A train, starting at noon, travels north at 40 ml per hr. Another train, starting from the same point at 2 P.M., travels east at 50 mi. per hr. Find, to the nearest mile per hour how fast the 2 trains are separating at 3 P.M.

Q: If the work required to stretch a spring 2 ft beyond its natural length is 12 ft-lb, how much work…

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Q: A cylinder with a diameter of 15 inches and a height of 18 inches is placed inside a cube with…

A: Given, Cylinder: Diameter=15 inches Height=18 inches Cube: Dimension(side)=18 inches     Find How…

Q: (b) If its' owner uses 3 pipes of radius 4cm, with water flowing at a rate of 30cm/s, how long will…

A: (a) Area of circuler face= pi*r2  =pi*102 = 314 cm2.                    (pi=3.14)

Q: If the work required to stretch a spring 3 ft beyond its natural length is 6 ft-lb, how much work…

A: In this question, we find the work done by stretching the string 18 in beyond its natural length. By…

Q: A Sphere of diameter 6 cm is dropped in a right cylindrical vessel party filled with water. The…

A: Let the level of the water rises in the cylindrical vessel is 'H'. So, The volume of the cylinder…

Q: A steel cable providing tension on a power pole is anchored 16ft from the pole and reaches 12 feet…

A:

Q: nearest

A: Given Length of pipe = 25 ft Volume of pipe = 900 ft3

Q: A hose has a radius of approximately 0.5 in. and a lengthof approximately 20 ft. By what factor does…

A: Assume radius of the hose be r and length be l. Given, r=0.5 inches and l=20 ft

Q: A swimming pool is built in the shape of a rectangular parallelepiped 8 ft deep, 15 ft wide, and 20…

A: Given that: Depth of the rectangular parallelepiped: d=8 ft. Width of the rectangular…

Q: A solid has volume and surface area equal to 1200 cu.in and 800 sq. in, respectively. What is the…

A: For two similar solid ,Ratio of volume and surface area is always equal.we use this fact to solved…

Q: A pipeline, is approximately 700 mi long. Assuming that it has a uniform 60 in. inside diameter,…

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Q: An open box is to be made by cutting small squares from the corners of rectangular board and then…

A: let "x" be the length of the side of the square cut.Length= 8-2xWidth = 6-2xHeight =xVolume =…

Q: A tank, measuring 30cm x 40cm x 50cm, contains 2 identical cubes. Water is then poured into the tank…

A: Given data is : A tank, measuring 30cm x 40cm x 50cm, contains 2 identical cubes Volume of…

Q: If the work required to stretch a spring 1 ft beyond its natural length is 15 ft-lb, how much work…

A:

Q: An open box is to be made from a 16 cm by 30 cm piece of cardboard by cutting out squares of equal…

A: according to our guideline we are supposed to answer only the first question if we want any…

Q: A 500-lb cable is 300 feet long and hangs vertically from the top of a building. How much work (in…

A: Given:  Weight w=500-lb Length L=300 ft

Q: A trough is 10 ft long and its ends have the shape of isoscelestriangles that are 3 ft across at the…

A:

Q: A 5 cm cube is cut into as many 1 cm cubes as possible. What is the ratio of the surface area of the…

A:

Q: A cylinder has a base diameter of 8 feet and a height of 5 feet. What is its volume in cubic feet,…

A: Given that Diameter of a cylinder is 8 feet. Height of a cylinder is 5 feet To find Volume of a…

Q: The rectangular tank shown here, with its top atground level, is used to catch runoff water. Assume…

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Q: A cylindrical storage tank has a depth of 5 ft and a radius measuring 2 ft. If each cubic foot can…

A: Given that Height of cylindrical tank is 5 ft. Radius of the cylindrical tank is 2 ft.   It is known…

Q: A balloon 30.7 m in radius is to be filled with helium. How many m3 of helium are needed to fill it?

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Q: the grade 12 students wants to use a log of a fallen tree to build a container in the form of a…

A: the grade 12 students wants to use a log of a fallen tree to build a container in the form of a…

Q: The side of a cube is increasing at a rate 7m/s, then the rate at which the volume of the cube…

A: Let s be the side of the cube in meter and V be the volume of the cube and t be the time in…

Q: The volume of a cube is growing at a rate of 225 ft3/min, and the length of a side is 5 ft. What is…

A: I am going to solve the problem by using some simple calculus to get the required result of the…

Q: How much work is required to pump all the water from a right circular cylindrical tank, that is 8…

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Q: The volume of a cube is increasing at a rate of 60 in3/sec. At what rate is the length of each edge…

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Q: If the total surface area of a solid right circular cylinder is 200pi sq. cm. and its radius is 5cm,…

A:

Q: the tires of a bicycle have a radius of 14inches and are turning at the rate of 230 revolutions per…

A: Given that the tires of a bicycle have a radius of 14inches and are turning at the rate of 230…

Q: A 200-lb cable is 100 ft long and hangs vertically from the top of atall building. How much work is…

A:

Q: How much work is required to pump all the water from a right circular cylindrical tank, that is 8…

A:

Q: A block of wood is 2.5 feet long, 0.5 feet wide, and 0.25 feet tall. It weighs 16.5 pounds. To the…

A:

Q: If the work required to stretch a spring 3 ft beyond its natural length is 12 ft-lb, how much work…

A: Solution: the objective is to find the work needed to stretch it 9 in beyond its natural length

Q: A cylinder has a base diameter of 6 feet and a height of 2 feet. What is its volume in cubic feet,…

A: The detailed solution is as follows below:

Q: A 400-lb cable is 250 feet long and hangs vertically from the top of a building. How much work is…

A: Data given

Q: The side of a cube increases at a rate of 7 meter /second. Then the rate at which the volume of the…

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Q: A uniform cable hanging over the edge of a tall building is 40 feet long and weighs 60 pounds. How…

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Q: How many square meters of canvass are required for a conical tent 5.5 m high and 3 m diameter if 10%…

A: We know that the curverd surface area of cone :SA=πrh2+r2where r = radius and h = height

Q: A mountain cabin has a single room 20 ft by 10 ft by 9 ft high. What is the total volume (in ft3) of…

A: From the given information, it is observed that the dimension of the room is 20 ft × 10 ft × 9 ft.…

Q: A cylinder has a base diameter of 16 feet and a height of 4 feet. What is its volume in cubic feet,…

A: the objective is to find the volume of the cylinder.

Q: The wheels on a racing bicycle have a radius of 10 inches. How fast is the cyclist traveling in…

A: Circumference of wheel = 2πr                                  = 2 × 22/7 × 10 inches Distance…

Q: The volume of a cube is increasing at a rate of 68 in3/sec. At what rate is the length of each edge…

A: Given Volume of cube increasing at a rate of 68 in3/ secTo the rate of change of length of each edge…

Q: A pile of snow is plowed into the shape of a right cone. How many trucks with a capacity of 10 yd3…

A: Here we will find number of trucks required ,

Q: There is an order to infuse normal saline at 25 drops per minute and a tubing set that says there…

A: Given, Flow rate = 25 drops/min Drop Factor = 15 drops/ml Volume = 1 liter              = 1000 ml

Q: 4. The water in a hemispherical bowl, 42 cm across the top, is 9 cm deep. How much more water is…

A:

Q: A cubic material is to be made by welding 6 square metal sheets each has a side of 3.5ft and a…

A: Let's find cost of construct the cube.

Q: A cone has a volume that is 350 cubic meters. What is the volume of a similar cone that is twice as…

A: Given, Volume of 1st cone = 350 cubic meters To find the volume of a similar cone that is twice as…

Q: At average rates, how long would it take to completely remove 15 cm of soil? 8.

A: Given-    Average rate of cropland  erosion =6mm decade         Average rate of soil formation…

Q: If the work required to stretch a spring 3 ft beyond its natural length is 12 ft-lb, how much work…

A: