ashrobbb
29.08.2019 •
Mathematics
Approximately what percent of data values in a sample are greater than or equal to the third quartile?
Solved
Show answers
More tips
- L Leisure and Entertainment Learn How to Knit with Needles: A Simple Guide for Beginners...
- C Computers and Internet Best Antivirus: How to Choose Protection for Your Computer?...
- L Legal consultation What Documents Are Required for a Russian Passport?...
- S Sport How to Choose Tennis Rackets?...
- H Health and Medicine AKDS Vaccination: Ensure Your Child s Safety...
- H Health and Medicine Naskol ko Opasen Ukus Kleshcha i Kak Ego Raspoznat...
- C Computers and Internet How to Delete Your Account on Odnoklassniki...
- H Health and Medicine What to Do When Your Jaw Locks Up?...
- G Goods and services What Are the Most Popular Services?...
Answers on questions: Mathematics
- M Mathematics Let p and q represent the statements: p: jose is running track. q: jose is not winning the race. express the following statement symbolically: jose is winning the race....
- M Mathematics Wśród dziesięciu poniższych pierwiastków jest sześć liczb niewymiernych. Podkreśl je. √64 √0,64 √ 49/81 √ 820 √ 36/83 √ 48/81 √ 111 √ 1,21 √ 17...
- M Mathematics 4. On a 3-hour trip, a car travels 156 miles. What is the average speed of the car on this trip?...
- M Mathematics Which inequality has the solution shown below?...
- M Mathematics If 46 people can fit into 64 square teet. Which proportion should you use to estimate how many people are in a 600 square foot area?...
- M Mathematics What is the length of Line AB? answers: 4 10.5 6 10...
- M Mathematics Which situation can be represented by the expression 1.3x...
Ответ:
Ответ:
The length of the track is approximately 51.7 ft
The track has three sides of the square and the distance round a half of a complete circle
Step-by-step explanation:
The given track shape and measurements are;
The shape on the left side of the track = Square
The shape on the right side of the track = Half circle
The area of the square on the the left side of the track = 128 square feet
Therefore, from the area, A, of a square of side length, s, which is s × s, and letting the side length of the square = s, we have;
Area of the square portion of the track = s × s = s² = 128 ft²
Therefore, s = √(128 ft²) = 8·√(2) ft.
Whereby the side length of the square is bounded by the diameter of the half circle, we have;
Length of the diameter of the half circle = s = 8·√(2) ft.
The length of the perimeter of the half circle = π·D/2 = π × 8·√(2)/2 = π × 4·√(2) ≈ 17.77 ft.
The perimeter of the track, which is the length of the track is made up of the three sides of the square opposite to the half circle and the circumference of the half circle.
Therefore;
The length of the track = 3 × 8·√(2) ft + π × 4·√(2) ft. = 4·√2×(π+6) ≈ 51.7 ft
The length of the track ≈ 51.7 ft
Which gives;
The track has three sides of the square and the distance round a half of a complete circle.