2. A cable is to be laid between towns A and B, which are situated on opposite sides of a river as shown in the diagram below: 8 km 2 km A The cable is going to be laid across the river to a point C and then along the shore to B. A possible choice of C is shown in the diagram (the cable would be laid along the path shown in red). Suppose it costs $300 per mile to lay the cable on land, $500 per mile to lay the cable across the river and the cable itself costs $400 per mile. Find the least expensive route.

Q: 4. The sides of a triangular lot are 130 m, 180 m, and 190 m. The lot is to be divided by a line…

A: Cosine law

Q: State the conclusion for the following picture

A: The two-sample t-test statistic is used to compare the means for two independent samples.

Q: A square has points A:(3,2),B:(-1,1),C:(0,-3), and D:(4,-2). If the point of intersection of the…

A:

Q: Solve the following problem. Points A, B, C, and D are placed in alphabetical order on a line so…

A: Points A,B,C,D are given such that 2AB=BC=CD

Q: Given any three lengths, it is possible to draw a triangle. Which of the following scenarios does…

A: For the triangle

Q: A pipeline needs to be built to link two points A and B on either side of a river. B is 12km…

A: Here, the cost of building pipelines on dry land is 1.5 and 1.8 through tunnels. Length of AC = x2 +…

Q: 2. a) Calculate the exact value of the length of the diagonal of the rectangle. 3 сm 5 cm 4 2 1 all…

A:

Q: On the grid below, point A is located at (1, 3), and point Bis located at (11, 8). 14 13 12 11 10…

A: Given: Coordinate of A is 1, 3 and B is 11, 8.   To find: Coordinate of a point on line joining…

Q: A product design team is working on a new drink box, witch will hold 225 cubic cenemeters of juice.…

A: Box can hold 225 cm3 of juice which represents the volume of box. Let the width of box be y cm…

Q: 7. In a swim/run race, competitors start at point A, and must swim across a river (to any point on…

A: Given: ''From the starting point A must swim across a riverthen run along the…

Q: Using Definition II and Figure 9, we would refer to a as the side _________ A, b asthe side…

A: Given,

Q: The points M, N, O and P all lie on the same line segment, in that order, such that the ratio of…

A:

Q: 28. Kristina plots a triangle with vertices (-2, 3), (0, 0), and (6, 4) on a coordinate plane. If…

A: The vertices of a given triangle are A(-2, 3), B(0, 0) and B(6, 4).

Q: The points M, N, O and P all lie on the same line segment, in that order, such that the ratio of…

A: Given,    MN:NO:OP is equal to 3:2:3.     So, we know that MP is the longest segment and the other…

Q: The following diagram shows the quadrilateral ABCD. diagram not to scale 3.80 75.2 C 6.73 433 AB =…

A:

Q: 4) Niko owns a dog-training facility and wants to create a ramp for the dogs to run up a platform.…

A:

Q: 7. A line is drawn from point P to point 0, where P is along the line AB and O is along the line AC…

A:

Q: The figure is not drawn to scale. 1\4 3 If m2 = x, m/3 =40, and m/4 = 5x+ 14, what is mZ1? 2.

A:

Q: If angle A and angle B are complementary, what is the sum of their measures?

A: There are two types of angles complementary and supplementary.

Q: factory is to be built on a lot measuring 120 ft by 160 ft. A local building code specifies that a…

A: Given: The dimensions of the lot is 120 ft by 160 ft. The area of the lawn and the area of the…

Q: 3. If AB=20, BC=6, and CD=8, find the value of x. Figure is not drawn to scale. X

A:

Q: Without lifting your pencil from start to finish, draw 4 line segments through all 8 dots. The…

A:

Q: HeWsketchthe following symmmetriesof theme curker andidentifytke reltcoso rasin(@h) -re4acos20.

A:

Q: The North part of the city has two perfectly circular and concentric ring roads (see figure below),…

A: Given: The length of outer ring road is equal to twicw the inner ring road. Perimeter of circle of…

Q: In the game board shown, the discØ can move diagonally toward the top of the board. If a solid…

A:

Q: Consider the map shown in Figure 1.2. Allison wishes to walk along the streets from point A to point…

A: Given: The figure of a map as follows: Allison wishes to walk along the streets from point A to…

Q: If the object starts from A and AB=10m east BC=5m north, CD=5m west DE=3m north and EF=2m west and f…

A: Given the object starts from A and AB=10 m east BC=5 m north,CD=5 m west DE=3 m north and EF=2 m…

Q: If the area of a triangle with vertices (5,2), (k, 4), and (0, -3) is 12 ½, solve for the possible…

A:

Q: fig. 1

A: Given: Region of solution is the shaded area between the two lines excluding the dotted line and…

Q: 7. Consider the following measures of the segments shown in the diagram. CD = 5 cm BA =8 cm BC = 4…

A: (7)GivenCD=5 cmBA=8 cmBC=4 cmwe know that the propertiesBC*AC=CD*CEso,    AC=4+8=12  CE=(5+x)

Q: 10 8. 10 W E 13 M G 10 15 12 10 19 (12 A G= Hilo, W = Worst Poke Place, L=Looks Good Poke, E = Eat…

A: Let us find the shortest routes and the respective time for delivery in the next steps.

Q: If B, I, and T are distinct points of a line and point I is between point B and T, if BI = 5 mm and…

A: Given- If B, I, and T are distinct points of a line and point I is between point B and T, if BI = 5…

Q: 7. In a swim/run race, competitors start at point A, and must swim across a river (to any point on…

A: Let us take the distance x as the distance she covered on the shoreline by swimming. Then the…

Q: 15. Solve the traveling salesman problem for the map below by calculating the mileage of each…

A: Given:- A set of cities and distance between them. Objective:- To find the shortest possible route…

Q: 2. Suppose B is between A and C. Us segment. **Draw a picture, it will he AB = 6x -2D BC = 2(x + 3)…

A: Given query is to find the value of x.

Q: 23. Consider the grid of points shown at the top of the next column. Suppose that, starting at the…

A:

Q: Consider the following problem:  You stood on the middle rung of a ladder. You then climbed up 4…

A:

Q: Arranged below are a main point, two subpoints, and two sub-subpoints from a speech preparation…

A: Given problem Given that   Arranged below are a main point, two subpoints and two sub-sub points…

Q: 2. Given the information in the diagram, are the triangles similar? 2. 1. Yes, the triangle on the…

A:

Q: Suppose that points A, R, and V are collinear. If AR = 7 and RV = 5, then which point cannot…

A: Given: A, R, V are collinear. AR=7 and RV=5. The objective is to find which of the three points will…

Q: A golf ball is hit into the air and follows a path described below, where d is the horizontal…

A:

Q: If ON = 9x-9, LM = 8x + 4, NM = x- 9, and OL = Sy- 8, find the values of x and y for which LMNO must…

A:

Q: If the geometric mean of two observations is (1/n) times their harmonie men, prove hảt the ratio of…

A:

Q: 2. 2. Given the information in the diagram, are the triangles similar? 1. Yes, the triangle on the…

A: Given query is to find the correct option for the triangle given.

Q: YA 16 12 A(2, 14) B(12, 14). 4 C(5, 0) 4 8 16 x 12

A: Given, The coordinates of points  A2, 14 B12, 14  C5, 0   We have to find the circumcenter of points…

Q: given OM ⊥ AB, ON ⊥ CD and m <OMN = 150, then it can be stated that: m <OMN =? answ in grades OM -…

A:

Q: 1. For the given diagram, explain which condition guarantees similarity between AABC and ADEC. A D…

A:

Q: O feet feet 2 Blue arrow represents 3 inches to the next "pleat" 4 arrows x 3 inches= 12 inches of…

A: Solution :  1. 1 foot = 12 inches. Total number of arrows of 3 inches=12/3=4   Total cloth used in…

Q: On the following grid, AB is shown with along with point C. Draw two lines on this grid that pass…

A: