An airplane has a speed of 300km/h and is headed [NE]. A wind is blowing from [N30°W] with a speed of 80km/h. Determine the speed of the plane relative to the ground. Draw a diagram.

Q: L. 4y – 2 - 2 M 2х + 10 |15 +х K 8—у N 'N,

A: Property of Parallelogram: Opposite sides are equal.

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: Determine the are of a triangle formed by the given 7x+8y=69 and the coordinate axes x and y.

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Q: Given three points P, Q, and R, a) Write down the plane equation. b) Write down the normal of the…

A: this is the required figure  P, Q and R  are the points on the plane n is normal to the plane and…

Q: A parabolic antenna follows the equation y^2 + 4x = 0. Which of the following is the coordinates of…

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Q: d. Find the equations of the two parallel planes that are distance 5 away from plane P.

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Q: What is the length of the transverse axis?

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Q: Which of the following shapes is concave?

A: Here we have to find the concave shape.

Q: ). The “lead-in groove” is 6 inches from the center of an LP, while the “exit groove” is 1 inch from…

A: Solution

Q: Reflect the given triangle over the line y = -X. 0. -1 0. -3 -4

A: Given triangle  by the reflection over y=-x (x,y)→(-y,-x)

Q: °. Find the horizontal distance the plane is from the control tower.

A: Here we use basic trigonometric ratios to find out the horizontal distance from tower to the plane.

Q: Use the applet to translate quadrilateral ABCD 2 units left to create quadrilateral A'B'C'D', then…

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Q: In the diagram below of triangle GHJ, K is a midpoint of GH and L is a midpoint of HJ. If KL = 43 –…

A: Given : K is a midpoint of GH and Lis a midpoint of HJ.

Q: Did your image reflect over the x or y axis?

A: the given figure, we have to tell image reflect over the x -a xis or y-axis.

Q: 3. Find the coordinates for circular point w Q. b. C. d.

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Q: Sketch the given surface

A: Given: x42+y82+z122=1 The given equation is an ellipsoid.

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: Find the point with coordinates of the form (2a, a) that is in the third quadrant and is a distance…

A: We know that, a point in third quadrant must have negative abscissa( x-coordinate) and negative…

Q: On the coordinate plane, what is the coordinate pair that represents point A?

A: By graph we can see that  Coordinates that represents point A is (-2.5, 2.5)

Q: find the equation of a sphere with the line segment AB as one of its diameters, where A(-3, 2, 1)…

A: We have to find the equation of a sphere with the line segment AB as one of its diameters, where…

Q: The wheelchair ramp at the entrance of the Mission Bay Library has a slope of . What angle does the…

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Q: If i = v-1, which point shows the location of 5- 2i on the plane?

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Q: Calculate the distance between the given points and determine if they are collinear. A = (6, 2, 1),…

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Q: A plane with a heading of 40° is traveling with an airspeed of 210 miles per hour. The wind currents…

A: to find:- ground speed and true speed of plane.

Q: The center of D, is (Ro, R270}

A: THIS IS FALSE.

Q: Marcus needs to choose the figure with is NOT parallelogram. Which figure should he choose?

A: We have to choose the figure with is not a parallelogram.

Q: A plane with an airspeed of 450 miles per hour is flying in the direction N35°W.

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Q: Find the Midpoint of the listed segment using the coordinate plane.

A: The coordinate of E=(-1, 3) and H=(-2 , 0) Here, X1= -1, Y1= 3, X2=-2 , Y2=0

Q: Are the points H and L collinear? U S E H.

A: Collinear means the points which lie on the same line.  From the image, we see that H and L lie on a…

Q: Find the equation of the circie endpoints of a dlameter are P (-1,1) and a(5,9)

A: WE ARE GIVEN THE TWO ENDPOINTS OF THE DIAMETER P AND Q. P=(-1,1) Q=(5,9) WE WOULD HAVE TO FIND THE…

Q: Find y dA, where D is the triangle with vertices (0,0), (1,2), and (3,0).

A:

Q: determine the points that are symmetric with respect to (a) the x axis, (b) the y axis, and (c) the…

A: (a) Consider the point (-3, 1). Recall that to find the point that is symmetric about the x-axis, we…

Q: Determine the values of x and y for the parallelogram.

A: For a parallelogram, opposite angles are equal.

Q: Find the angle between two lines whose direction cosines are given by l + m + n = 0 and 1² + m² - n²…

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Q: Consider point W on the coordinate plane y 51 w/ 1.

A: Here if we are going through x-axis. Then it will give points 3 and -4. Because x-axis value will…

Q: Find the length of the transverse axis if the length of the semi-transverse axis is 55.

A: This question can be solved if we know the relation between transverse axis and semi transverse…

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: Find the d.c's of a line that make equal angles with the axes

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Q: find the xy equation of all three sides of triangle ABC with verticies  A= (1,5)  B= (3, -1)  C=…

A: The given triangle is  now we have to find the equation of lines AB,AC,and BC

Q: The midpoint of AB is M(5, -2)M(5,−2). If the coordinates of AA are (6, -5)(6,−5), what are the…

A: Mid point of a line joining two points(x1, y1) and  (x2, y2) is given byMid point = x1+ x22,y1+ y22

Q: Give the coordinates of point A. A. OA. (5,2) OB. (2,5) C. (-2,-5) D. (-5,-2) X A

A: To find the coordinates of the given point A in the graph.

Q: Reflect the figure across the y-axis. Which is most likely the new figure?

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Q: Find the angle between the lines whose direction cosines satisfy the equations 1+m+n= , 12+m2+n2=0

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Q: Find Sax ds, where C is the line segment in the plane joining (0,0) and (3, 4).

A: I am attaching image so that you understand each and every step.

Q: Calculate the distance between the given points and determine if they are collinear : A = (6,2,1),…

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Q: The figure is a parallelogram with additional markings. R W Z. S

A: Given,            The parallelogram RSTW is shown below :              RZ=5x+6 and SW=11x-9…

Q: Graph the first-octant portion of each plane.x + y = 4

A: Consider the given plane. x+ y=4⇒y=4-x Assume some test points and make a table of values as…

Q: Name a fourth point that is in the same plane as the given points. 11. A, B, C 14. A. D, E 12. E. F.…

A: The point D is on the same plane as A, B, C. The point H is on the same plane as A, D, E. The point…

Q: A hiker climbs for a half mile up a slope whose inclination is 17°. How many feet of altitude, to…

A: To find: The length of altitude that hiker gain. Formula used: Trigonometric ratio: sin α=ph Here, p…