The perpendicular offset distance from a point on a simple curve to Q on the tangent line is 64 m. if the distance from the P.C. to Q on the tangent is 260 m., compute the radius of the simple curve.
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A tape has a standard length at 20°C. was measured at a temperature of 3°C. coefficient of thermal expansion is 0.0000116 m./ °C and its true horizontal length is 865.30 m, what is the measured length?
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The transit is set up at A and a stadia was placed at a distance of 194.20 m. from A. The stadia intercept was recorded to be 1.94. If the stadia constant is 0.30, determine the stadia interval factor.
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Find the slope of the line having the parametric equation y = 4t + 6 and x = t + 1.
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Find the volume of a cone to be constructed from a sector having a diameter of 72 cm. and a central angle of 150°.
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From a speed of 60 kph, a train decelerates at the rate of 2 m/min2. along the path. How far in meters will it travel after 14 minutes?
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Given a compound curve with I1 = 28°, I2 = 31°, D1 = 3°, D2 = 4°. Compute the stationing of the P.C.C. if P.I. is at station 30 + 120.5
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Using the prismoidal correction formula, compute the corrected volume of cut and fill between stations 70 m. apart if the areas of irregular sections in cut at the stations are 26 sq.m. and 84 sq.m. respectively. Base width = 8m., sideslope is 1:1.
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The volume of the water in a hemisphere having a radius of 2m. is 2.05 m3. Find the height of the water.
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Determine the diameter of a closed cylindrical tank having a volume of 11.3 cu.m. to obtain minimum surface area.
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Determine the velocity sum of the progression if there are 7 arithmetic mean between 3 and 35.
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The boat travels downstream in 2/3 the time as it does going upstream. If the velocity of the river current is 8 kph, determine the velocity of the boat in still water.
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Compute the distance between the directress of the curve 9x2 + 25y2 – 54x – 250y + 481 = 0
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Evaluate the integral of 5 Cos6 x Sin2 x dx if the upper limit is π/2 and the lower limit is zero.
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Given the two sides of the triangle ABC as AB = 2 cm, BC = 8 cm. Find the possible length of side AC.
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A circle having an area of 452 m2 is cut into two segments by a chord which is 6m. from the center of the circle. Compute the area of the biggest segment.
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Compute the equivalent rate of 6% compounded semi-annually to a rate compounded quarterly.
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A trough having an equilateral triangle end sections has sides equal to 0.3 m. and 6 m. long. Find the volume of water in container if the depth of water is one half the depth of the trough.
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The area bounded by the curve y = 2x1/2 and the line y = 6 and the y-axis is to be revolved at the line y = 6. Determine the centroid of the volume generated.
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The log of the quotient M/N and the log of the product MN is equal to 1.55630251 and 0.352182518 respectively. Find the value of M.
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