*I am assuming that the hexagons in all questions are regular and the triangle in (24) is equilateral*
(21)
Area of a Regular Hexagon: square units
(22)
Similar to (21)
Area = square units
(23)
For this case, we will have to consider the relation between the side and inradius of the hexagon. Since, a hexagon is basically a combination of six equilateral triangles, the inradius of the hexagon is basically the altitude of one of the six equilateral triangles. The relation between altitude of an equilateral triangle and its side is given by:
Hence, area of the hexagon will be: square units
(24)
Given is the inradius of an equilateral triangle.
Substituting the value of inradius and calculating the length of the side of the equilateral triangle:
Side = 16 units
Area of equilateral triangle = square units
Answer: His mom's age is 48
Step-by-step explanation: If his age is 1/4 his mother, then if we know his age, we do the opposite. Multiply his age by 4, we get 48.
1,099= 1,100
HOPE THIS HELPS!!!
Answer:
Volume of one cube shaped block is, 0.125 cubic feet
Step-by-step explanation:
Volume of a cube(V) is given by:
.....[1]
where a is the edge length of the cube.
As per the statement:
Cube-shaped blocks are packed into a cube-shaped storage container. The edge of the storage container is 2 1/2 feet.
⇒
It is also given that:
The edge length of each block is 1/5 the edge length of the storage container
⇒
Substitute this in [1] we have;
Therefore, volume, in cubic feet, of one cube-shaped block is, 0.125