1-50 Flashcards
- The types of expansions or compressions that may be represented by pressure-volume diagrams are for:
- Constant pressure
- Constant temperature
- Adiabatic
- Constant volume
- Isothermal
a. 1, 2, 4
b. 1, 2, 3, 4
c. 3, 4, 5
d. 1, 2, 3, 5
e. 1, 2, 5
d. 1, 2, 3, 5
- The common and Naperian logarithms for the number 272 are:
a. 1.4346, 3.3032
b. 2.4346, 5.6058
c. 3.4345, 7.9084
d. 4.4345, 7.9084
e. 5.4345, 7.9084
b. 2.4346, 5.6058
- Find the antilogarithm of the number 3.3522.
a. 0.5263
b. 1.5253
c. 225.09
d. 2250.09
e. 22500.09
d. 2250.09
- The natural or Naperian logarithm of 0.00478 is?
a. -5.3433
b. -3.0407
c. -2.3205
d. 2.3205
e. 5.3433
a. -5.3433
- Find the natural antilogarithm of the number 13.4146.
a. 1.1275
b. 2.5963
c. 259.63
d. 66970.96
e. 669709.96
e. 669709.96
- The antilog of 1.5323 is:
a. 2.3406
b. 34.06
c. .3406
d. 3.406
e. 3.321
b. 34.06
- The common system of logarithms uses _____________ as the base number.
a. 1
b. 100
c. 10
d. 01
e. None of the above
c. 10
- The relationship between common logarithm and natural logarithm can be stated as that the natural logarithm is “X” times as big as the common logarithm where “X” equals?
a. 32.026
b. 23.3026
c. 13.3026
d. 3.3026
e. 2.3026
e. 2.3026
- The logarithm of 135 is:
a. 2.0000
b. 3.1365
c. 2.1365
d. 2.259
e. 2.1303
e. 2.1303
- The logarithm of the number 0.00347 is:
a. 2.5403
b. 1.5403
c. 3.5403
d. -2.5403
e. -2.4596
e. -2.4596
- What is the value of X in the following fractional equation:
X/2 + 3X/4 = 4.5/3
a. 0.83
b. 1.2
c. 1.5
d. 1.66
e. 2
b. 1.2
- When converting the logarithm 3.1635 to a number the number will be:
a. 145.7
b. 213.
c. 2135.0
d. 1457.0
e. None of the above
d. 1457.0
- Using the equations given in the “Handbook of Formulae and Physical Constants,” or the formula F= 9/5C + 32, and K = °C + 273 convert the following Fahrenheit reading to the Kelvins at 68°F.
a. 0 K
b. 20 K
c. 32 K
d. 273 K
e. 293 K
e. 293 K
- The three ratios of a triangle are: 1. Sine 2. Cosine 3. Hypotenuse 4. Tangent
a. 1, 2, 4
b. 1, 3, 4
c. 2, 3 4
d. 1, 2, 3
e. None of the above
a. 1, 2, 4
- As the cosine decreases the:
a. The value of the angle decreases.
b. The value of the angle increases.
c. The value of the hypotenuse decreases.
d. None of the above
b. The value of the angle increases.
- Trigonometry may be defined as:
a. The study of angles.
b. The study of circle parts.
c. The study of triangle measurement.
d. None of the above.
e. All of the above
c. The study of triangle measurement.
- As the value of the sine of an angle decreases, the angle:
a. Increases
b. Remains the same
c. Decreases
d. Doubles
c. Decreases
- An example of a set of complementary angles would be:
a. 45°, 45° and 60°.
b. 60°, 60° and 60°.
c. 75° and 105°.
d. 55° and 45°.
e. 75° and 15°.
e. 75° and 15°.
- By definition, an example of an obtuse angle would be the one of?
a. 98°
b. 188°
c. 79°, 13 minutes and 45 seconds
d. 45°
e. 246°, 30 minutes and 59 seconds
a. 98°
- An obtuse angle is the one that may measure, for example,
a. 135°
b. 180°
c. 33°, 13 minutes and 45 seconds
d. 90°
e. 270°
a. 135°
- An acute angle, by definition, may have a measurement of?
a. 270°
b. 350°
c. 109°, 13 minutes and 45 seconds
d. 186°, 30 minutes and 59 seconds
e. 45°
e. 45°
- One radian is:
a. A single visitor from outer space.
b. The segment of a circle.
c. The sum of complementary angles exceeding 180°
d. The angle formed between two radii when the length of the arc formed by the angle equals the length of the radius
e. 90°
d. The angle formed between two radii when the length of the arc formed by the angle equals the length of the radius
- Reflex angles refer to angles that have a measurement greater than?
a. 45°
b. 90°
c. 120°
d. 180°
e. 270°
d. 180°
- An angle containing 32° 43 minutes 2 seconds is:
a. A right angle
b. An obtuse angle
c. A reflex angle
d. An acute angle
e. None of the above
d. An acute angle
- When measuring angles one radian is equal to?
a. 53.7°
b. 2 Pi
c. 57.3°
d. 360°
e. radius
c. 57.3°
- The tangent of 65° 10 minutes is:
a. 3.2010
b. 2.1609
c. 2.2601
d. 2.3601
b. 2.1609
- A circle has a diameter of 14 mm. How many radians (approximately) has this complete circle?
a. 43.96 radians
b. 21.99 radians
c. 6.28 radians
d. 5.73 radians
e. 0.028 radians
c. 6.28 radians
- In a right angle triangle if the angle remains constant then the ratio of the sides and hypotenuse:
a. Increases
b. Remains constant
c. Decreases
d. None of the above
b. Remains constant
- A tire which turned two and three quarter (2 3/4 ) revolutions has moved an equivalent of how many radians?
a. 6.28 radians
b. 8.64 radians
c. 17.28 radians
d. 171.29 radians
e. 842.4 radians
c. 17.28 radians
- Given that one radian equals 57.3°, then an angle of 229° 12’ is equal to ______ radians.
a. 3.998
b. 13133.16
c. 0.25
d. 4
d. 4
- A circle divided into 25 equal parts would have each sector contain an angle of:
a. 14° 02’
b. 14° 24’
c. 14° 40’
d. None of the above
b. 14° 24’
- The lower end of a 12 m ladder is 3 m away from the wall. Find the height of the wall where the top of the ladder touches.
a. 9.83 m
b. 10.50 m
c. 11.32 m
d. 11.62 m
e. 11.79 m
d. 11.62 m
- A smokestack 60 m high is stayed by guy wires of 58 m length, which make an angle of 45° with the horizontal. What is the distance from the point of attachment to the top of the stack?
a. 15.57 m
b. 18.98 m
c. 26.77 m
d. 36.77 m
e. 41.02 m
b. 18.98 m
- The top end of a 12 m long ladder rests on a vertical wall. The foot of the ladder is 3 m away from the base of the wall. Find the angle of inclination of the ladder.
a. 14.48°
b. 75.52°
c. 78.46°
d. 80.87°
e. 85.00°
b. 75.52°
- A packaged boiler is to be removed from a flat car. The bed of the flat car is 2 m above the ground. What length of skids is necessary if the skids are to make an angle of 25° with the ground?
a. 2.21 m
b. 3.12 m
c. 4.29 m
d. 4.73 m
e. 5.73 m
d. 4.73 m
- Solve the following right triangle ABC, in which C is the right angle. Find c, if a = 2 m, b = 6 m.
a. 7.325 m
b. 6.325 m
c. 6.235 m
d. 6.124 m
e. 5.657 m
b. 6.325 m
- What is the angle of inclination of a stairway with the floor, if the steps have a tread of 20 cm and a rise of 18 cm.
a. 25.8°
b. 36°
c. 42°
d. 48°
e. 64.12°
c. 42°
- A steam plant stack is to be checked for height. The survey instrument is set up at a distance of 80 m from the base of the stack. The angle of elevation to the top of the stack is 32° 18’. If the eye level height of the survey instrument is 6.4 m below the level of the stack base, what is the height of the chimney?
a. 50.57 m
b. 44.18 m
c. 40.29 m
d. 38.57 m
e. 37.17m
b. 44.18 m
- Solve the following right triangle ABC, in which C is a right angle. Find angle A if a = 2 m, b = 6 m.
a. 15.21°
b. 16.25°
c. 17.47°
d. 18.43°
e. 22.43°
d. 18.43°
- The Theorem of Pythagoras states:
In a right-angle triangle, the square of hypotenuse equals the sum of the squares of the other two sides. The mathematical equation for this statement is:
a. b2 = c2 + a2
b. c2 = a2 - b2
c. c2 = a2 + b2
d. a2 = c2 + b2
e. c2 = b2 - a2
c. c2 = a2 + b2
- Solve the following right triangle ABC, angle C is the right angle, a = 4 cm and angle A = 27°. Find b and c.
a. b = 5.85 cm, c = 6.81 cm
b. b = 6.85 cm, c = 7.81 cm
c. b = 7.85 cm, c = 8.81 cm
d. b = 9.75 cm, c = 9.81 cm
e. b = 9.85 cm, c = 10.81 cm
c. b = 7.85 cm, c = 8.81 cm
- A ladder 7.5 m long leans against a wall, and is inclined at 70° to the ground. How far from the wall is the foot of the ladder?
a. 7.14 m
b. 7.04 m
c. 3.57 m
d. 2.57 m
e. 1.97 m
d. 2.57 m
- A ladder 5 m long leans against a wall, and is inclined at 65° to the ground. How high up the wall does the ladder reach?
a. 2.11 m
b. 4.53 m
c. 4.71 m
d. 5.52 m
e. 10.72 m
b. 4.53 m
- A wooden A frame is to be used to remove an air compressor from a truck bed. The top of the A frame must be 4 m from the ground, and the legs are to be 3 m apart at the bottom. What is the length of timbers necessary for the A frame legs?
a. 3.85 m
b. 4.27 m
c. 4.73 m
d. 6.27 m
e. 11.39 m
b. 4.27 m
- From a ship steaming due East at 15km/hr a lighthouse is sighted and appears to be in the direction 60° East of North from the ship. Half an hour later, the lighthouse appears due North of the ship. What is the closest distance between the ship and the lighthouse?
a. 4.33 km
b. 8.66 km
c. 12.99 km
d. 25.98
e. 15 km
a. 4.33 km
- One side of a right angle triangle is 30 cm the angle opposite this side is 38°. The hypotenuse is equal to:
a. 36.2756 cm
b. 41.2700 cm
c. 57.6300 cm
d. 48.7280 cm
d. 48.7280 cm
- A coal conveyor belt, 60 m long, rises at an angle of 18° to the horizontal and then discharges into a bunker. How high above the starting point is the discharge?
a. 12.34 m
b. 15.84 m
c. 18.54 m
d. 19.49 m
e. 57.06 m
c. 18.54 m
- A trapezoid has parallel sides of 5 m and 8 m, and a height of 4 m. Find the area.
a. 17 m2
b. 21 m2
c. 26 m2
d. 30 m2
e. 36 m2
c. 26 m2
- A plane figure is:
a. A diagram of an aeroplane.
b. A figure that could show length and width.
c. A very smooth surface.
d. Any figure that depicts all parts of an object in various planes.
e. None of the above
b. A figure that could show length and width.
- Which of the following are the standards for measurement?
- Imperial measure
- American measure
- Surveyor’s measure
- Standard measure
- Metric measure
- Nautical measure
a. 3, 4, 5, 6
b. 1, 3, 5, 6
c. 1, 2, 3, 5
d. 2, 4, 5, 6
b. 1, 3, 5, 6
