Volume of the cube with side 4p = 4p x 4p x 4p = 64p³
Volume of the cube with side 2q² = 2q² x 2q² x 2q² = 8q⁶
Total Volume = 64p³ + 8q⁶
Total Volume = (4p)³ + (2q²)³
Total Volume = (4p + 2q²)( ( 4p)² - (4p)(2q²) + (2q²)²)
Total Volume = (4p + 2q²)( 16p² - 8pq² + 4q⁴)
Answer: (4p + 2q²)( 16p² - 8pq² + 4q⁴)
There are two types of cell division: mitosis and meiosis. Most of the time when people refer to “cell division,” they mean mitosis, the process of making new body cells. Meiosis is the type of cell division that creates egg and sperm cells. Mitosis is a fundamental process for life.
Answer:
x > -1.25
Step-by-step explanation:
First, let's start with the left side of the equation.
1) multiply 0.2(x + 20). You will get 0.2x+4
So you have 0.2x+4-3
Simplify that, you will have 0.2x+1
Now, we need to isolate the variable (bring all terms with "x" to one side), and move everything else to another side. Remember that when you bring something to the other side, you must change the sign in front of the term (for example, bringing 2x to another side would change it to -2x. another example is if you were to bring -2 to another side, you would have to change it to 2.)
2) 0.2x+6.2x>-7-1 Moved like terms to one side.
6.4x>-8 I combined the terms here!
x > -1.25 Simplified!
Let me know if you need anything else :)
Use the formula that states that the sum of the angles of an n-sided polygon is given by
S=(n−2)180
0
........(1)
Since we are given that the two angles are right angles and each of the remaining angles is 144
0
, therefore, the sum is:
S=90
0
+90
0
+(n−2)144
0
.........(2)
Therefore setting (2) equal to (1) we get
(n−2)180
0
=90
0
+90
0
+(n−2)144
0
⇒(n−2)180
0
−(n−2)144
0
=180
0
⇒(n−2)(180
0
−144
0
)=180
0
⇒(n−2)(36
0
)=180
0
⇒n−2=
36
180
⇒n−2=5
⇒n=5+2=7
Hence, the polygon has 7 sides.
