Answer:
256π
Step-by-step explanation:
Given that:
The height of the cylinder: 12 cm
The radius of the sphere : 10
Let r is the radius of the cylinder, use Pytagon
10² = r² + 6²
<=> r² = 10² - 6² = 64
<=> r = 8
Hence, the lateral area of the cylinder
L= 2πrh
= 2π8*16
= 256π
Answer: f(-3) = 278, f(-4) = 232
Step-by-step explanation:
f(x) = 4x³ - 6x² - 144x + 8
f(-3) = 4(-3)³ - 6(-3)² - 144(-3) + 8
f(-3) = 4(-27) - 6(9) - 144(-3) + 8
f(-3) = 278
f(-4) = 4(-4)³ - 6(-4)² - 144(-4) + 8
f(-4) = 4(-64) - 6(16) - 144(-4) + 8
f(-4) = 232
Writing the word problem as an equation you get:
x - 18 ≥ -12
Now to solve for x:
Add 18 to both sides of the inequality:
x ≥ -12 + 18
Simplify:
x ≥ 6
Answer:
The leading coefficient in the polynomial 10x2 + 3x - 5 is 10.
Step-by-step explanation:
To find the leading coefficient of the polynomial function, we must first locate the leading term. In a polynomial function, the leading term is the term containing the highest power of x. In this polynomial function, the leading term is 10x2. The leading coefficient of a polynomial function is the coefficient of the leading term, and so the leading coefficient of this polynomial function is 10.