Lara and Sheila both starts from point A and drive along perpendicular roads. AB and AC respectively, as shown below. Lara drives at a speed of 45km/hr and Sheila travels at a speed of 40km/hr If Sheila begins one hour before Lara, at what rate are their cars separating three hours after Sheila leaves?

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: For points (x, y ) in quadrant I, the ratio x /y is always positive because x and y are always…

A: we know that for points x,y in quadrant 2, the ratio xy is always negative because x is always…

Q: 14. Two planes leave the same airport travelling along straight paths that differ in direction by…

A:

Q: .When a ship sank, the only 3 survivors swam off in different directions. They each swam at the same…

A: Given, 3 survivors Same swimming speed Positions after 1 hour= X,Y and Z.

Q: A straight river flows east at a speed of 10 mi/h. A boater starts at the south shore of the river…

A: Let u be the relative speed of the motorboat, with respect to  the water. If v be the speed of the…

Q: If a and b are the lengths of the legs of a right triangle and c is the length of the hypotenuse, c2…

A:

Q: An air ambulance is travelling from Barrie to Toronto. Toronto is located 90 km [S5°E] of Barrie. If…

A:

Q: Find AA, in lowest terms, if the graphs of the equations Ax−11y=−2 and −5x+13y=7 are

A:

Q: The position of a body moving on a coordinate line is given by s = t2 – 4t – 3 for 0 <t< 4, with s…

A:

Q: A ride at an amusement park consists of two circular rings of swings. At full speed, the swings in…

A: The answer is found in step-2

Q: The total revenue and total cost (both in dollars) for selling q Objects are given by TR(q) 800g –…

A: when a function is increasing its derivate is &gt;0 but when its decreasing its &lt;0

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: csc?y dy is equal to A -у соty — coty dy B) None у сoty — coty dy D у сoty + coty dy

A:

Q: A man is flying in a hot-air balloon in a straight line at a constant rate of 4 feet per second,…

A: The rate of flying is 4 ft/sec. The toal time is 1.5 minutes, i.e. 90 second. The distance covered…

Q: A boatman wants to cross the canal that is 3 km wide and wants to land at a point 2km upstream from…

A:

Q: To which coordinate axes are the following cylinders in ℝ3 parallel: x2 + 2y2 = 8, z2 + 2y2 = 8, and…

A: The cylinders x2+2y2=8, z2+2y2=8 , and x2+2z2=8. We have to find to which coordinate axes are the…

Q: * the lines 2x . 3y 1=0 and 3x - y -4 = 0 ke along diameters of a circle of circumference 10 , then…

A: The equation of a circle centered at h,k is defined by the equation, x-h2+y-k2=r2, where r is the…

Q: If l1 is parallel to l2 and m1 = - 1/4, then m2 is

A: When two lines l1 and l2 are parallel to each other having slope m1 and m2, then their slopes are…

Q: The distance from the point S(1,1,0) to the line 3t, z = 2 - t is -T = 1- 2t, y = %3D |3D اخترأحد…

A: Givne that  The point S(1,1,0) line x=1-2t,y=3t,z=2-t To find distance from the point to the line

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

A:

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

A:

Q: (a) At what point do the curves ri = (-4+t, -6 – 2t, 7+ 2t + t2) and r2 = (-5 – 2s, -4 +3s, 6 + s?)…

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

Q: The diagram above shows a quadrilateral OABC. Straight line OB and AC intersects at point D. Given…

A:

Q: Look at this diagram: R. V W Y If SU and are parallel lines and mSTR = 110°, what is mZVWT?

A:

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

A: According to cosine formula b2=a2+c2-2ac cos B . Here A,B,C represents the angle of the triangle .

Q: Two planes leave a port at the same time and travel for two hours. One travels 42 miles in a…

A: Please refer the attached image for complete solution.

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: If I is parallel to m, find the value of y. * (4x - 50)° m (2x + 30)°/(v)°

A:

Q: Find the length of the line given by r(t) = ⟨t, 2t⟩, for a ≤ t ≤ b.

A: To determine: The length of the line given by rt=&lt;t,2t&gt; for a≤t≤b

Q: At 9 am a car A began a journey from a point, traveling at 40 mph. At 10 am another car B started…

A: and velocity  of car B = 60mph, started at 10 am Both travelling in same direction  To find; At what…

Q: A straight river flows east at a speed of 8 mi/h. A boater starts at the south shore of the river…

A: Let the boater starts from A. And he wants to go to B. It has to go in direction of AC to reach to…

Q: There are three collinear points A, M and E. M is in between A and E. Segment AM equals 3x+1.…

A:

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: Consider the following diagram of a transverse line to a pair of parallel lines, l1 and l2. (2x…

A: Given : l1 and l2 are parallel lines.

Q: Two children are throwing a ball back-and-forth straight across the back seat of a car. The ball is…

A:

Q: Ex(7): Find the coordinate of the point which divides the line segment from 3 (2,-3) to (-1,4) in…

A:

Q: A pilot is flying from Daytona Beach to Prescott. The two cities are 1874 miles away from one…

A: Let speed of light  = Va         wind speed  = Vw = 12mph  let flight flying direction WαN       ⇒…

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 ships leave port at the same time. One ship travels at a speed of 18 mi/hr in the direction N…

A: First ship goes 18 mph for one hour. Hence, the first ship travels 18×1=18 miles. Similarly, second…

Q: Fit a straight line to the x and y in terms of weight and height in the first two columns.

A: Linear regression is statistics is an inferential procedure to predict the value of one variable…

Q: The shadow of a tower standing ona level plane is found to be 30m longer when the Sun's altitude…

A: Given : Shadow of a tower is found to be 30 m longer when sun altitude angle change from 60 to 45

Q: A Ferris wheel is elevated 1m above the ground. When a car reaches the highest point on the Ferris…

A: Given: A Ferris wheel is elevated 1m above the ground. When a car reaches the highest point on the…

Q: If I is parallel to m, find the value of y. * (4x-50)° m (2x + 30)°/v)°

A: We can use the concept of parallel lines and angle of straight line in order to solve the given…

Q: If r (t) = (csc³t · sinºt)i + (sec³t · cost)j + 5k. Then, %3D T=.. N= .. B= k=

A: By Bartleby rules, only first three sub-parts have been answered Given parametric curve is…

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

A:

Q: * the lines 2x • 3y + 1 = 0 and 3x - y - 4 = 0 ke along diameters of a circle of circumference 10 n,…

A:

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 children are throwing a ball back-and-forth straight across the back seat of a car. The ball is…

A: Let AB be the motion of the car down the road and AC represent the motion of the throw 6 mph…

Q: If Car A is travelling north at 50 km/h and Car B is travelling south at 60 km/h, the velocity of…

A: