Answer:
see explanation
Step-by-step explanation:
Given A is directly proportional to r² then the equation relating them is
A = kr² ← k is the constant of proportion
To find k use the condition when r = 5, A = 75 , then
75 = k × 5² = 25k ( divide both sides by 25 )
3 = k
A = 3r² ← equation of proportion
(a)
when r = 4, then
A = 3 × 4² = 3 × 16 = 48
(b)
when A = 147 , then
147 = 3r² ( divide both sides by 3 )
49 = r² ( take the square root of both sides )
r = 
 = 7
 
        
             
        
        
        
Answer:
1 3/10
Step-by-step explanation:
Find the common denominator.
6/15 times 2
12/30
3/10 times 3
9/30
3/5 times 6
18/30
Add.
12/30 + 9/30 + 18/30 = 39/30
Simplify
13/10 = 1 3/10
 
        
             
        
        
        
Answer:
2,600,000
Step-by-step explanation:
To determine the number of license plate that can be made with one letter and 5 digits;
Number of English alphabet = 26
Number of digits from 0 to 9 = 10
Each letter have 26 possible options and each digit have 10 possible options.
Number of license plate that can be made is;
N = 26 × 10^5
N = 2600000
 
        
             
        
        
        
The scale factor is 3 because the units of segments are given equally to us.