Answer: 31: -12, -2
32: -6, 3
33: 4, -4
34: 1, 8
35: 2, -6
36: 2, -3
37: -5, -6
38: -8, 9
39: 7, 0
Step-by-step explanation:
Hope this helps!
Answer:
Step-by-step explanation:
Givens:
m: 2/3 m and 5/6 m
rational numbers: -1 1/6 and - 1 1/3
Combine the givens
2/3 m + 5/6 m Change 2/3 m to something over 6
2/3m = 2*2 m / 3*2
2/3 m = 4 m /6
4m/6 + 5m / 6 = 9 m/6 = 1 1/2 m
<u><em>Result</em></u>: B and D are both incorrect
Now work on the rationals. Change the -1 1/3 into -1 something / 6
Change 1/3 into something over 6
-1 1/6 - 1 1/3 change - 1 1/3 = -1 2*1 /3*2
-1 1/6 - 1 2/6
-1 1/6 - 1 2/6 = 2 (1 + 2)/6
-1 1/2
Answer: C
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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
