Step-by-step explanation:
We have xy = 28, x² + y² = 65 and x³ + y³ = 407.
Since (x + y)(x² - xy + y²) = x³ + y³,
x + y = (x³ + y³)/(x² + y² - xy)
= (407) / [(65) - (28)]
= 407 / 37
= 11.
Hence the sum of the numbers is 11.
Answer:
V = πr²h
Step-by-step explanation:
Volume = π(radius)² * height
Answer:
£390
Step-by-step explanation:
The ratio of money in bank:
Terry : Faye
3 : 7
Terry put £220 in his account
Faye withdrew £300 from her account
Unknown:
Initial amount Terry had = ?
Solution:
Let the real amount terry has = 3x
Faye will have = 7x
Now;
3x + 220 = 7x -300
Solving this equation:
3x + 220 = 7x -300
3x - 7x = -300 - 220
-4x = - 520
4x = 520
x = 130
Originally, Terry has 3x = 3 x 130 = £390
To find the volume of a dome, you would have to find the volume of the sphere, theoretically, and then divide it by two. To calculate the volume, we would use the formula 4/3

. The radius (r) in this case is half of the diameter which is 14. 4 x 3.14 (pi) = 12.56. 12.56 x 14 x 14 x 14 (2744) = 34464.64. If we divide this number by 3, we get 11488.2133. If we divide this by 2 (to get the dome), we get 5744.10656. Which would be 5744.1 rounded to the nearest tenth.
-22 is your answer because all you have to do is take 4 away from -18 and you get -22