Be prepared to find the volume, area, and volume of any of the shapes covered in lecture and/or homework. A rhombus is also a square.
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1 Math 254SI Practice Problem Set 5 (Chapter 8&9) Do these problems on a separate piece of paper(s). Remember that the quiz is closed book and closed notes except for the Geometry handout that I will provide. A basic arithmetic calculator is allowed. Be prepared to find the volume, area, and volume of any of the shapes covered in lecture and/or homework. 1. a) Find the supplement of a 65º angle. b) Find the complement of a 65º angle. 2. a) Find the measure of BEA in the figure. A 50º B 38º C b) Find the measure of BED in the figure. E 35º D 3. The two horizontal lines are parallel. Find the measures of angles w, x, y and z in the figure. 115º x y z w 4. Are the following statements true or false? A rhombus is also a square. An obtuse angle measures between 0º and 90º. A parallelogram is always a rectangle. 5. Use the triangle given to find the measure of x. 25º 95º x
2 6. Find the perimeter of the figure below. 8 feet 20 feet 13 feet 14 feet 6 feet 7. Find the area of the following figure. 6 feet 14 feet 10 feet 8 feet 8. a) Find the exact circumference of the circle shown. b) Then use 3.14 to find the approximate circumference of this circle. 9 inches 9. a) Find the exact area of the circle shown. b) Then use p» 3.14 to find the approximate area of this circle. 15 meters 10. Find the perimeter of the triangle. 7 in 4 in 6 in 11. Find the area of the triangle. Write your answer as a whole number or a mixed number with the fraction part in lowest terms. 7 yd yd
3 12. a) Find the perimeter of the trapezoid. 11 feet b) Find the area of the trapezoid. 8.5 feet 8 feet 10 feet 20 feet 13. a) How much fencing is needed to enclose a rectangular garden that measures 105 feet by 60 feet? b) If the fencing material cost $3.50 per foot, what is the total cost of the fencing material? 14. A rectangular picture frame measures feet by 4 feet. Find how many square feet of glass the frame requires. Write the answer as a whole number or a mixed number with the fraction part in lowest terms. 15. A swimming pool company advertises that solar covers are on sale for $1.77 per square foot. How much would a cover cost for a 36-foot by 18-foot rectangular pool? 16. Find the volume of a right circular cylinder that has a height of 14 yards and a diameter of 8 yards. Use 22 for π to approximate the volume of the cylinder. 7 Write the answer as a whole number or a mixed number with the fraction part in lowest terms. 17. a) Find the exact volume of the sphere with a radius of 9 feet. b) Then use p» 3.14to give an approximate volume for this sphere. 18. An ice cream cone with a 6 centimeter diameter and a height of 5 centimeters is filled exactly level with the top of the cone. Approximate how much ice cream is in the cone. Use 22 for. Write the answer as a whole number or a 7 mixed number with the fraction part in lowest terms. 19. a) Find square root of 121.
4 b) Find the square root of The two triangles below are similar. Find the ratio of the corresponding sides. Write your answer in simplest form Given that the pair of triangles is similar, find the length of the side labeled x. x Given that the pair of triangles is similar, find the length of the side labeled x x If a 30-foot tree casts an 18-foot shadow on the ground, find the length of the shadow cast by a 24-foot tree. 24. At a certain time of day, a 24-foot telephone pole casts a 6-foot shadow on the ground. If another telephone pole casts a shadow that is 5 feet long, how tall is the second telephone pole?
5 Centimeters Number of Weeks 25. A 5 th grade class is participating in General Mills Box Tops for Education program where participating schools can redeem box tops of certain products for money. According to this pictograph, about how many total box tops were collected during week 1 and week 2? Each represents 20 box tops. 26. The bar graph shows rainfall in Chicago during a typical year (January through December). a) According to this graph, about how many centimeters of rainfall did Chicago have from March through May? b) According to this graph, about how many more centimeters of rainfall did Chicago have in August than in July? The bar graph below shows the normal monthly precipitation in centimeters for Chicago Chicago Rainfall J F M A M J J A S O N D (Source: U.S. National Oceanic and Atmospheric Administration, Climatography of the United States, No. 81.)
6 Average Number of Goals per Game 27. The FIFA World Cup is held every 4 years. The following line graph shows the average number of goals per game. 3 Did the average number of goals per game increase or decrease between 1994 and 1998? < > The following circle graph shows the percent of the types of books available at a local library. Use it to answer # a) What percent of the books are classified as reference? Other 11% Reference 10% b) If the public library has 125,300 books, how many of them are adult fiction books? Children's Fiction 22% Adult's Fiction 28% Non-fiction 29% Use the numbers below to answer questions # If an answer is not a whole number, round it to one decimal place, that is, to the nearest tenth. 29. Find the average (mean). 30. Find the median. 31. Find the mode. 98, 97, 95, 89, 92, 83, 87, Find the median for the following list of numbers: 45, 54, 68, 50, 39
In problems #2 through #6, round your answers to the nearest tenth if necessary.
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