a pelican. starts at 60 feet above sea level.it descends 60 feet to a catch fish. how do I explain it
2 answers:
The Pelican who is 60 feet above sea level is represented by +60.Now, he is trying to catch the fish which is at 0 level, means Sea level because the pelican is trying to catch the fish by descending 60 feet.
To explain this
We will take the help of Integers by representing it on the number line.
We will represent sea level by Integer 0.
⇒60 feet above sea level= +60
⇒60 feet Below = -60
Now,⇒ 60 + (-60)=0
⇒Also, 60 and -60 are additive inverses of each other, when added together yield additive Identity which is "0" for group of Integers.
→0=Sea Level
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Answer:
The length of the diagonal of the cube = √(3 × 10²) = √300 cm
Step-by-step explanation:
* Lets revise the properties of the cube
- It has six equal faces all of them are squares
- It has 12 vertices
- The diagonal of the cube is the line joining two vertices in opposite
faces (look to the attached figure)
- To find the length of the diagonal do that:
# Find the diagonal of the base using Pythagoras theorem
∵ The length of the side of the cube is L
∵ The base is a square
∴ The length of the diagonal d = √(L² + L²) = √(2L²)
- Now use the diagonal of the base and a side of a side face to find the
diagonal of the cube by Pythagoras theorem
∵ d = √(2L²)
∵ The length of the side of the square = L
∴ The length of the diagonal of the cube = √[d² + L²]
∵ d² = [√(2L²)]² = 2L² ⇒ power 2 canceled the square root
∴ The length of the diagonal of the cube = √[2L² + L²] = √(3L²)
* Now lets solve the problem
∵ The length of the side of the square = 10 cm
∴ The length of the diagonal of the cube = √(3 × 10²) = √300 cm
- Note: you can find the length of the diagonal of any cube using
this rule Diagonal = √(3L²)
