<span>Identify the corresponding word problem given the equation: x + 5 = 15
</span><span>C) Billy is five years older than his sister, Jenny. If Billy is 15 years old,
Jenny is x = 15 - 5 = 10
Jenny is 10 years old
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</span><span>Identify the corresponding word problem given the inequality: x ≤ 4.50
</span><span>C) The price of diesel has been no more than $4.50 for the last month.
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<span>Identify the corresponding word problem given the equation: x - 9.2 = 12.8
</span><span>B) Nick ran 12.8 miles less than Perry last week. If Nick ran 9.2 miles, how many miles did Perry run?
x = 12.8 + 9.2 = 22
Perry ran 22 miles
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</span><span>Identify the corresponding word problem given the equation: x + 12.50 = 55.75
</span><span>A) For mowing the neighbor's yard, Jessy was paid $12.50. If he now has $55.75, how much money did he have before?
</span>x = 55.75 - 12.50 = 43.25
Before he had $43.25
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:
Step-by-step explanation:
i got x=3.21007319
