At 9:00AM, ship B is 65 km due east of another ship A. Ship B is then sailing due west at 10 km/h and A is sailing due south at 15 km/h. If they continue on their respective courses when will they be nearest one another?

Q: A sailboat that is 2 km due west of a lighthouse sends a signal to the lighthouse that it is in…

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Q: As shown in the diagram, S represents a water station located on a straight coast on land, and E is…

A: The underwater length of pipe is:  PE=x2+30002

Q: A search plane has a cruising speed of 250 miles per hour and carries enough fuel for at most 5…

A: Given: Cruising Speed of plane=250 miles per hourTotal time=5 hoursAverage wind speed=30 miles per…

Q: A ship is headed due north at a constant 18 miles per hour. Because of the ocean current, the true…

A: We have a triangle with sides of length 18 and 16,and an angle of 15° - 0° = 15° opposite…

Q: Three mathematics students have ordered a 14-inch pizza. Instead of slicing it in the traditional…

A: Given, Three mathematics students have ordered a 14-inch pizza. Instead of slicing it in the…

Q: For numbers 15-17 two parts that are 10 ft. apart is y = 46cosh()-25 15. What is the length of the…

A: According to our guidelines, we can only answer the first question. So rest can be reposted.

Q: Suppose you are standing such that a 40-foot tree is directly between you and the sun If you are 5…

A: Given,         Suppose we are standing such that a 40-foot tree is directly between you and the sun.…

Q: When is the line ax+ by = c parallel to the y-axis? To the x-axis?

A: ax+by+c=0        When a=0, then the line equation becomes               bx+c=0…

Q: A pilot flies in a straight path for 1 h 30 min. She then makes a course correction, heading 10…

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Q: Find the point (xo, yo) on the line 4x + 9y = 12 that is closest to theong1n.

A: Given: 4x+9y=12 Let the distance between the point (x0, y0) and origin be D As it is given that the…

Q: 2. Two spotters of tornado are on a road running east-west and are 35 miles apart. The west man…

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Q: The TOUR de France is happening on the 26th June 2021 from BREST to MÜR DE BRETAGNE. Mark cycles…

A: The relationship between the distance, speed, and time is defined using the formula:…

Q: A cyclist, after riding a certain distance, stopped for half an hour to repair his bicycle, after…

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Q: At 9:00 Am, ship B is 65km due east of another ship A. Ship B is then sailing due west at 10km/h and…

A: Let the distance between the ships after t hours is x km.   so, in t hours the distance traveled by…

Q: At noon, ship A is 20 kilometers north of Ship B. Ship A is traveling south at 50 kilometers per…

A: Ships at Initial positions = A and B Positions of ships after time t =C and D Then AC=50t (in Km)…

Q: At 9 AM, ship B is 65 miles due east of another ship A. Ship B is then sailing due west at | 10…

A: Given

Q: At 3:00 PM, a boat is located 12.5 miles due west of a radar station and is traveling at 11 mph in a…

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Q: A small resort is situated on an island off a part of the coast of Mexico that has a perfectly…

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Q: A small radio transmitter broadcasts in a 38 mile radius. If you drive along a straight line from a…

A: Given: Radius of radio transmitter broadcasts=38 miles and you drive along a straight line from a…

Q: A small resort is situated on an island off a part of the coast of Mexico that has a perfectly…

A: Let P be the shore point Let R be the resort Let S be the point where the pipe gets the water.

Q: The midpoint of AB is at (- 4, - 2). If A = (0, 10), find B. B is:(

A:

Q: Pat and Mel decide to test their new walkie-talkies, which have a range of six miles. Leaving from…

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Q: A yacht is travelling on a course parallel to and 80 kilometers from the straight shoreline of…

A: Given,         A yacht is traveling on a course parallel to and 80 kilometers from the straight…

Q: A man in a rowboat at P in Fig. 14-3, 5 mi from the nearest point A on a straight shore, wishes to…

A: Assume x be the distance between the shore and the point at which the man lands. So, to reach point…

Q: A ship is headed due north at a constant 24 miles per hour. Because of the ocean current, the true…

A: Given: A ship is headed due to north at a constant 24 miles per hour. Because of the ocean current…

Q: A man on an island k km south of a straight shoreline wants to reach a point on the shore c km west…

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Q: A ship is headed due north at a constant 22 miles per hour. Because of the ocean current, the true…

A: To Determine: A ship is headed due north at a constant 22 miles per hour. Because of the ocean…

Q: Consider two paths, Y1 (t) = t(1+i) –-1 and 2(t) = 2+ i(2+t). %3D Do the two path intersect? If they…

A: Point of intersection means the point at which two curves intersect

Q: A train 220 m  long is running with a speed of 59 kmph .In what time will it pass a man who is…

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Q: ABCD is a parallelogram, if AO = x+4. BO = 2y-6. CO 3x-4, an DO = y+2, solve for x and y . 2y-6 3x-4…

A: Diagonal of Parralelogram bisect each other with equal length.

Q: An airplane is flying at an airspeed of 600 km/hr in a cross-wind at 50 km/hr that is blowing from…

A: Given: A  = The Airspeed     = the speed of airplane in wind. = 600 km/h  (Black vector) w = The…

Q: Two automobiles leave a city at a same time and travel along straight highways that in differ in…

A: Topic:- trigonometry

Q: Lara and Sheila both starts from point A and drive along perpendicular roads. AB and AC…

A: Speed of lara is 45 km/hr ⇒dxdt=45 speed of shelia is 40 km /hr ⇒dydt=40 Shelia starts one hour…

Q: A boy is flying a kite at a height of 150 ft. If the kite moves horizont ally away from the boy at…

A: Topic = Triangle

Q: If a plane flies 500 mph in calm air and the rate of the wind is r miles per hour, then the rate of…

A: Given that a plane flies 500 mph in calm air and the rate of the wind is r miles per hour. To find:…

Q: At what points will the line y=x intersect the unit circle x2  + y2 =1?

A:

Q: You are standing on the bank of a river that is 100 m wide, and see someone needing help 300 m up…

A: bank of a river is 100m widesomeone needing help 300m up the opposite shoreswim=3m/srun=5m/sTo what…

Q: A boat leaves Oakville and heads due east for 5km as shown in the diagram at the left. At the same…

A: To find the distance between the two boats when they reach their destination

Q: Two cars F and G leave simultaneously from the same point O. Car F goes east at an average speed of…

A: As the starting point of the cars is O thus let the distance covered by car F in one hour be OF and…

Q: The exact value of x and y is

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Q: Suppose newly-baked cupcakes are taken out of the oven, set at 100 degrees. The room temperature is…

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Q: A rope is to be hung between two poles 40 feet apart. If the rope assumes the shape of the catenary…

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Q: For what values of a and b is the line 4x+y=b4x+y=b tangent to the curve y=ax3y=ax3 when x=5x=5? a=…

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Q: A small house was built on an island off a perfectly straight shoreline. The point B on the…

A: The given figure is: To find the formula for the cost of laying the pipe in terms of x.

Q: If point A is reflected over the y-axis and its original location was (2,3), where is its new…

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Q: what point will you be indifferent between your current location and the new location?

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Q: A bus traveling at a rate of 60 mph overtakes a car traveling at a rate of 45mph. If the car had a 1…

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Q: Luna calculates d, and also the distance d, from the point E to the line through D and F and notices…

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Q: The perpendicular from the origin to the line y = mx + c meets it at the point (-1, 2). Find the…

A: The solution for the above solution is as shown below.

Q: Two motorcycles start at the same point. One motorcycle travels 15km due north and stops. The second…

A: