Answer:
201.1 meters squared
Step-by-step explanation:
A= pi*r squared
Diameter= 16, to find the radius we must divide by 2
16/2=8
Radius= 8
A= pi* (8)^2
A= 201.06
The area of the circle is 201.1 meters squared.
 
        
             
        
        
        
Answer:
I think the answer is 432 cubic inches( in^3). Answer is the first option.
 
        
             
        
        
        
For this case we have the following equation:

Let 
We have:

By definition, given an equation of the form 
The quadratic formula, to find the solution can be written as:

In this case we have:

Substituting in the quadratic formula we have:
See attached image
Answer:
Option B
 
        
                    
             
        
        
        
Answer:
a < -4
Step-by-step explanation:
Step 1: Write out inequality
-2a - 5 > 3
Step 2: Add 5 to both sides
-2a > 8
Step 3: Divide both sides by -2
a < -4
Here, we can see that any value of <em>a </em>less than -4 works. So <em>a</em> could be -124 or -5, or even -1271293587923857 and it would work.
 
        
             
        
        
        
Answer:
ΔABD ≅ ΔACD by SAS, therefore;
 by CPCTC
 by CPCTC 
Step-by-step explanation:
The two column proof is presented as follows;
Statement  Reason
                   Reason
ABCD is a trapezoid  Given
  Given
 
   Given
                   Given
 
    Definition of a trapezoid
                   Definition of a trapezoid
ABCD is an isosceles trapezoid   Left and right leg are equal
    Left and right leg are equal
∠BAD ≅ ∠CDA   Base angle of an isosceles trapezoid are congruent
          Base angle of an isosceles trapezoid are congruent
 
    Reflexive property
                  Reflexive property
ΔABD ≅ ΔACD    By SAS rule of congruency
         By SAS rule of congruency
 
    CPCTC
                  CPCTC 
CPCTC; Congruent Parts of Congruent Triangles are Congruent
SAS; Side Angle Side rule of congruency