Let be a fixed positive integer. Then points can be equally spaced along the boundary of the unit disk in the complex plane, and their positions described in the complex plane are given by , where . So, for any , we can write The distance between two points and is …

Read More »## Circle A has an area of 452.16 ft2 with a radius of 12 ft. If circle B has a radius of 17 ft, what is its area? A. 907.46 ft2 B. 706.49 ft2 C. 709.64 ft2 D. 904.76 ft2

Answer: length of golden rectangle = 1.618 Step-by-step explanation: It is given that the length (L) of golden rectangle is x And width (W) of rectangle is x-1 so we have L = x W= x-1 Now we have area of rectangle given by Area = L × W Area …

Read More »## A shoe store owner is designing the layout of the displays in his store. The floor area for the store is 1,600 square feet. The owner wants to have circular displays for the shoes, each with a radius of 6 feet, and a 48-square-foot rectangular cashier’s station in the corner. Customers should be able to easily walk around the shoe displays, so there must be at least a 4-foot walkway around each. The owner started drawing the layout shown. The distance between grid lines is 4 feet. Which statement about the possible designs is true, given the owner’s requirements? Three circular displays can be placed in one row, exactly as shown on the given grid. Two circular displays can be placed so they are each the same distance from the cashier’s station. The maximum number of circular displays that can be used is 4. The maximum number of circular displays that can be used is 5.

Answer: $2.43 per gallon of gas. Step-by-step explanation: We have been given that the amount of money it takes to fill up a gas tank varies directly with the number of gallons bought. We know that the equation for two directly proportional quantities is in form: , where, k = …

Read More »## What is the area of this shape?

Answer: The correct option is B) Step-by-step explanation: The area of the pond is 11 square meters. Also,the given area is where Put the value of area and π in provided formula, Multiply both the sides by 7, Divide both the sides by 22, simplify the above Take square root …

Read More »## What is the area of this shape?

Answer: The correct option is B) Step-by-step explanation: The area of the pond is 11 square meters. Also,the given area is where Put the value of area and π in provided formula, Multiply both the sides by 7, Divide both the sides by 22, simplify the above Take square root …

Read More »## What is the area and perimeter

Let’s separate the hexagon into 5 shapes; 2 triangles on each side, and a rectangle in the middle. Now let’s find the area of each of the smaller shapes. Top left triangle:The equation to find the area of a triangle is(base = b, height = h, a = area)a = …

Read More »## PLEASE HELP ::What is the surface area of a cylinder that is 12 feet high and has a radius of 2 feet (round to the nearest whole number)? A) 81.6 ft.2. B) 163 ft.2. C) 176 ft.2. D) 250 ft.2.

Answer: The correct options are: Fredrick’s data set contains an outlier. The mean value is about 12.6 home runs. T he median describes Fredrick’s data more accurately than the mean. Step-by-step explanation: It is given that the runs hit by Fredrick in 10 seasons of play are: 14, 18, 13, …

Read More »## PLZ ANSWER DXA pattern on a quilt is made up of pieces of fabric in the shape of parallelograms. One piece of fabric is shown. What is the area of one piece of fabric? __ cm2

Answer: Step-by-step explanation: Let j represents water in one glass jag while p’ represents the water in one plastic container, According to the question, j-p’ = 6p+8 ——–(1) And, 2j+2p’=56p ——–(2) 2 × equation (1) 2 j – 2 p’ = 12p + 16 ———(3) Equation (2) + equation (3) …

Read More »## In which direction do winds blow? A. from warm front to cold front B. from cold front to warm front C. from high pressure area to low pressure area D. from low pressure area to high pressure area

The correct answer is option A, The carrots reflect only orange light. Our eyes perceive only those color of light which gets reflected after striking any object. Like in case of carrot, since carrot is of orange color , it is efficient in absorbing wavelength of light other than orange …

Read More »## Badwater Basin in Death Valley is covered with white salt crystals. What is likely to be true of this area? A.The white salt crystals have a high albedo. B.The white salt crystals are immune to insolation. C.The white salt crystals have no heat capacity. D.The white salt crystals absorb most radiation.

Answer: Each parent had at least one allele for white petals. Explanation: According to the law of inheritance, it is necessary that each offspring must inherit one allele from each of its parents for a given gene. Since in the given question, a rose plant inherits a white flower petal …

Read More »## Which name refers to a wide area of dry land that borders the southern edge of the Sahara Desert? A. Congo Basin B. Great Rift Valley C. Sahel D. Kalahari

The Emancipation Proclamation did not immediately free slaves, as the rebel states would obviously not follow the orders given by Lincoln. Here are the true statements: -It most definitely changed the significance of the war, for after a long war, people were starting to question what they were even fighting …

Read More »## A rectangle has an area of 24 square unit. The width is 5 units less than the length. What is the length, in units, of the rectangle

Answer: The permimeter is 93 units. The area is 500 square units Step-by-step explanation: Perimeter (image 1, the one with yellow lines) If we want to find out the perimeter of this hexagon we must sum every side of the shape. The image shows some measurements, but there are some …

Read More »## The area of egypt is 386,700 square miles. the area of wyoming is about 97,818 square milesegypt is about how many times as large as wyoming?explain how you solved the problem

The area of egypt is 386,700 square miles. the area of wyoming is about 97,818 square milesegypt is about how many times as large as wyoming?explain how you solved the problem

Read More »## How does an area of the boreal forest become a "carbon source" rather than a "carbon sink"?

How does an area of the boreal forest become a “carbon source” rather than a “carbon sink”?

Read More »## What is the base of a parallelogram with height 5.6 meters and an area of 39.2 square meters

What is the base of a parallelogram with height 5.6 meters and an area of 39.2 square meters

Read More »## YOU HELP YOU GET A MEDAL!!! You are making a square quilt with the design shown below. Find the side length x of the inner square that would make its area equal to 30% of the total area of the quilt. Round to the nearest tenth of a foot. 3 ft 3.3 ft 4.2 ft 12 ft

The Correct and accurate answer of this question is 204 oranges. Option D is correct. Further Explanations: Pyramid: In this Question there is a four sider pyramid which has 8 layers of oranges the pyramid is made up of Oranges layers. 1St Layer: Calculation: 1st layer contains only 1 orange …

Read More »## What is the area of a triangle with vertices at (−4, 1) , (−7, 5) , and (0, 1) ? Thank you so much!

What is the area of a triangle with vertices at (−4, 1) , (−7, 5) , and (0, 1) ? Thank you so much!

Read More »## If the area of a square living room is 169 square feet . What is the perimeter of the room

In order to solve this problem, we first need to find the side lengths of the square. We know that the area of a square is one length squared, so we can set up this equation: 200 = We solve this by taking the square root of both sides. So, …

Read More »## I need to find the area of the larger triangle

Answer: Surface Area of the room = 448 units² Step-by-step explanation: The dimensions of the room are given to be : 8″ x 10″ x 8″ Since, The room is cuboid in the shape Therefore, Length of the room, l = 8 units Width of the room, w = …

Read More »## What is the area of a blanket that is 2.25 m long and 1.8 m wide

Answer: We can construct the given segment by using the following steps: Step 1: Adjust the compass width equal to the length of the segment AB. Step 2: Draw another line that is greater than the twice of the segment AB in length. Step 3 : Without changing the compass …

Read More »## A rectangle has a width that is 7 centimeters less than its length, and it's area is 330 square centimeters. what are the dimensions?length = _____ centimeterswidth = _____ centimeters

A rectangle has a width that is 7 centimeters less than its length, and it’s area is 330 square centimeters. what are the dimensions?length = _____ centimeterswidth = _____ centimeters

Read More »## The rectangular prism shown has a length of 5 cm, a height of 3 cm, and a width of 4 cm. What is the surface area of this prism?

Answer: The area is: “(x² + x + 3) (x² + 2x + 4)“ square units ; or, write as:_____________________________________________________ ” x⁴ + 3x³ + 9x² + 10x + 12” square units._____________________________________________________Explanation:_____________________________________Area of a triangle = ½ * (base length) * (height) ; or: A = ½ * b * h ; Plug in values …

Read More »## What is the surface area of a conical grain storage tank that has a height of 43 meters and a diameter of 14 round to the nearest square meters

What is the surface area of a conical grain storage tank that has a height of 43 meters and a diameter of 14 round to the nearest square meters

Read More »## The length of lisa’s rectangular dining room is 12 feet. if the area of the room is at least 96 square feet, what is the smallest width the room could have?

Answer:Length of the line segment =23 Step-by-step explanation: Given points: (11,-4) and (-12,-4) Distance between two points is given by the distance formula i.e. D=√ x1=11, y1=-4 x2=-12, y2=-4 Length of the given segment=√((-12-11)²+(-4-(-4))²) D=-√((-23)²+0²) D=√529 D=±23 D=23 [Since D can’t be negative]

Read More »## Which represents a side length of a square that has an area of 450 square inches?

A) The answer isx + y + z = 243x + 2y + z = 53x = y + z x – the number of swimmers in the first placey – the number of swimmers in the second placez – the number of swimmers in the third place 1. The …

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