What is the Area of a Triangle Equilateral that's base is 3ft?

LAST TEST BEFORE I GRADUATE AND GO OFF TO ARMY! PLEASE HELP!! (GEOMETRY TRIANGLES)?

• Okay men and women, I have one more test before I get my diploma and head off! but I keep redoing this same test and no matter what i do (even if im confident in these answers) they arent right! I keep making a 55. EVEN IF ITS JUST A COUPLE OF QUESTIONS YOU CAN ANSWER THAT WOULD BE GREATLY APPRECIATED. Teacher wont help, but I dont have time not to be helped. I just need to get this one little test done! PLEASE HELP, thank you and god bless. 1. A storage barrel has the shape of a cylinder. The volume of the barrel is about 81.64 cubic feet and the radius is 2ft..Which of the following expressions could be used to find its height in feet? 2. A small section of a roof has the shape of a triangle. The total area of the section is 10.5 square feet. If the height of the section is 3.5 feet, what is the measure of the base in feet? 3. What is the approximate volume in cubic feet of a box with a length of 2½ ft, a width of 1 ft 6 in, and a height of 1 ft 9 in? 4. What is the area in square centimeters of a triangle that has 345 meters? 5. A cone has a height of 1 foot 4 inches and a base with an area of 18 square inches. What is the volume of the cone in cubic inches? 6. Joe travels from his house to school every day 15 miles. He picks up his friend Mark, who lives 5 miles on the other side of the school. How many miles total will he travel round trip ? 7. Jose is five years older than Maria, and Lupe is twice as older as both of them together his 39. So how old is Jose and Maria? 8. A triangle has an area of 85 and a base of 15, what’s its height? 9. One leg of a triangle is three times bigger than the other leg. The hypotenuse is 12 feet. How long is the shorter leg? 10. 22 and 34, hypotenuse= 11. 21 and 47, hypotenuse= 12. 47 and 71, third leg= 13. 104 and 118, hypotenuse= 14. 10 and 15,hypotenuse= 15. Hal has a board similar to this one. He needs to cut it into pieces, with each piece measuring ¾ foot. How many pieces can he cut from the board? The first rectangle is 12 feet.(THE ANSWER ISNT 16! thats what i thought..) 16. If you have a solid rectangular that has length of 10, a width of 5, and a height of 12.What would your surface area would be? 17. You have an ice cream cone that has a radius of 10inch, and height 12inch, what would the surface and the volume area be? volume= surface area= 18. If Angelo has 10 books, and each one has 225 to 235 pages. How many pages is the estimate of all of them together?

• Answer:

  1. Cylinder volume = (π)(height)(radius)² 81.64 = (π)(height)(2)² height = 81.64/(4π) 2. Triangle area = (1/2)(base)(height) 10.5 = (1/2)(base)(3.5) base = 6 3. Box volume = (length)(width)(height) Box volume = (2.5 feet)(1 foot 6 inches)(1 foot 9 inches) Box volume = (2.5 feet)(1 foot + 6/12 foot)(1 foot + 9/12 foot) Box volume = (2.5)(1.5)(1.75) Box volume = 6.5625 cubic feet 4. Assuming you meant 345 square meters, . . . . . . . . . . . . . . . (100 cm)^2 345 (meters)^2 x ------------------ = 345 x 10000 = 3,450,000 square cm . . . . . . . . . . . . . . . (1 meter)^2 5. Circular base area = (π)(radius)² radius = √(area/π) radius = √(18/π) Cone volume = (1/3)(π)(height)(radius)² Cone volume = (1/3)(π)(1 foot 4 inches)(√(18/π))² Cone volume = (1/3)(π)(12 inches + 4 inches)(18/π) Cone volume = (1/3)(16)(18) Cone volume = 96 cubic inches 6. house to school = 15 miles one way additional mileage for Mark = 5 miles one way So going to school, Joe travels 15 miles to school + 5 miles to pick up Mark and 5 miles back to school. That makes a one way trip of 15 + 5 + 5 = 25 miles A round trip would be double that = 50 miles. 7. Jose = Maria + 5 Lupe = Jose + Maria what does the "his 39" represent? 8. Triangle area = (1/2)(base)(height) 85 = (1/2)(15)(height) 85 = (7.5)(height) height = 85/7.5 9. long leg = (3)(short leg) Assuming this is a right triangle, applying the Pythagorean Theorem (hypotenuse)² = (short leg)² + (long leg)² substitute (3)(short leg) for (long leg) (12)² = (short leg)² + ((3)(short leg))² 144 = (short leg)² + 9(short leg)² 144 = 10(short leg)² (short leg)² = 144/10 short leg = √(144/10) short leg = √14.4 10. Assuming that 22 and 34 are the sides of a right triangle, applying the Pythagorean Theorem (hypotenuse)² = 22² + 34² (hypotenuse)² = 1640 hypotenuse = √1640 11. Assuming that 21 and 47 are the sides of a right triangle, applying the Pythagorean Theorem (hypotenuse)² = 21² + 47² (hypotenuse)² = 2650 hypotenuse = √2650 12. third leg? Is this a right triangle or some other three sided polygon? 13. Assuming that 104 and 118 are the sides of a right triangle, applying the Pythagorean Theorem (hypotenuse)² = 104² + 118² (hypotenuse)² = 24740 hypotenuse = √24740 14. Assuming that 10 and 15 are the sides of a right triangle, applying the Pythagorean Theorem (hypotenuse)² = 10² + 15² (hypotenuse)² = 325 hypotenuse = √325 15. Hal has a board similar to this one. He needs to cut it into pieces, with each piece measuring ¾ foot. How many pieces can he cut from the board? The first rectangle is 12 feet.(THE ANSWER ISNT 16! thats what i thought..) Seems like there should be a diagram with this problem. Where is it? 16. If you have a solid rectangular that has length of 10, a width of 5, and a height of 12.What would your surface area would be? There are two sides that measure 10 x 12 and has a total surface area of 2 x 10 x 12 = 240 There are two sides that measure 5 x 12 and has a total surface area of 2 x 5 x 12 = 120 There are two sides that measure 10 x 5 and has a total surface area of 2 x 10 x 5 = 100 So the total surface area of the entire rectangular solid is 240 + 120 + 100 = 460 Had to eliminate some answers since I got an error message my post was too long.