Answer:
A, B and D are true statements.
Step-by-step explanation:
We are given a binomial expansion


Now we will check each option
Option A: The coefficients of
and
both equal 1.
If we see first and last term of the expansion, This statement is true.
Option B: For any term
in the expansion, a + b = n.
Let we take 3rd term of expansion
Here, a=n-2 and b=2
If we do a+b = n-2+2=n
a+b=n is true statement.
Option C: For any term x^ay^b in the expansion, a - b = n.
Let we take 3rd term of expansion
Here, a=n-2 and b=2
If we do a-b = n-2-2=n-4≠n
a-b=n is false statement.
Option D: The coefficients of x^ay^b and x^by^a are equal.
If we take second term from beginning and last of the expansion.


This statement true.
9514 1404 393
Answer:
(b) 10.5 in
Step-by-step explanation:
The formula for the volume of a cone is ...
V = 1/3πr²h . . . . . . for radius r and height h
Then the height is ...
h = 3V/(πr²)
Your cone has a volume V = 199 in³ and radius r = 4.25 in, so the height is ...
h = 3(199 in³)/(π(4.25 in)²) ≈ 10.52 in
The height of the cone is about 10.5 inches.
It can maybe be um 3 times 17 55 um maybe 88
Answer:
<em>96π units²</em>
Step-by-step explanation:
Find the diagram attached
Area of a sector is expressed as;
Area of a sector = θ/2π * πr²
Given
θ = 3π/4
r = 16
Substitute into the formula
area of the sector = (3π/4)/2π * π(16)²
area of the sector = 3π/8π * 256π
area of the sector = 3/8 * 256π
area of the sector = 3 * 32π
<em>area of the sector =96π units²</em>