In a public park, a triangular region of grass is bound by walkways. Sprinkler heads are placed at the vertices of the triangle as shown in the figure. Each sprinkler head can be set to limit its angle of rotation. For each sprinkler head, how large should the angle of rotation be set as to keep walkways dry and to conserve water?

Q: The figure below has a point marked with a large dot. First, reflect the figure across the y-axis.…

A:

Q: The three-dimensional shape at right is called a cylinder. Its bottom and top bases are both…

A: We need to determine the shape of flag so as to generate a cylinder.

Q: If the triangle below is rotated 90° counterclockwise, which of the following coordinates is…

A:

Q: Suppose a baseball is thrown at 30 ft/s at a 60degree angle to the  horizontal from a height of 4 ft…

A:

Q: Graph the image of rhombus QRST after a reflection across the x-axis. 10 8 9. R co 4,

A: NOTE: Refresh your page if you can't see any equations. . write the coordinates of the vertices of…

Q: Part C what is the approximate horizontal distance between Amelia and brendon? Explain your…

A: Given problem:- In this activity, you will apply your understanding of right triangles Amelia and…

Q: Problem 3 Find the cosine of the angle between the planes 2x +3y-z = 2 and r-y+z = 1

A: The given planes are 2x+3y-z=2 and x-y+z=1 rewrite the equation as 2x+3y-z-2=0 and x-y+z-1=0 If two…

Q: Direction is provided for the sphere problem

A:

Q: 2' 5 1/2' 3' 3' WINDOW 7 1/2' DOOR

A:

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: Show that the point is on the unit circle. We need to show that the point satisfies the equation of…

A:

Q: Problem 6: The vertices of an equilateral triangle are A( - 1, 4 ), B( x, - 2 ) and C( 3 2,1). Find…

A:

Q: Use the following equation to answer the questions below. 1 1) major axis: (Note: Type x or y.) 2)…

A: See attached file for a step by step explanation.

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: 1. As you may already know, the general equation of a circle is: (x h)² + (y- k)² = r2, where (h, k)…

A: 1. The general equation of a circle : x-h2+y-k2=r2    (h,k) is the centre of the circle and r is the…

Q: Problem 2 (a) -급 fe| 28 7 + z+2i (z+2i)3 8 Evaluate dz, where C is the circle |z+ 2i| = 8+7, 0 <0…

A:

Q: Which of the following correctly depicts the sphere given by the equation: x2 + (y - 2)2 + (z - 2)2…

A: Given: x2 + (y - 2)2 + (z - 2)2 = 4

Q: Question 7: 2 6 4 Find the optimuml center location a) Locate on nodes only 7 1 3 b) Locate anywhere…

A:

Q: The center of circle A with equation (x - 5)2 + y2 = 25 is mapped to the center of circle B with…

A: Given:circle A : (x-5)2+y2=25circle B : (x+2)2+(y-5)2=25

Q: the point c (-3 -1) is rotated 180 degrees clockwise around the orgin. What are the coordinates of…

A:

Q: Problem 16: Find y if A( 9, y ), B( 4, 3 ) and C( - 3, - 7 ) are vertices of a right triangle with…

A:

Q: 1. The lower edge of a picture is 4 ft., the upper edge is 9 ft above the eye of an observer. At…

A: The solution of given question is shown below.

Q: State the following for the given equation in space below: a) Vertex b) a value c) direction of…

A: As per Bartleby's answering policy, we can answer only one question and a maximum of three subparts…

Q: Find points P and Q on the parabola y = 1−x^2 so that △ABC formed by the x−axis and the tangent…

A: Given, curve

Q: QUESTION 11 What is the axis of symmetry for h(x) = 3x2 – 5x +6? 5 6 OB. 3 2 OCx = - 5 OD. 5 X= - 12

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: QUESTION 4. Find the points on the sphere x' +y +z=1. that are closest to and farthest from the…

A:

Q: Mr. Iwan wanted his students to graph the following circles on the same coordinate plane. Circle 1:…

A:

Q: How is the pythagorean theorem related to distance formula?

A: Consider the provided information, We know that the Pythagorean theorem is defined as, c2=a2+b2 So,…

Q: Question 1 What is the distance between the point (-2, 5, 3) and the z-axis?

A: The objective is to find the distance between the point (-2,5,3) and the z -axis.

Q: Calculate the length of the astroid x2/3 + y2/3 = 1 (Figure 14). FIGURE 14 Graph of x2/3 + y2/3 = 1.

A:

Q: When a hexagonal figure with equal sides is rotated, then the angle of rotation is _________.

A: Known fact: Angle of rotation is the smallest angle in which the figure is turned to make it look…

Q: A big room is constructed so that the ceiling is a dome that is semi-elliptical in shape. If a…

A: Step 1 a= 40/2 =20m Length of room from centre to end

Q: Question 7 True or False: Reference angles can never be obtuse. ΑΑ True False

A:

Q: The cross section of a rain gutter is shown below. It is made of a steel sheet that is bent at two…

A:

Q: Solve the problem. 1) A Campus flagpole stands 65.2 feet high. Ifit casts a shadow S7.5 teet in…

A: Since, it is given that a camous flagpole stands 65.2 feet high castsa shadow of 87.5 feet in…

Q: I have done part A, and attached it as an image, I need parts B and C please: B) Repeat part (a)…

A: We have to estimate the area by using left endpoints and mid points.

Q: Please explain in the answer how to get answers without a calculator too, thanks. The point P is on…

A:

Q: Chapter 1.5: Problem 5 Previous Problem Problem List Next Problem (1 point) Find the midpoint…

A: The formula is on the board.

Q: What would the coordinates of B' be if the triangle graphed below was reflected across the line y…

A: The reflection of the point (x,y) across the line y=x is (y,x)

Q: 2, The diagram shows the sector of acircle with centre o 5m 50° The radius oA the circle is 5M and…

A: Given radius of circle  r=5m angle of the sector =50° We have to find Area of the sector. Formula:

Q: Part 1 of A trench must be dug from point B, straight to point A (which is at the southern point of…

A: Let's find coordinates of A.

Q: Problem 7 Find the distance from the point to the plane. (1) (6,0, –6), x – y = 4 (2) (3,0, 10), 2r…

A: Find the distance from the point to the plane. (1).   (6,0,-6) , x-y=4 We know that,   The distance…

Q: Problem 6. rotating D about the line x= -4? important for solving this problem?

A: We will use second theorem of Pappus According to it volume  of a solid generated by the revolving…

Q: I have a ridiculous number of trees and shrubs that need pruning in my yard. I have a 15 foot ladder…

A: Given: The ladder is 15 foot and angle between ladder and the ground is 70°. To find the height up…

Q: Answer the following questions using your own words. 1. What is a circle? 2. How do we write the…

A: Topic  = Geometry As per guidelines , at a time only three sub-parts of a question can be answered.…

Q: 8. Mr. Patel drew figure A and its image, figure K, on the grid. Amelia says figure K is a rotation…

A: Note- Acc. to Bartleby guidelines, we are supposed to do only one question. If u want more to be…

Q: The architect continues to rotate the umbrella in a counterclockwise direction until it is in its…

A:

Limits

When it comes to calculus, limits are considered to be a very important topic of discussion. The main importance of limit lies in expressing the value of a function as it gets closer to a certain value. Also, limits can help you to understand other topics, such as continuity and differentiability better. In a broader sense, every calculus notion is a limit. Other branches of calculus have also been derived from limits.