Answer:
x⁵+ 45x⁴+ 810x³+ 7290x²+ 32805x +59049
Step-by-step explanation:
Greetings !
Given expression
write 5 as a sum
Use (a+b)³=a³+3a²b+b³ to expand the expression
Use (a+b)²=a²+2ab+b² to the second expression to expand it
Finally, simplify the expression gives
Hope it helps!
I wrote the domain and range in interval notation, not sure if that’s how you’re asked to do it. This is how I was taught to state the domain/range of a graph.
Volume of the cone is 117.5 π ft³
<u>Step-by-step explanation:</u>
Lateral area of the cone = πrs
s is the slant height = 15 ft
From the above formula, we can find the radius as, 5 ft.
Volume of the cone = π r² h/3
s = √ (5²+ h²)
Squaring on both sides, we will get,
s² = 15² = (5² + h²)
15² - 5² = h²
225 - 25 = 200 = h²
h = √200 = 14.1 ft
Volume = π × 5² × 14.1 / 3 = 117.5 π ft³
