Show that the sum of the lengths of the two shortest sides is greater than the length of the third side.

Q: A rancher wants to fence in an area of 2000000 square feet in a rectangular field and then divide it…

A:

Q: The length of one leg of a right triangle is 1 m shorter than the other. If the hypotenuse is 5m…

A: Given, the length of one leg of a right triangle is 1 m shorter than the other and  the hypotenuse…

Q: Find three positive numbers whose sum is 36 and such that the sum of their squares is as small as…

A: Solution is given below:

Q: A wooden beam needs to be carried horizontally around the corner of a hallway (diagram provided on…

A:

Q: Suppose you know only that the length of one side of a rectangle is 100. What can you say about the…

A: In a rectangle, a diagonal divides it into two right triangles. In a right triangle, the largest…

Q: A rectangular playing field with a perimeter of 100 meters is to have an area of at least 500 square…

A: The area of rectangle having length L and breadth B is given by Area=L×B and perimeter is calculated…

Q: A rancher wants to fence in an area of 500,000 square feet in a rectangular field and then divide it…

A: Consider a rectangular field of length l and width b as shown in the figure and than use the…

Q: A rancher wants to fence in an area of 2,000,000 square feet in a rectangular field and ther with a…

A: We are given area of rectangular field = 2,000,000 sq.feet Let length be l and Width be w. We have…

Q: Suppose you want to build a rectangular sandbox where the width is 33 feet less than the length and…

A:

Q: Suppose a long rectangular sheet of metal, 12 inches wide and 10 feet long, is to be made into a…

A:

Q: A man wants to cut three lengths from a single piece of board of length 91cm.The second length is to…

A: Let the length of the shortest piece be x cm. Then length of second piece and third piece are (x+3)…

Q: A 4-pen kennel of 3,240 square feet is to be constructed as shown. The cost is $20 per foot for the…

A: find the dimension of the given figure

Q: A city planner in Phoenix, Arizona wants make sure that the distance between a proposed skyscraper…

A: Part (a) The extended diagram of the diagram given in the question is shown below. Consider ∆ADC,…

Q: A rancher wants to fence in an area of 2500000 square feet in a rectangular field and then divide it…

A: Let length of the sides are x and y. And the middle fence is parallel to x side.So total fence…

Q: A rancher wants to fence in an area of 2500000 square feet in a rectangular field and then divideit…

A: Consider the length of the sides as x and y and the middle fence is parallel to x side.So, total…

Q: suppose the sum of two positive numbers a and b is 13. What is the largest valu that ab^2 can be?

A:

Q: If the two equal sides of an isosceles triangle have length , find the length of the third side that…

A:

Q: A rectangular corn field with an area of ​​726m2 will be fenced.Later with another fence parallel to…

A: Given, Area of rectangular corn field = 726 m2    We have to find the dimension of rectangular field…

Q: 2) The length of a rectangle exceeds the width by 10 cm. If each dimension were increased by 3 cm,…

A: Given that length of rectangle exceed width by 10 cm. Area of rectangle after 3 cm increase in each…

Q: A rancher wants to fence in an area of 1000000 square feet in a rectangular field and then divide it…

A:

Q: 2. Show that the sum of the squares of the distances of the vertex of the right angle of a right…

A: In this sum we are going to use the Pythagorean theorem and the concept of similar triangle.…

Q: The sum of the lengths of any two sides of a triangle is greater than the length of the third side.…

A:

Q: Find the length of the shortest straight beam that will reach to the side of the building from the…

A:

Q: A 12-meter string is cut into two pieces so that x meters will be used to form a circle and the…

A: Here we can note the following  (a) Area of an equilateral triangle with side a = 34a2 Area of a…

Q: A rancher wants to fence in an area of 1,500,000 square feet in a rectangular field and then divide…

A: Let one side of area = x, other side = yLet extra fencing be parallel to sides of length y.So we…

Q: 1. How far is the shortest distance between taekwondo club and boxing club? 2. How far is the…

A: x=distance between Basketball club to Taekwondo club y=distance between Basketball club to Boxing…

Q: A rancher wants to fence in an area of 1,000,000 square feet in a rectangular field and then divide…

A: Let, x and y be the dimension of the rectangle. So, xy=1000000⇒y=1000000x...(1) Now, the fence…

Q: An airline policy states that all baggage must be box-shaped with a sum of the length, width, and…

A: Given data is: The sum of the length, width, and height not exceeding 120 inches. To find the…

Q: Show that the sum of a positive number and its reciprocal is at least 2.

A:

Q: The sum of the interior angles is six times the sum of its exterior angles. How many diagonals does…

A: A detailed solution is given below

Q: Consider two consecutive conveyors carrying boxes each with a length of 1 foot. The speed of the…

A:

Q: A 4-pen kennel of 2,560 square feet is to be constructed as shown. The cost is $20 per foot for the…

A: Part-1

Q: A train covered a certain distance at a uniform speed. If the train would have been 6km/hr faster,…

A: Let the speed of train be x km/hr.AndLet the time taken be y hr.

Q: A rancher wants to fence in an area of 500000 square feet in a rectangular field and then divide it…

A:

Q: A rancher wants to fence in an area of 3000000 square feet in a rectangular field and then divide it…

A:

Q: Find the length of BE 3x +47- 10 C x+27 x+26-

A:

Q: Find two supplementary angles such that the measure of the first angle is 30° less than five times…

A: Two angles are known as supplementary if the addition of their measures is 180 degrees.

Q: what is the maximum possible volume of rectangle box with the sum of it is 12 edges 24cm

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Q: A train covered a certain distance at a uniform speed. If the train would have been 10 km/h faster,…

A: Let the speed of the train be x km per hour and time taken be y hours.Then

Q: A rancher wants to fence in an area of 2,000,000 square feet in a rectangular field and then divide…

A: see below the answer and calculation

Q: A buyer is to take a plot of land fronting street, the plot is to be rectangular and three times its…

A: I have stated the used formula in the solution.

Q: A rancher wants to fence in an area of 500000 square feet in a rectangular field and then divide it…

A: Here Area A=500000 square feet where, Area=LLenght×wwidth

Q: A rancher wants to fence in an area of 1000000 square feet in a rectangular field and then divide it…

A: A rancher wants to fence in an area of 1000000 square feet in a rectangular field and then divide it…

Q: Suppose you use exactly 222 feet of wire fencing to enclose a rectangular grazing area for your…

A:

Q: The sum of the lengths of any two sides of a triangle is greater than the length of the third side.…

A: Given Statement:- Sum of lengths of any two sides of a triangle is greater than the length of the…

Q: A gardener with 600 meters of available fencing wishes to enclose a rectangular field and then…

A: Given problem:- A gardener with 600 meters of available fencing wishes to enclose a rectangular…

Q: Imagine you are in a city that has a grid of streets with perfectly square blocks and that the only…

A:

Q: A 4-pen kennel of 1,960 square feet is to be constructed as shown. The cost is $20 per foot for the…

A: The area of the rectangular land is 1800 sq feet. let the side parallel to divider be y and the side…

Q: A rancher wants to fence in an area of 3,000,000 square feet in a rectangular field and then divide…

A:

Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.