Answer:
Area of the region = 15.03 in²
Step-by-step explanation:
Area of region between a regular hexagon with sides 6" and circle inscribed.
So Area of region = Area of regular hexagon - area of circle
Now area of regular hexagon = 
where a = side of the hexagon = 6"
Now area of regular hexagon = 
= 93.53 square in.
Area of circle inscribed = πr²
Here r is the radius of the circle = 
r = 5"
So area of the inscribed circle = π(5)² = 3.14(25) = 78.5 square in.
Now area of region = 93.53 - 78.5 = 15.03 in²
Answer:
9,000
Step-by-step explanation:
the 9 is in the thousands place
( just turn every digit after it into a 0)
The exclamation points mean factorial which is when you multiply that number along with the numbers less than it. Ex: 4! = 4*3*2*1. To solve this, you must get those factorials and after you solve, you get 60480
Answer:
Step-by-step explanation:
Volume of a rectangular prism is length × height × width
Length=7 1/2
Width= 15 1/2
Height=12
Volume of the prism is therefore:
7 1/2×12×15 1/2= 1395cm3
No of cubes with edge length 1/2 to fit into the prism will be:
Volume of cube is L*W*H
1/2*1/2*1/2= 1/8cm3
Therefore the no of cubes to fit into the Prism will be:
1395/(1/8)= 11160 cubes.
If one was stuck,the number of 1/2 edge length cube to fit into 1cm will be:
1/(1/8)= 8 cubes
