A cruise ship begins its journey from Port 0 to its destination of Port C with intermediate stops over two ports at A and B as shown in Figure Q4(b). The ship sails 100 km in the direction 30° to northe ast to Port A. From Port A, the ship sails 180 km in the direction 20 north east of PortA to Part B. The last leg of the cruise is from Port B, the ship sails 300 km to Port C'in the direction of 15° northwest to the north of Part C Compute the total distance the ship travelled from Port O to Port C. North) 15 20° West) 30 (East) (South) Figure Q4(b)

Q: Consider the triangle AABC with sides a 5 and b = 4, and ZA = 120°. Use the Law of Sines to…

A:

Q: Assume the rod is connected to the wheel 8" from the wheel axle. If the axle is coordinate (0,0),…

A: The wheel is rotated 1234°counter clockwise direction. When it rotates, after 360°, it completes one…

Q: Object A is traveling along a circle of radius 2, and Object Bis traveling along a circle of radius…

A: Consider that the object A and object B both are travelling along a circle of radius 2 and radius 5…

Q: The propellers for a toy boat are manufactured by stamping out a rose with n petals and then bending…

A:

Q: EXERCISE 9.1 L A circus artist is climbing a 20 m long rope, which is tightly stretched and tied…

A: Given: In right triangle △ABC: AC is the length of the rope which climbing by the circus artist…

Q: The measure of ABC is 120. What will be the measure of ABC if it is rotated about the origin (0,…

A:

Q: Consider the figure shown below. B' UB L A UA The fiber AB has an undeformed length of L = 1.6 m. In…

A: The formula Normal strain is,                                          ε =δL Where ε denotes Normal…

Q: 12. What will be the coordinates of point A after a 90 clockwise rotation about the origin?

A: Given coordinates of A A ( 2, -3 ) for 90 degree clockwise rotation  (x,y)→(y,-x)

Q: Determine the angular frequency of the sinusoid (a²b² a x =- cos ab

A: Given: x=abcos(a2b2tπ-abπ)

Q: In spherical coordinates, if u is a spherical wave, i.e. u=u(r,t), then the wave equation becomes du…

A: Given equation: 1r2∂∂rr2∂u∂r=1c2∂2u∂t2 ....i First Let V=ru ⇒u=Vr substitute this value of u in…

Q: (Picture of question is attached)

A: Calculate the values using the given polar equation and complete the table.

Q: Show that cos 120 cos 40 – 3 cos 40 sin? 40 and use this identity to find an equation in rectangular…

A: We have to show that cos12θ=cos34θ−3cos4θsin24θ Consider  cos12θ=cos34θ=cos3P        Let P=4θ We…

Q: 3. A carpenters wish to build a brick garage with an angle of 140 of roof meet (refers to Figure 1).…

A: Given  height of the pillar from ground is 4 m Let the height of left wall is h m In ∆BCE…

Q: Suppose that A and B are rotations of 180° about the points a and b,respectively. What is A followed…

A: Let Let A be the rotation of 180 degree about point a. Then a is midpoint of P and f(P). It follows…

Q: Through what approximate angle of rotation must a baseball pitcher turn when throwing to first base…

A: We have given a square where the home plate is bottom of the square and first base is at the right…

Q: Graph the equations in Exercises 17–24 in the θr-plane. Label each arc of your curve with the…

A: Since you have posted multiple questions, as per our policy we will answer first question. Please…

Q: a) Consider the wave equation π² Un with = UII, -∞<<∞, t≥0 u(z, 0) =sin 7 cOST, u(2,0)=0. Find the…

A:

Q: Consider the triangle AABC with sides a = 5 and b = 4, and ZA = 120°. Use the Law of Sines to…

A:

Q: . The rotor blades of a helicopter are 16 ft long and are rotating at 12 (a) Find the angular speed…

A: Given that: Length of rotor blades, R = 16 ftAngular frequency, ω=120 rpm

Q: If a wheel of radius 8 inches is rotating 12°/s then its angular speed, w, and linear speed, v , are

A:

Q: An angle theta in standard position has a terminal ray that passes through the point (4,7).…

A: Given:              Terminal ray passes through the point (4,7).

Q: I am facing east.How many degrees anticlockwise must I turn to face south-west?

A: Answer

Q: 4. A horse on a merry go round is 7 m from the center and travels at 1Okm/hr. What is its angular…

A: Let's find.

Q: In one of his adventure, Captain Jack Sparrow aboard in Black Pearl where he encountered rapidly…

A: Here we first find the vector of his sailing in west and then 35 degree north of west. Now for given…

Q: Show that every line that does not pass through the origin has a polar equation of the formr =…

A:

Q: The following figure shows a single-stage gear train. Gear trains are used in many products, such as…

A:

Q: 6. A particle moves so that its position vector is given by i =sin 5tî – cos 5tj , where t is the…

A: Consider the given position vector. r→=sin5ti⌢−cos5tj⌢ Now, calculate the velocity vector of the…

Q: How would I find an angle between 0 and 2pi that is coterminal with 11pi/4? I don’t know the best…

A:

Q: Plot the polar point. (25. 푸) 4 2 3 4 2 4 4. 2. klN 3. 3.

A: To plot the given point

Q: In the figure above, a solid cylinder of radius 10 cm and mass 12 kg starts from rest and rolls…

A:

Q: An airplane is heading north at an airspeed of 800 km/hr, but there is a wind blowing from the…

A:

Q: Two planes just recently left the airport. Looking at the radar, Plane 1 is 145 miles away from the…

A:

Q: A radar, using the polar coordinate system, detects that two airplanes are currently located at…

A:

Q: A bowling ball is rolled down the alley with a constant velocity of 1.4 m/sec. at an angle of 86° to…

A: Note: According to our expert guidelines only first individual question is to be answered kindly…

Q: The following figure shows a single-stage gear train. Gear trains are used in many products, such as…

A: Given that ,  n1 = 43 n2= 10 w1= 2. w2 = ? We have ,  w2 = (n1/n2)(w1)

Q: Express in true polar form, z = 5(cos 55° -j sin 55°)

A: We have to express in true polar form z=5cos55°-jsin55°.

Q: A motorboat traveled along a triangular course having sides of lengths 2 kilometers, 4 kilometers,…

A:

Q: From point O to point B, take the path OA first, then AB as in the figure below. Find the work done…

A: The general form of a vector-valued function in a plane is given by F→=F1i^+F2j^, where F1 and F3…

Q: A particle moves along the polar curve r =1– 2 cos 0 so that = 2. Find the value of d at e = , and…

A: We are given that,                     Now,              When          , Then

Q: In the methane molecule, CH4, each hydrogen atom is at a corner of a regular tetrahedron with the…

A:

Q: 2. An airplane travels 210 km on a straight Course, making an angle of 22.5° E of N. If then changes…

A: Given,  An airplane travels 210 k on a straight course, making an angle of 22.5 degree east of…

Q: Plot the points with polar coordinates (4, T) and -5, - *-) using the pencil. 2n 3 3n 4 4 6 4 6. 一6

A: Given query is to graph the polar coordinates.

Q: A ship leaves a port and sails 450 km due west. It then sails 600 km due north. What is the ship’s…

A: Given that, A ship leaves a port and sails 450 km due west. It then sails 600 km due north.   Let x…

Q: The rotation about the origin at an angle e=180° is defined by (ху)-(ху) (ху)-(ух) O (x.y)->(x,-y)…

A: The rotation about the origin at an angle 180° is defined by :-

Q: A particle moves so that its position vector at time t is given by r= et cos ti + e sin tj. Show…

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Find the polar equation for the Cartesian curve ² Or 1 T= cos 2 1 Or=sin @tan 0 2 T = Or= Or T = 1 1…

A: The given cartesian curve x2=y2 we have to find the polar equation

Q: 5 Convert the equation from polar to cartesian. r = sin 0 – 2 cos 0 -

A:

Q: From her elevated observation post 300 ft away, a naturalist spots a troop of baboons high up in a…

A: Given: From her elevated observation post 300 ft away, a naturalist spots a troop of baboons high up…

Q: 11. A baseball player running forward at 3 meters per second throws a ball with a velocity of 20…

A: According to our guidelines we are supposed to do only one question. Kindly repost other question as…