SET 8 (p. 123) Flashcards

1
Q
  1. A present investment of P50,000 will yield an annual net savings of P18,500 for a period of 10 years. Compute the present worth index if MARR is 10%.
A

2.27 (p. 127)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
2
Q

3: A parabolic curve, 420 m long is connected by tangents having an upgrade of +5.4% and a downgrade of -3% intersecting at station 6 + 840 at elevation 112.5 m. Find the stationing of the highest point of the curve.

A

6 + 900

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
3
Q

7: Find the volume of the largest right circular cylinder which can be inscribed in a sphere of radius 12 cm.

A

9.24 in (p. 129)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
4
Q

9: How many terms of the progression 3, 5, 7, 9 …. will be taken so that their sum will 2,600?

A

50

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
5
Q
  1. An optical scanning machine was purchased for P250,000 and has a salvage value of P20,000 at the end of its life. if this is depreciated for a period of 8 years, determine the worth of the equipment in the 3rd year after deducting depreciation charges using the MACRS method.
A

P123,046.87

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
6
Q
  1. The average of 11 numbers is 10. One of the numbers is eliminated leaving only 10 numbers. If the average of the remaining numbers is 9.3, what number is eliminated?
A

17

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
7
Q

14: The observed interior angles are of a triangle are A = 46°15’52”, B = 48°15’05”, and C = 85°14’54”. Determine the most probable value of angle B?

A

48°19’48”

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
8
Q
  1. A 30 m tape which is of standard length at 20° C is used to measure a line with a measured distance of 684 m. The temperature during the time of measurement was 48° C. If the coefficient of thermal expansion of the tape is 11.6 x 10^-6 m/m °C, determine the corrected length of the line.
A

684.356 m

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
9
Q
  1. Is the ability of a soil to support the weight of vehicles under repeated traffic.
A

trafficability

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
10
Q
  1. Find the equation of the curve which passes through ( 2, -1 ) satisfying the condition that at any of its point ( x, y ) the slope is x²/( y-1 ).
A

2x^3 - 3y² + 6y = 7 (p. 131)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
11
Q
  1. A right circular cylindrical tank of radius 4 ft and height of 12 ft is half full of oil weighing 60 pounds per cubic foot. Find the work done in ft-tons in pumping the oil to a height 6 ft above the top of the tank.
A

124 (p. 131)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
12
Q
  1. A stadia intercept reading of 3.2 m was taken on a rod using a transit having a stadia interval factor of 100 and stadia constant of 0.3 m. If the line of sight is inclined at an angle of 2°45’, determine the horizontal distance from the transit to the rod.
A

319.56 m

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
13
Q
  1. Find the radius of curvature for the curve y = e^x at the point ( 0, 1 ).
A

2√(2) (p. 132)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
14
Q
  1. A triangle has sides 10 cm, 18 cm, and 20 cm. Compute the radius of the inscribed circle.
A

3.74 cm

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
15
Q

Given the equations of two A and B: circle A: x^2 + y^2 = 64 and circle B: x^2 + y^2 - 16x = 0.
31: Find the radical axis of the two circles.

A

4 (p. 133)

How well did you know this?
1
Not at all
2
3
4
5
Perfectly
16
Q

A plane region is bounded by the parabola x^2=16y, the line x=12, and the x-axis.
38: Compute the moment of inertia of the plane region with respect to the x-axis.

A

661.21 (p. 134)

17
Q
  1. Represent the family of circles with their centers on the x-axis by a differential equation.
A

1 + yy” + (y’)² = 0 (p. 134, 135)

18
Q
  1. A construction material which is composed of individual particles larger than about 6 mm in diameter but smaller than 76 mm.
A

gravel

19
Q
  1. A triangle ABC has sides AB = 12 cm, BC = 15 cm, and AC = 21 cm.
    Find the area of the triangle.
A

88.18 cm²

20
Q
  1. A triangle ABC has sides AB = 12 cm, BC = 15 cm, and AC = 21 cm.
    Find the length of the angle bisector of angle B from vertex B to the intersection of side AC.
A

8.43 cm

21
Q
  1. Give the equation of the curve: y = (2x-1/x+2). Compute the equation of the horizontal asymptote of the curve.
A

y = 1/2

22
Q

56: The volumes of a sphere and a right circular cylinder are equal and the diameter of the sphere equals the diameter of the base of the cylinder. Determine the altitude (h) of the cylinder in terms of the diameter (D) of the sphere.

A

h = 3/2 D

23
Q

58: Two radio towers are standing on a level ground. The first is 132 ft tall. From a point part way up the second, it is observed that the angle of elevation of the top of the first tower is 55 degrees while the angle of depression of its base is 33 degrees. How far apart are the towers?

A

63.50 ft

24
Q

59: An ellipse has its major axis on the x-axis, center at (-3, 0), one of the vertices at (-5, 0) and length of latus rectum equal to 1. Find its equation.

A

(x + 3)^2 + 4y^2 =4 (p. 58)

25
Q

62: The volume of a square pyramid is 384 m^3, and its altitude is 10 m.
Compute the total surface area of the pyramid.

A

358.70 m^2

26
Q
  1. Factors to be considered for the warrant for the use of safety barriers.
    I. Front slope or back slope nose and height
    II. Unforgiving hazards within the clear zone
    III. Water hazards within the clear hazard
A

All of the above

27
Q
  1. An equipment costs P450,000 and will have a salvage value of P6,000 at the end of 10 years. Using sum of the years digit method of computing depreciation, find the book value of this equipment after 5 years.
A

P127,091

28
Q
  1. It is the difference between the actual travel time of a given segment of a transportation system and some ideal travel time for that segment.
A

delay

29
Q
  1. In the chemical processing of a certain mineral, the rate of change of the amount of mineral present varies as the amount of the mineral remaining. After 8 hours, 100 pounds of mineral have been reduced to 70 pounds.
    What amount of the mineral remains after 24 hours?
A

34.30 (p. 12)

30
Q
  1. The following are the types of joints in cement concrete pavement, except
    A. Expansion joint
    B. Warping joint
    C. Contracting joint
    D. Forming joint
A

D