We can check each of these using the Pythagorean Theorem,

Option A:

.25 + 1.44 = 1.691.69 = 1.69
This option works
Option B

1 + 4 = 9
5 ≠ 9
This option does not work, but let's check the others to make sure
Option C:

36 + 64 = 100
100 = 100
This option works
Option D:

9 + 16 = 25
25 = 25
This option works
So, after doing the calculations, we see that option B does not work
Answer:
Number of minutes per lap = 2.25 minute
Number of lap per minute = 0.444 lap (Approx)
Time taken for 15 lap = 33.75 minutes
Step-by-step explanation:
Given:
Number of laps = 4
Time taken = 9 min
Computation:
Number of minutes per lap = 9 / 4
Number of minutes per lap = 2.25 minute
Number of lap per minute = 4 / 9
Number of lap per minute = 0.444 lap (Approx)
Time taken for 15 lap = 15 x 2.25
Time taken for 15 lap = 33.75 minutes
4 x^2 + 20 x + 25 = 7
Divide both sides by 4:
x^2 + 5 x + 25/4 = 7/4
Write the left-hand side as a square:
(x + 5/2)^2 = 7/4
Take the square root of both sides:
x + 5/2 = sqrt(7)/2 or x + 5/2 = -sqrt(7)/2
Subtract 5/2 from both sides:
x = sqrt(7)/2 - 5/2 or x + 5/2 = -sqrt(7)/2
Subtract 5/2 from both sides:
Answer: x = sqrt(7)/2 - 5/2 or x = -5/2 - sqrt(7)/2
Answer:20000
Step-by-step explanation:
30+1000+4000
Use the conditional probability formula, P(a|b) = P(a and b)/P(b)