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
Answer:u=19/7 or 2.714286 or 2 5/7
Step-by-step explanation:
−14u+32=−6
Step 1: Subtract 32 from both sides.
-14u+32-32=-6-32
-14u=-38
Step 2: Divide both sides by -14.
-14u/-14=-38/-14
U=19/7
<em>The answer is Ms Hernandez can bring up to 6 people to the zoo.</em>
<em />
<em>x - the number of people that she can bring to the zoo</em>
<em>The parking will cost $7: a = 7</em>
<em>Admission tickets will cost $15.50 per person: b = 15.50x</em>
<em>She can spend on parking and admission tickets $100:</em>
a + b ≤ 100
a = 7
b = 15.50x
7 + 15.50x ≤ 100
15.50x ≤ 100 - 7
15.50x ≤ 93
x ≤ 93 / 15.50
x ≤ 6
Answer:
x = 33.92.
Step-by-step explanation:
0.21 (3x + 3) + 4 = 26
Distribute the 0.21 over the parentheses:
0.63x + 0.63 = 22
0.63x = 22 - 0.63
0.63x = 21.37
x = 21.37 / 0.63
x = 33.92 (answer).
Answer:
f = 6
Step-by-step explanation:
<u>Plug in what you know then solve:</u>
f = d + 1
f = 5 + 1
f = 6
