There is 2 ways to solve this type of question.
Method 1
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Formula
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a² + b² = c²
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Apply the formula
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(7√2)² + (7√2)² = c²
c² = 98 + 98
c² = 196
c = √196
c = 14
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Ans: The diagonal length is 14cm 
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Method 2
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Identify the triangle
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This is a special triangle
45° - 45° - 90°
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Property of the Angles 
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x - x - x√2
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Find hypotenuse
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Given that the non-hypotenuse is 7√2
Hypotenuse =  (7√2)(√2) 
Hypotenuse =  7 x 2 
Hypotenuse = = 14cm
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Ans: The diagonal length is 14cm 
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Answer:
D to C
Step-by-step explanation:
The radius is half the diameter or the center point to the edge (circumference)
 
        
                    
             
        
        
        
She would make 3.00 dollars
50(10) - 20(10) = (10)(50 - 20) 
500 - 200 = (10 * 30) 
300 = 300 
(10)(50 - 20) = 30(10)
(10 * 30) = 300
300 = 300
 
        
             
        
        
        
Answer:
d
Step-by-step explanation:
the last one of the four
 
        
                    
             
        
        
        
Answer:
(a) 1.5 inches 
(b) 2.5 inches 
(c) 5 inches
Step-by-step explanation:
speed of first turtle = 4 1/2 inches per  minute = 9/2 inches per minute 
speed of the second turtle = 5inches per minute
distance = speed x time 
(a) Distance traveled by first turtle in 3 minutes 
 s = 9/2 x 3 = 13.5 inches 
distance traveled by second turtle in 3 minutes 
s' = 5 x 3 = 15 inches 
So, the gap is 
s'- s = 15 - 13.5 = 1.5 inches 
(b) Distance traveled by first turtle in 5 minutes 
 s = 9/2 x 5 = 22.5 inches 
distance traveled by second turtle in 5 minutes 
s' = 5 x 5 = 25 inches 
So, the gap is 
s'- s = 25 - 22.5 = 2.5 inches 
(c) Distance traveled by first turtle in 10 minutes 
 s = 9/2 x 10 = 45 inches 
distance traveled by second turtle in 10 minutes 
s' = 5 x 10 = 50 inches 
So, the gap is 
s'- s = 50 - 45 = 5 inches