Answer:
b = 9
Step-by-step explanation:
Using Pythagoras' identity in the right triangle.
The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is
b² + 12² = 15²
b² + 144 = 225 ( subtract 144 from both sides )
b² = 81 ( take the square root of both sides )
b = 
= 9
Answer;
Sean got 24 points
Katie got 31 points
Kevin got 8 points
Emily got 12 points
Sorry I cannot give proper explanation because of typo issues.
Hope that can help.
Answer: 4.5x + 2
Explanation:
Sum of length and width = (3x-1)+(1.5x+3)
= 3x - 1 + 1.5x + 3
= 4.5x + 2
About 495 CDs in a single day
3467/7=495+ small decimal
Assuming R and H:
So volume is pir^2 * H = 1500 and H = 1500/(pir^2) while surface area is A= 2pir*H + 2pir^2
A = 2pir(r+h)= 2piR^2 + 2pir*1500/(pir^2)= 2piR^2 + 3000/r
For A to take minimum, get the derivative 4pir - 3000/R^2 and let it be 0
4pir^3 - 3000 = 0
r = cbrt(3000/(4pi)) ≈ 6.20
h = 1500/(pi(6.20)^2) ≈ 12.42
