its inputs is a logical 0 (false), the output depends on the other input(s).
I hope this helps you
-8x+2. (4x+6)@=12
-8x+8x+12=12
12=12
0=0
I think the width is 13 and the length is 12
Answer: Elizabeth and Manuel have a distance of 4 meters between them.
Step-by-step explanation: Please refer to the picture attached.
From the information given, Elizabeth is directly behind Hannah and directly left of Manuel. That means we have three points which are HEM, that is, we now have triangle HEM. The longest side (hypotenuse) which is the distance between Hannah and Manuel is given as 5 meters while the other side the distance between Hannah and Elizabeth is given as 3 meters.
We shall apply the pythagoras theorem in solving for the unknown side, EM.
The Pythagoras theorem states thus;
AC² = AB² + BC²
Where AC is the hypotenuse, and AB and BC are the other two sides.
Substituting for the known values, we now have;
5² = 3² + EM²
25 = 9 + EM²
Subtract 9 from both sides of the equation
16 = EM²
Add the square root sign to both sides of the equation
√16 = √EM²
4 = EM
Therefore the distance between Elizabeth and Manuel is 4 meters