1-Draw the profile section with (V.S. = 1/50 and H.S. = 1/2500). 2-Calculate and draw the elevation of stations on the grade elevation (known with a grade elevation =20.00 m at station 0+00) the slope downgrade = 0.5% with the station 0+00 till station 4+00. Use data below: station Ground elevation Grade elevation 0+00 17.55 20.00 1+00 18.80 2+00 18.45 2+40 18.80 3+00 19.35 4+00 20.15
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- 7. The figure for this question contains the cross section dimensions for stations 25 and 26 of a roadway. If the road bed is 35 feet, and the distance between the stations is 100 feet, calculate the volume of excavation using the average-end-area and correct the value using the prismoidal correction formula. Station Left Center Right 25 C 7.5 C 6,3 C 4.2 22.4 0.0 21.6 C 8.2 C 5,3 24.1 26 C 12.9 38.6 0.0 O A. 1205 yd о В. 784 yd OC. 1227 yd O D. 1246 yd 8. The figure for this question contains the cross section dimensions for stations 25 and 26 of a roadway. If the road bed is 35 feet, calculate the area, in square feet, of cross section 25. Station Left Center Right 25 C 7.5 С 6.3 C 4.2 22.4 0.0 21.6 26 C 12.9 C 8.2 C 5.3 38.6 0.0 24.1 O A. 416.32 O B. 226.35 O C. 240.98 O D. 297.85 15. The figure for this question contains the cross section dimenslons for stations 25 and 26 of a roadway. If the road bed is 35 feet, calculate the volume of excavatlon using the average-end-area method.…The height of a certain hill (in feet) is given by h(x, y) = 10 (2xy - 3 x^2 - 4y^2 -18x +28y + 12), where y isthe distance in miles (north), x the distance east of South Hadley, Massachusetts.a.) Where is the top of the hill located? b.) How high is the hill? c.)How steep is the slope (in feet per mile) at a point 1 mile north and one mile east of South Hadley? Inwhat direction is the slope steepest, at that point? d.) Make a contour map and a 3D plot of the area surrounding South Hadley, from 8 miles west to 4 mileseast, and 2 miles south to 8 miles north. Plot only positive heights on the 3D graph; use If to help youout1. Suppose that a person has an average heart rate of 72.0 beats/min. Assume that a year has 365 days. Note the significant figures in each question. Note: When entering the answer in the box use the asterisk symbol (*) for multiplication or the multiplication symbol in the math editor (orange box). (a) How many beats does he or she have in 2.0 years? 7.5.107 (b) In 2.00 years? X (c) In 2.000 years? X Think & Prepare 1. How many significant digits are there in the number of heart beats? 2. How many significant digits are there in the number of years? 3. Which quantity is less precise? 4. When you multiply both quantities, what will be the precision of the product? ! No, that's not the correct answer. Try Again You have z attempus, remaining to improve your score. Before
- 5. Find the elevation and distance from the centerline for the point P (drawing not to scale). 1 q elev 483 5 14 14 slope -0.75 ft/ft P elev 478 -0.10 ft/ft16. How many significant figures are there in 60.5? Express your answer in numbers (1,2,3,4,5, etc.) only and do not type in "sf" "sig fig" or "significant figures" after. Enter your answer 17. How many significant figures are there in 600.0? Express your answer in numbers (1,2,3,4,5, etc.) only and do not type in "sf" "sig fig" or "significant figures" after. Enter your answer18. How many significant figures are there in 320? Express your answer in numbers (1,2,3,4,5, etc.) only and do not type in "sf" "sig fig" or "significant figures" after. Enter your answer 19. Carry out the operation. Express the answer by rounding it off to the correct significant figures. 7.310/5.70 1.282 O 1.30 1.28 1.2825
- Use scientific notation to express each of the following quantities with only the base units (no prefix multipliers). 129 pm Express your answer to three significant figures. 8.7 ns Express your answer to three significant figures. 12 fs Express your answer to two significant figures. 34 um Express your answer to two significant figures.3. Solve to the significant number of digits (a) 25.3456 + 888.010 + 53.11 +7-1.0 (b) (45.805*2.00)/5.0 + 0.129. The amount of water in reservoirs is often measured in acre-ft. One acre-ft is a volume that covers an area of one acre to a depth of one foot. An acre is 43560 ft2. Find the volume in SI units of a reservoir containing 25.0 acre-ft of water.
- Practice) a. To convert feet (ft) to meters (m), the number of feet should be multiplied by which of the following conversion factors? i. 1 m/3.28 ft ii. 3.28 ft/1 m b. To convert sq.in to sq.ft, the number of sq.in should be multiplied by which of the following conversion factors? i. 144 sq.in/1 sq.ft ii. 1 sq.ft/144 sq.in c. To convert sq.yd to sq.ft, the number of sq.yd should be multiplied by which of the following conversion factors? i. 1 sq.yd/9 sq.ft ii. 9 sq.ft/1 sq.yd 3. (Practice) Determine the final units of the following expression: 9.8m/s2 ×100cm/1m×1in/2.54cm×1ft/12in 4. (Practice) a. Determine the conversion factors that can be used to convert miles per gallon (mpg = mi/gal) to kilometers per liter (km/liter), given that 1 liter = 0.22 gallons and 1 kilometer = 0.6214 miles. b. Using the conversion factors you determined in Exercise 4a, convert 25 mpg into km/liter. 5. (Automotive) a. An automobile engine’s performance can be determined by monitoring its rotations per…"You are out for an early morning walk. You walk 5.0 m, South and 12.0 m, East. Then, you decided to walk further and go 4.0 m, Southwest and 6.0 m West. How far are you now from your starting point and in what direction? Tip: 1. Solve for "x1 to x4" and "y1 to y4" using trigonometric function 2. Find the total "x" and total "y". 3. Solve for resultant and angle10 mL 9 24 mL 8 mL 7 Measuring Тool 25 mL 7 mL Volume, mass and/or length measurement (with units) Measuring Тol 8 cm 9 cm Volume, mass and/or length measurement (with units) Page 13 of 14