Answer:
Step-by-step explanation:
- <em>Regular hexagons have a property that cutting off the triangles obtained by joining the midpoints of consecutive sides leaves a hexagon of 3/4 of the area.</em>
This means the area of each hexagon inside out starting from the one with unit area is 4/3 of the previous one.
- 99 ⇒ 1
- 98 ⇒ 1*4/3
- 97 ⇒ 1*(4/3)²
- ...
- 1 ⇒ (4/3)⁹⁹⁻¹
<u>The original hexagon has the area of:</u>
Answer:
The height of the rectangular prism
= 1 1/3 inches
Step-by-step explanation:
The volume of a rectangular prism = Length × Width × Height
From the question:
Length of 5/6 inch
Width of 3 /5 inch.
The volume of the prism is 2 /3 cubic inch.
Find the height of the prism.
Hence:
2/3 = 5/6 × 3/5 × Height
2/3 = 1/2 × Height
Divide both sides by 1/2
Height = 2/3 ÷ 1/2
Height = 2/3 × 2
Height = 4/3 inches = 1 1/3 inches
Therefore, the height of the rectangular prism = 1 1/3 inches
Answer:
14 over 12
Step-by-step explanation:
Answer:
The letter "x" is often used in algebra to mean a value that is not yet known. It is called a "variable" or sometimes an "unknown". In x + 2 = 7, x is a variable, but we can work out its value if we try! A variable doesn't have to be "x", it could be "y", "w" or any letter, name or symbol.
