Answer:
<h3>3.5ft</h3>
Step-by-step explanation:
The question is incomplete. Here is the complete question.
Find the complete question in the diagram attached.
Area of a sector = θ/360 * πr² where;
r is the radius
θ is the angle substended by the sector
Given parameters
Area of the sector = 9ft²
central angle θ = 1.5 radians
Since 1 radians = 57.2958°
1.5 radians = (1.5 * 57.2958)
1.5 rad = 85.9437°
Substituting the given values into the formula;
Area of a sector = θ/360 * πr²
9 = 85.9437/360 * (3.14)r²
9 = 0.2387325 * 3.14r²
9 = 0.74962005r²
r² = 9/0.74962005
r² = 12.00608
r = √12.00608
r = 3.4641
r = 3.5 ft (to the nearest tenth)
Hence the radius of the circle is 3.5ft
Answer:
<h2>2¹²</h2>
Step-by-step explanation:
The sum of the coefficients in the expansion of (x+1)^12:
= 12C0 + 12C1 + 12C2 + . . . + 12C11 + 12C12
the formula says that this sum equal to 2¹².
Other examples
The sum of the coefficients in the expansion of (x+1)^3:
3C0+3C1+3C2+3C3
=8 = 2³
The sum of the coefficients in the expansion of (x+1)^4:
4C0+4C1+4C2+4C3+4C4
=16 = 2⁴
:)
Answer:
_
-58
Step-by-step explanation:
Im pretty sure hope it helps