Commutative property
1 answer:
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Answer:
6.95m
Step-by-step explanation:
Answer:
03:24 PM
Step-by-step explanation:
Given
WMTH = Every 12 minutes
WMSU = Every 8 minutes
Required
Determine when they both play the song
To do this, we simply solve for the LCM of 8 and 12
List the factors of 8 and 12
From the above, the least common multiple is 24
This means that the song will be played on both stations 24 minutes after 3:00PM
<em>In other words, 03:24 PM</em>
If we consider "a" as the edge length, and "D" the cube's diagonal, we have that the square cube's diagonal is equal to the edge length's square plus the side diagonal (d) square (Pythagoras theorem)
a² + d² = D²
And since:
d² = a² + a²
Clearing a, we have:
a² = D²-d²
<span>a² = D²-2a²
</span><span>3a² = D²
</span>a = √(<span>D²/3)
</span>
Surface area is equal to 6·a², so the surface area will be 6·(D²/3) = 2D²
The volume is a³, so the volume will be √(D²/3)³ = √(
<span>/3</span>³<span>) = D</span>³/√27
a² + d² = D²
And since:
d² = a² + a²
Clearing a, we have:
a² = D²-d²
<span>a² = D²-2a²
</span><span>3a² = D²
</span>a = √(<span>D²/3)
</span>
Surface area is equal to 6·a², so the surface area will be 6·(D²/3) = 2D²
The volume is a³, so the volume will be √(D²/3)³ = √(