SET 8 (p. 123) Flashcards
- 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%.
2.27 (p. 127)
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.
6 + 900
7: Find the volume of the largest right circular cylinder which can be inscribed in a sphere of radius 12 cm.
9.24 in (p. 129)
9: How many terms of the progression 3, 5, 7, 9 …. will be taken so that their sum will 2,600?
50
- 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.
P123,046.87
- 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?
17
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?
48°19’48”
- 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.
684.356 m
- Is the ability of a soil to support the weight of vehicles under repeated traffic.
trafficability
- 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 ).
2x^3 - 3y² + 6y = 7 (p. 131)
- 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.
124 (p. 131)
- 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.
319.56 m
- Find the radius of curvature for the curve y = e^x at the point ( 0, 1 ).
2√(2) (p. 132)
- A triangle has sides 10 cm, 18 cm, and 20 cm. Compute the radius of the inscribed circle.
3.74 cm
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.
4 (p. 133)