Answer:
14130 ft^3
Step-by-step explanation:
The formula for the volume of a cone of radius r and height h is
V = (1/3)*pi*r^2*h.
Here, V = (1/3)(3.14)(15 ft)^2*(60 ft) = 20*3.14*225 ft^3 = 14130 ft^3
Answer:
<em>x ∈ ( - ∞ , - 8 ) ∪ ( - 8 , 0 ) ∪ ( 0 , 8 ) ∪ ( 8 , ∞ ) </em>
Step-by-step explanation:
x³ - 64x = x( x² - 64 ) ≠ 0 ⇒ x ≠ 0 and x ≠ ± 8
<em>x ∈ ( - ∞ , - 8 ) ∪ ( - 8 , 0 ) ∪ ( 0 , 8 ) ∪ ( 8 , ∞ )</em>
Answer:
16
Step-by-step explanation:
Let's denote:
a: number of students wearing sneakers
b: number of students wearing boots
We have:
a + b = 36
a/b = 4/5 (multiply both sides by b => a = 4b/5)
Substitute a = 4b/5 into a + b = 36
=> 4b/5 + b = 36
=> 4b/5 + 5b/5 = 36
=> 9b/5 = 36
=> b/5 = 4
=> b = 20
=> a = 4b/5 = 4(20)/5 = 16
Answer:
x=8
Step-by-step explanation:
