Equations and Measurements EOC Assessment 35%

Transcription

1 MGSE9-12.G.SRT.6 1. Determine the tangent of A. 3. What is x, the length of PQ in ΔPQR A. B. A. 2 feet B. 4 feet C. 4 feet D. 8 feet 4. What is x, the length of BC in ΔABC C. D. 2. For this right triangle shown, what is the length of AB? A. 7 meters B. 7 meters C. 28 meters D. 14 meters 5. This diagram shows the lengths of each side of a kite. A. 3.5 B. 6.3 C D What is the value of w, to the nearest inch? A) 10 in B) 20 in C) 30 in D) What is the length of AC and BC

2 MGSE9-12.G.SRT.7 8. Which equation is true? A. AC = 15.2 and BC = 9.4 B. AC = 9.4 and BC = 15.2 C. AC = 12.5 and BC = 8.6 D. AC = 15.2 and BC = Two brothers build a pyramid-shaped fort. If the fort is 8 feet wide at its base, what expression could be used to calculate the height of the fort? A. Cos 10 = tan 10 B. Cos 10 = cos 80 C. sin 80 = tan 80 D. sin 80 = cos Given that sin and sin , what is the approximate value of tan 20? A B C D Which of the following writes Cos 10 in function notation? A. Cos (90 10) B. sin (90 10) C. Cos (90 80) D. sin ( ) MGSE9-12.G.SRT A 24-foot utility pole casts a 32-foot shadow. To the nearest degree, find the angle of elevation of the sun. A. 37 Degrees B. 41 Degrees C. 49 Degrees D. 53 Degrees

3 12. A kite is flying 70 feet above the ground and is attached to a string tied to a stake on the ground. The angle of elevation formed by the string and the ground is 40. Find the length of the string to the nearest foot. 14. A bridge is built across a stream as shown in this diagram. The top of the bridge is 4 meters above the stream. What is the length of the bridge? A. 45ft B. 83 ft C. 91 ft D. 109 ft 13. A hot air balloon is 1200 feet above the ground. The angle of depression from the basket of the hot-air balloon to the base of a monument is 54. A. 38 ft B. 83 ft C. 91 ft D. 109 ft 15. The angle of depression from a helicopter to the top of a monument is 16, as shown in this diagram. Which equation can be used to find the distance, d, in feet, from the basket of the hot air balloon to the base of the monument? A B C D How far above the ground, to the nearest yard, is the helicopter? A. 798 yds B. 828 yds C yds D yds

4 MGSE9-12.G.GMD Find the volume of this square pyramid, given that its height is 8 m. 18. What is the volume of this cone? A. 41.9ft 3 A. 24m 3 B. 72m 3 C. 216m 3 D. 648m Find the exact volume of the cylinder. B ft 3 C. 240ft 3 D ft In terms of π, what is the volume of the sphere? A. 14π 3 B. 28πm 3 C. 56πm 3 D. 112πm 3 A. 360π B. 1800π C π D π

5 20. The volume of a cone is 4,325in and has a height of 18in. G.M.D Two cylinders are shown below. Each has a height of 10 units and a radius of r units, and each has been cut by a horizontal plane that is parallel to the bases of both cylinders. What is the radius of the cone? a. 12in b. 15 in c. 21 in d. 36 in 21. The official diameter of a tennis ball, as defined by the International Tennis Federation, is 6 inches. Tennis balls are sold in cylindrical containers that contain three balls each. Find the volume of the cylinder container that is occupied by the 3 tennis balls. Which statement accurately compares the volumes of these two cylinders? a. The right cylinder has a greater volume than the oblique cylinder because its crosssection has a greater area. b. The oblique cylinder has a greater volume than the right cylinder because its crosssection has a greater area. c. Both cylinders have the same volume because their cross-sections have the same area. d. It is not possible to determine which cylinder has a greater volume because the length of the radius, r, is not given. 23. A plane intersects a rectangular prism as shown. Describe the cross-section. a. 98in b. 170in c. 270in d. 423in A. Square B. Rectangle C. Trapezoid D. Triangle

6 24. Figure A shows a square inscribed in a circle. Figure B shows a decagon inscribed in a circle. MGSE9-12.G.GPE Which of the following equations is parallel to 2x 3y = 21 A. y = - x + 2 B. 2x +3y = 7 Aviva wants to use a polygon inscribed in a circle to approximate the area of the circle. Which polygon described below has an area that most closely approximates the area of a circle in which it is inscribed. C. -6x + 9y = 12 D. x + y = Which of the following equations is perpendicular to the following? a. The square in figure A b. The decagon in figure B c. A polygon in a circle that has fewer that has fewer than 4 sides d. A polygon inscribed in a circle that has more than 10 sides. 25. A plane intersects a rectangular prism as shown. Describe the cross-section. A. y = - x + 7 B. y = - x + 9 C. y = - x + 6 D. y = -x + 9 A. Circle B. Trapezoid C. Rectangle D. Triangle

7 28. Find the equation of the line parallel to the line graphed that passes through the point (6,-1). 30. Find the point, M, that divides segment AB into a ratio of 2:1 if A is at (-1, 2) and B is at (8, 15). 31. Find the distance between the two labeled points. 29. Write an equation of the line that is perpendicular to 3x + 9y = 7 and passes through the point (6, 4). A. Y = 3x 14 B. Y = 3x + 4 C. Y = -3x +16 D. Y = -2x + 16 MGSE9-12.G.GPE.6 MGSE9-12.G.GPE.7

8 32. Find the area of the polygon A(-3, 0) B(3, 2) C(4, -1) D(-2, -3) A. 400 B. 20 C. 15 D Which point is on a circle with a center of (3, 9) and a radius of 5? A. ( 6, 5) B. ( 1, 6) C. (1, 6) D. (6, 5) 33. Find the perimeter of the polygon A(-3, 0) B(3, 2) C(4, -1) D(-2, -3) A. 25 B. 19 C. 15 D Find the area of the polygon A(-3, 0) B(1, 4) C(4, 1) A. 12 B. 20 C. 29 D Find the parameter of the polygon A(-3, 0) B(1, 4) C(4, 1) A. 5.5 B C D MGSE9-12.G.GPE.4