Answer:
The area of the pentagon is approximately 21 square units
Step-by-step explanation:
The radius of the circle in which the regular pentagon is inscribed, r = 3
The area of a pentagon, 'A', inscribed in a circle with radius, r is given as follows;
A = 5×(1/2) ×2×r·sin(32°)×r·cos(32°) = (5/2)×r²×sin(72°)
Therefore, the area of the pentagon, A = (5/2)×3²×sin(72°) ≈ 21.3987716166 ≈ 21
The area of the pentagon, A ≈ 21 square units.
The Greatest Common Factor (GCF) is very important when factoring. Later on, you will forget to pull out a GCF and the answer will be wrong. Always look for a GCF before doing anything.
Let's try factoring these:
a.) 
The greatest common factor of this expression is 9, because it is the maximum number that both can go into. Let's solve.

This is the simplest this expression can get. This would be your final answer. Let's try the other one.
b.) 
The GCF of this one is 12. Let's simplify it.

This is also the simplest you can get it. You can do nothing further. So, your final answers are:
a.) 
b.) 
Answer:
See below ↓↓
Step-by-step explanation:
<u>Finding the radius</u>
- C = 2πr
- 25 = 2 x 3.14 x r
- r = 25 / 6.28
- r = 3.98 cm ≅ 4 cm
<u />
<u>Surface Area</u>
- 4πr²
- 4 x 3.14 x 4 x 4
- 3.14 x 64
- 200.96
- <u>201 cm²</u>
<u></u>
<u>Volume</u>
- 4/3πr³ = 4πr² x r/3
- 201 x 4/3
- 67 x 4
- <u>268 cm³</u>
Answer:
volume of cube share box = 67.92 inch²
Step-by-step explanation:
given data
soccer ball volume = 85.3π cubic inches
solution
we know that ball will fit inside the box when box length will be equal to diameter of ball
and here soccer ball volume will be express as
soccer ball volume =
.................1
85.3π =
solve it we get
r³ = 69.9765
r = 4.12 inch
so diameter = 2 × 4.12 = 8.24 inch
diameter = length of box side
volume of cube share box = a²
volume of cube share box = 8.24²
volume of cube share box = 67.92 inch²
Answer:
2
Step-by-step explanation: