Simplify
1 answer:
You might be interested in
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
<h3>Answer: 39</h3>
========================================================
Explanation:
You can use the nCr formula shown below
where n = 39 and r = 1. However, you could also use the identity
which basically says there are n ways to pick 1 item if you are given a choice of n items. In this specific case, we have 39 items total, and there are 39 ways to pick one item.