The unknown number is 1/2 or 0.5.
ex: 4x+6=8
Applying the formula for the area of a sector and length of an arc, the value of k is calculated as: 27.
<h3>What is the Area of a Sector?</h3>
Area of a sector of a circle = ∅/360 × πr²
<h3>What is the Length of an Arc?</h3>
Length of arc = ∅/360 × 2πr
Given the following:
- Radius (r) = 9 cm
- Length of arc = 6π cm
- Area of sector = kπ cm²
Find ∅ of the sector using the formula for length of acr:
∅/360 × 2πr = 6π
Plug in the value of r
∅/360 × 2π(9) = 6π
∅/360 × 18π = 6π
Divide both sides by 18π
∅/360 = 6π/18π
∅/360 = 1/3
Multiply both sides by 360
∅ = 1/3 × 360
∅ = 120°
Find the area of the sector:
Area = ∅/360 × πr² = 120/360 × π(9²)
Area = 1/3 × π81
Area = 27π
Therefore, the value of k is 27.
Learn more about area of sector on:
brainly.com/question/22972014
Factor out the trinomial. Find factors of x² and 6 that would, when added, give you 5x
x² = x * x
6 = 3 * 2
(x + 3)(x + 2) are your binomials.
To solve for x, set each parenthesis = 0
x + 3 = 0
x + 3 (-3) = 0 (-3)
x = -3
x + 2 = 0
x + 2 (-2) = 0 (-2)
x = -2
x = -3, -2
hope this helps
If 
, then by rationalizing the denominator we can rewrite
Now,
and
There are 4 lateral faces that are triangles. Each triangle is: A =
A =
= 176
There is one base that is a square. A = L x W
A = 16 x 16
= 256
Surface area = 256 + 4(176)
= 256 + 704
= 960
Answer: B
