Answer:
V ≈ 1847.26
Step-by-step explanation:
<u>Circular Cone Formulas in terms of radius r and height h:</u>
The volume of a cone:
V = (1/3)πr2h
Slant height of a cone:
s = √(r2 + h2)
Lateral surface area of a cone:
L = πrs = πr√(r2 + h2)
The base surface area of a cone (a circle):
B = πr2
The total surface area of a cone:
A = L + B = πrs + πr2 = πr(s + r) = πr(r + √(r2 + h2))
Therefore, the solution
V = πr 2h
/ 3 = π·142·9/ 3 ≈ 1847.25648
In the standard form of quadratic
the discriminant is
In your quadratic, a = 1, b = -9 and c = -10
Now you need to plug these values into the expression for the discriminant.
Answer:
Step-by-step explanation:
7(b² - 2b - 8) = 0
7(b² - 2b + ) = 8
7(b² - 2b + 1) = 8 + 1
7(b - 1)² = 9
(b - 1)² = 9/7
b - 1 = ±√(9/7)
b = 1 ±3√(1/7)
b ≈ -0.134, 2.134
m² + 10m + 14 = -7
m² + 10m + = -7 - 14
m² + 10m + 25 = -7 - 14 + 25
(m + 5)² = 4
m + 5 = 2
m = -3
p² - 8p + 21 = 6
p² - 8p + = 6 -21
p² - 8p + 16 = 6 -21 + 16
(p - 4)² = 1
p - 4 = 1
p = 5
