Please help me with these problems.

Decimals and fractions

Construction: an a-frame cabin has a triangular front with a base of 30 ft and a height of 20 ft. If the front is to be glass that cost $3 per square foot, what will the glass cost?

The distance from Philadelphia to Sea Isle City is 100 mi. A car was driven this distance using tires with a radius of 14 in. How many revolutions of each tire occurred on the trip?

Statistics: The following table gives the free throws attempted (FTA) and the free throws made (FTM) for the top five players in the NBA for a recent season. Calculate the free throw percentage for each player by writing the FTM over the FTA and converting this fraction to a decimal
Player FTM FTA
Allan Houston 363 395
Ray Allen 316 345
Steve Nash 308 339
Troy Hudson 208 231
Reggie Miller 207 230

Statistics: The following table gives the winning percentages of the top five coaches in NFL history. What fraction of his games has each coach won?
Coach Percentage
Don Shula 0.676
George Halas 0.672
Tom Landry 0.606
Curly Lambeau 0.624
Paul Brown 0.667

A frame

area = (1/2) base * height
cost = 3 times area

1 revolution = 2 pi r = 6.28 * 14 = 87.9 in
100 mi (5280 ft/mile)(12 in/ft) =6,336,000 in
so
6,336,000 in ( 1 rev/87.9 in) =72,082 rev

100 *(number made / total number of attempts)

Sure! Let's go through each problem step by step:

1. Construction:
To find the cost of the glass, we need to first calculate the area of the triangular front by using the formula for the area of a triangle: Area = (base * height) / 2.
In this case, the base is 30 ft and the height is 20 ft, so the area is (30 * 20) / 2 = 300 square feet.

Next, we multiply the area by the cost per square foot, which is $3.
So, the glass will cost 300 * $3 = $900.

Therefore, the glass will cost $900.

2. Distance Calculation:
To find the number of revolutions of each tire, we need to calculate the circumference of the tires. The circumference formula is: Circumference = 2 * π * radius.

In this case, the radius is given as 14 inches.

First, we need to convert the radius to feet since the distance is given in miles. There are 12 inches in a foot, so 14 inches is equal to 14/12 = 1.17 feet.

Now, we can calculate the circumference using the formula. Circumference = 2 * π * 1.17 = 7.35 feet.

Next, we need to convert the distance from miles to feet. There are 5,280 feet in a mile, so 100 miles is equal to 100 * 5,280 = 528,000 feet.

Finally, to find the number of revolutions, we divide the distance by the circumference. Number of revolutions = 528,000 / 7.35 ≈ 71,837.

Therefore, approximately 71,837 revolutions of each tire occurred on the trip.

3. Free Throw Percentage Calculation:
To calculate the free throw percentage for each player, we need to divide the number of free throws made (FTM) by the number of free throws attempted (FTA), and then convert this fraction to a decimal.

Let's take the example of Allan Houston:
FTM = 363, FTA = 395

Free throw percentage = FTM / FTA = 363 / 395 ≈ 0.92

Therefore, Allan Houston has a free throw percentage of approximately 0.92.

You can perform similar calculations for the remaining players.

4. Winning Percentage Calculation:
To find the fraction of games won for each coach, we need to subtract the winning percentage from 1.

Let's take the example of Don Shula:
Winning percentage = 0.676

Fraction of games won = 1 - Winning percentage = 1 - 0.676 = 0.324

Therefore, Don Shula has won approximately 0.324 fraction of his games.

You can perform similar calculations for the remaining coaches.