The measure of central angle QRS is StartFraction 8 pi Over 9 EndFraction radians. What is the area of the shaded sector? 36Pi u
nits squared 72Pi units squared 144Pi units squared 324Pi units squared
2 answers:
The illustration is omitted. Please see the attachment below.
Answer:
The area of the shaded sector is 144π square units.
Step-by-step breakdown:
Given:
The central angle for the sector is,
The circle's radius is,
The area of a sector with radius 'R' and angle can be determined with:
Substituting gives
Thus, the area of the shaded sector calculates to 144π square units.
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Answer:
Yes, the cost in dollars and the quantity of yogurt
are indeed proportional.
The relationship can be expressed as:
Step-by-step explanation:
1. If varies directly with
, it can be represented as:
Here, represents the constant of proportionality.
2. We'll calculate the proportionality constant. Given that and
, we have:
3. Thus, the equation becomes:
4. Now, we need to verify proportionality. Substituting , which is the quantity of yogurt purchased by Jonah, we should arrive at $0.48:
5. They are indeed directly proportional.