devin began running a month ago to get back in shape.the first day he ran .5 miles. each day after that he ran 10% more than the previous day for a total of 30 days. use the formula for the sum of a finite geometric series to calculate the total distance devin ran over the 30 days.

Answer:

Henry is approximately 276 feet from his starting point.

Step-by-step explanation:

To find how many feet Henry is from his starting point, you can use the Pythagorean theorem because he walked in both the north and west directions, creating a right triangle. Here's the calculation:

1. The distance he walked north is 200 feet.

2. The distance he walked west is 190 feet.

3. The 45-degree angle forms a right triangle.

Now, use the Pythagorean theorem:

a² + b² = c²

Where:

a = 200 feet (north)

b = 190 feet (west)

a² + b² = c²

(200)² + (190)² = c²

40000 + 36100 = c²

76100 = c²

Now, find the square root of 76100:

c = √76100 ≈ 276 feet

So, Henry is approximately 276 feet from his starting point.

Approximately 81 conical cups can fill. Therefore, each of the 38 players can fill two full paper cups of water during practice.

Given that, the radius of the cylindrical cooler=6 inches and height=20 inches.

The radius of the conical cup=2.2 inches (4.4/2) and height=5.5 inches.

What are the formulas for the volume of the cylinder and the volume of the cone?

The volume of the cylinder =πr²h and the volume of the cone =1/3 πr²h.

Now, the number of paper cups =The volume of the cylinder cooler/ The volume of the conical cup.

The volume of the cylinder cooler =π×6²×20=720π cubic inches.

The volume of the conical cup =1/3 π×(2.2)²×5.5=8.9π cubic inches.

The number of paper cups =720π/8.9 π=80.89

Approximately 81 conical cups can fill. Therefore, each of the 38 players can fill two full paper cups of water during practice.

To learn more about the volume of the cylinder visit:

brainly.com/question/16134180.

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Answer:

The answer would the third option "Yes, because there is enough water in the cooler for about 81 cups total."

Step-by-step explanation:

Answer:

gallon.

Step-by-step explanation:

Amount of orange juice Tony had  is gallons.

Amount of orange juice drank by him is of the orange juice he had.

To find the amount of orange juice Tony drink, we need to first convert the amount of orange juice Tony had in improper fraction, as the amount of juice he had is given in Mixed fraction.

So, amount of orange juice Tony had is gallons.

Now, to find the amount of orange juice Tony drink, we need to multiply and

So, amount of juice Tony drink is

Hence, amount of orange juice Tony drink is gallon.