Answer:
16.9
Step-by-step explanation:
.......ur welcome..........
40% of 39.99=15.95
6% of 15.95= 0.95
15.95 × 0.95=16.9
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
7. X=5
8. X=6
9. B=-3
10. G=3.4
Answer:
- y-intercept: 2000
- rate of change: 500
Step-by-step explanation:
When Timon starts, he is already $2000 in debt. If we represent Timon's debt with positive numbers, the y-intercept will be $2000.
Timon's debt seems to be increasing at the rate of $500 per month. That value is the rate of change.
After m months, Timon's debt d will be ...
d = 500m + 2000