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Illusion [34]
3 years ago
11

What is the exact area of a circle having diameter 3 in.?

Mathematics
1 answer:
boyakko [2]3 years ago
8 0

Answer:

2.25π square inches

Step-by-step explanation:

Area = πr^{2}

Diameter = 2r

So in this case, radius = 1.5 inches

Plugging that into the area formula produces the answer

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A bird leaves its nest and travels 20 miles per hour downwind for x hours. On the return trip, the bird travels 4 miles per hour
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Answer:

The correct answers are:

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Explanation:

We will use the equation d = rt for this.

For the first leg of the trip, the bird travels 20 miles per hour for x hours.  This gives us the equation

d = 20x

For the return trip, the bird travels 4 miles per hour slower, so 20-4 = 16 miles per hour.  He also travels 6 miles less than the return distance, for x hours:

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We will set the two equations equal to one another, since they both equal d:

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He travels for 1.5 hours both times.

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The original trip is 30 miles.  This makes the entire trip 30(2) = 60 miles.

On the return trip, he travels 30-6 = 24 miles at 16 miles per hour:

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24/1.5 = 30/x

Cross multiplying,

24*x = 1.5(30)

24x = 45

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x = 1.875

This gives him a total time of 1.5+1.875 = 3.375 hours

Step-by-step explanation:

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