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22. The value of sin (45°) is approximately equal to a. The square root of two divided by two b. The cube root of two divided by two c. Two divided by square root of two d. The square of two divided by two

22. The value of sin (45°) is approximately equal to a. The square root of two divided by two b. The cube root of two divided by two c. Two divided by square root of two d. The square of two divided by two

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter62: Volumes Of Prisms And Cylinders
Section: Chapter Questions
Problem 38A: A copper casting is in the shape of a prism with an equilateral triangle base. The length of each...
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22. The value of sin (45°) is approximately equal to a. The square root of two divided by two b. The cube root of two divided by two c. Two divided by square root of two d. The square of two divided by two 23. Find the area of a triangle with sides 5, 7, and 10 inches. a. 11.05 sq. inches b. 16.25 cu. inches c. 16.25 sq. inches d. 11.05 cu. inches 24. If the height of a pole is 2√3 meters and the length of its shadow is 2 meters, then find the angle of elevation of the sun. a. 50° b. 55° c. 65° d. 60° 25. A ship travels due east to a point 8000 meters from its starting point. It then turns toward the south through an angle of 65° and proceeds until it crosses a line of sight from the starting position to itself that is 35° south of east. At this point, how far is the ship from its starting point? a. 10000 m b. 13500 m c. 15500 m d. 14500 m 26. Calculate the surface area of a sphere with a diameter of 5 meters. a. 78.53 m² b. 78.53 m³ c. 65.44 m² d. 65.44 m³ 27. You own a Rubik's cube with a volume of 343 cm³. What is the edge length of the cube? a. 70.0 cm b. 700 cm c. 7.00 cm d. 7√7cm 28. What is the triangle formed by joining the three points A(-2, 2), B(2, 1), C (1, 3)? a. Right triangle b. Equilateral triangle c. Isosceles triangle d. Scalene triangle 29. Find the slope of the line perpendicular to the line formed by the points (-1,-2) and (7,8). a. -4/7 b. -4/3 C. -5/3 d. -4/5 30. Find the equation of line passing through (2,8) and is perpendicular to the line 3x+5y-25. a y=(2/3)(x)+(14/3) b. y-(4/3)(x)+(14/3) c. y-(5/3)(x)+(14/3) d. y=(x)+(14/3) 31. Find the minimum distance from the point (4, 2) to the parabola y2=8x. a √√3 b. 4√√3 c. 2√2 d. 2√3
Transcribed Image Text:22. The value of sin (45°) is approximately equal to a. The square root of two divided by two b. The cube root of two divided by two c. Two divided by square root of two d. The square of two divided by two 23. Find the area of a triangle with sides 5, 7, and 10 inches. a. 11.05 sq. inches b. 16.25 cu. inches c. 16.25 sq. inches d. 11.05 cu. inches 24. If the height of a pole is 2√3 meters and the length of its shadow is 2 meters, then find the angle of elevation of the sun. a. 50° b. 55° c. 65° d. 60° 25. A ship travels due east to a point 8000 meters from its starting point. It then turns toward the south through an angle of 65° and proceeds until it crosses a line of sight from the starting position to itself that is 35° south of east. At this point, how far is the ship from its starting point? a. 10000 m b. 13500 m c. 15500 m d. 14500 m 26. Calculate the surface area of a sphere with a diameter of 5 meters. a. 78.53 m² b. 78.53 m³ c. 65.44 m² d. 65.44 m³ 27. You own a Rubik's cube with a volume of 343 cm³. What is the edge length of the cube? a. 70.0 cm b. 700 cm c. 7.00 cm d. 7√7cm 28. What is the triangle formed by joining the three points A(-2, 2), B(2, 1), C (1, 3)? a. Right triangle b. Equilateral triangle c. Isosceles triangle d. Scalene triangle 29. Find the slope of the line perpendicular to the line formed by the points (-1,-2) and (7,8). a. -4/7 b. -4/3 C. -5/3 d. -4/5 30. Find the equation of line passing through (2,8) and is perpendicular to the line 3x+5y-25. a y=(2/3)(x)+(14/3) b. y-(4/3)(x)+(14/3) c. y-(5/3)(x)+(14/3) d. y=(x)+(14/3) 31. Find the minimum distance from the point (4, 2) to the parabola y2=8x. a √√3 b. 4√√3 c. 2√2 d. 2√3
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