Answer:
A = 201 cm²
Step-by-step explanation:
We know that the area of a circle can be calculated with the formula:
A = πr² = π(d/2)²
 
with d being the diameter.
Therefore:
A = 3.14(8cm)² = 201 cm²
 
        
                    
             
        
        
        
1) Answer: A
because trangles RST is similar  to VUT as:
<RST=<VUT=55 (Angle)
<RTS=<VTU=90 (it seems right angled)  Angle
So by AA similarity...(two angles similarity is enough)
2) Answer:B
y+z=x because exterior angle of a triangle (which is x) must be equal to sum of non-adjacent (y and z) interior angles.
3) Answer: A should be right choice. Step 1 is wrong here which is,
m<m + m<n + m<p=180 (wrong)
It should be:
m<m + m<n + m<0=180 (right)
 
        
             
        
        
        
Answer:
$0.16
Step-by-step explanation:
unit price = price of carton / number of eggs
unit price = $1.92/12
unit price = $0.16
 
        
             
        
        
        
Answer:
3x^2 (y^5)^1/4 which is the first choice
Explanation:
The fourth root means that the bracket under has the root has a power of 1/4.
So, the given expression is:
(81 * x^8 * y^5)^1/4
Now, we will distribute the power as follows:
(81 * x^8 * y^5)^1/4 = (81)^1/4 * (x^8)^1/4 * (y^5)^1/4
                               = 3 * x^2 * y^5/4
This expression is equivalent to:
3x^2 (y^5)^1/4 which is the first choice
Hope this helps :)