The lengths of the sides of three cubes are in the ratio 2:3:4 and the sum of their volume is 36 cubic cm. Find the lenght of each side of a cube. Express your answer in radicals.

Q: If the height h at the center of the tent is to be 6 feet and the length l of the tent is to be 7…

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Q: If a right triangle has two legs which have measurments of 9 inches and 15 inches, the length of the…

A: I am going to solve the given problem by using some simple algebra to get the required result of the…

Q: A rectangular yard has a width-to-length ratio of 5 : 8. If the distance around the yard is 2600 ft,…

A: NOTE: Refresh your page if you can't see any equations. . w=width and l=length the width-to-length…

Q: The side of the smallest square is 16cm and the side of the largest square is 36cm. How long is the…

A: The given figure is as follows -  Given side of the smallest square is 16 cm and the side of the…

Q: The area of a parallelogram is 36 m2. If the height of the parallelogram is 9 m, what is the length…

A: Area of the parallelogram is , Area = 36 m2 The height of the parallelogram is, h = 9 m To evaluate…

Q: he volume of a cylinder in terms of pi with a radius of 3 mm and height of 10 mm is 90π mm3. True…

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Q: A dining room is 18 ft long and 14 ft wide. On a blueprint for the house, the dining room is 3.5 in.…

A: Given, original length of dining room=18ft   and original width of dining room=14ft   we…

Q: . An aircraft is vertically above a point which is 10 km West and 15 km North of a control tower. If…

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Q: If the circumference of each tire on a vehicle is approximately 88 in, how many miles will

A: The circumference of each tire is 88 in  So, 12000 revolutions amounts to, 12000×88 in = 1056000 in…

Q: What is the length of the diagonal of a rectangle given the dimensions are 8 ft by 5 ft? Round to…

A: Given: Dimension of rectangle = 8 ft x 5 ft

Q: the length of this rectangle to the nearest tenth of a centimeter

A: Note that 1 cm = 10 mm and 1 mm can be written as 0.1 cm.

Q: If you place a 21-foot ladder against the top of a building and the bottom of the ladder is 12 feet…

A: NOTE: Refresh your page if you can't see any equations. . here we have AC=21 feet BC=12 feet AB=x…

Q: A rectangular box needs to be painted. How many square inches need to be painted to cover the entire…

A: To paint the entire box, one need to find the surface area. SA=2(lw+wh+lh)

Q: The area of a rectangle is 12 in.? What is the new area of the rectangle if the height were six…

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Q: Given the volume of a cylinder is 1,215Tt cubic inches and the radius is 9 in, find the length of…

A:

Q: A 24-foot ladder resting against a house reaches a windowsill 16 feet above the ground. How far is…

A: Length of ladder=24 foot

Q: A slide is 10 feet long and 6 feet high. How long is its base, from the bottom of the ladder to the…

A: The length of AC=6 ft. The length of BC=10 ft. The objective is to find the length from the bottom…

Q: If the length of the radius and the height of a right circular cylinder are both tripled to form a…

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Q: The volume of a cylinder is 27 in^3. If the radius is doubled but the height remains the same, what…

A:

Q: If the length of the radius and the height of a right circular cylinder are both quadrupled to form…

A: Let smaller cylinder dimensionsRadius=rHeight=h∴ volume=πr2hLarger cylinder…

Q: . Two similar figures have a ratio of 3/4. If the area of the larger figure is 100 square units,…

A: By using given data, we find the area of small figure.

Q: area

A:

Q: If the length of the radius and the height of a right circular cylinder are both doubled to form a…

A: Let the initial radius and height of the cylinder be R and H respectively.

Q: A room is 16 feet, 8 inches long, and the ratio of the length to the width is 4 to 5. What is the…

A: A room is 16 feet, 8 inches long, and the ratio of the length to the width is 4 to 5. Whatis the…

Q: if the radius of a circle is increased by 3, the circumference is increased by how much?

A: Here we have to find the increment of the circumference of a circle when its radius is increased by…

Q: A company makes square-pyramid-shaped tents with a height of 6 feet and a base with a side length of…

A:

Q: Suppose that the volume of an aluminum can is to be 97 in. Find the dimensions of the can if the…

A: given: the volume of an aluminium can is 9π in3. we have to find the dimensions of the can if the…

Q: If a right triangle has two legs which have measuments of 12 inches and 14 inches, the length of the…

A:

Q: f two pyramids are similar to with slant heights in the ratio of 3:8, what is the ratio of their…

A: For similar objects, the ratio of their surface area is equal to the ratio of squares of their…

Q: The perimeter of a triangle banner is 250 inches. If two sides of the banner are each 92.72 in.…

A:

Q: Two cubes have sides of lengths 7 cm and 6 cm. What is the ratio of their respective volumes?

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Q: If you had a gallon of water and you poured it into a cube shaped box that would fill the box…

A: Volume of cube To find side of cube in inches.

Q: The size of a computer screen is measured along the diagonal. What's the approximate size, to the…

A: Size of the computer screen is measured to be 14 inches ×11.5 inches and we need to find out the…

Q: The volume of a square pyramid is 60 cubic inches and the height is 15 inches. Find the side length…

A: The volume of a square pyramid is 60 cubic inches and height is 15 inches.

Q: If the area of a triangle is 600 sq mm and the height is 22.2 mm, what is the base to the nearest…

A: Area of triangle

Q: A cylindrical soup can has a height of 8 in. and a radius of 3in.  If the height is doubled on a…

A: We can make it easier for you

Q: A circle has a diameter of 14 ft. If the area is tripled, what happens to the circumference.

A: Explanation of the answer is as follows

Q: The base of a 30-foot ladder is 10 feet from a building. If the ladder reaches the flat roof, how…

A:

Q: A model car has a ratio of 1:25 to the actual car. If a model is 5 inches long. how long is the…

A: Solution

Q: The ratio of the areas of two right triangles is . If the length of the hypotenuse of the larger…

A:

Q: A supporting wire is to be attached to the top of a 50-foot antenna. If the wire must be anchored 50…

A: Given,           A supporting wire is to be attached to the top of a 50-foot antenna and the wire…

Q: The distance around the Earth's equator is 40,077 kilometers, and the population of the United…

A: Given that, Distance around Earth's equator = 40077km We know that , 1km=105 cm Therefore,…

Q: A right triangle has legs of 12 and 5 cm respectively. How much is the product of its three heights

A: We can use mensuration in order to solve the given problem.

Q: A tart rope starting from the top of a flagpole and tied to the ground is 15 meters long.If the pole…

A: Given that  Length of rope =15 m  Height of the pole =7 m  To find the distance from rope to base of…

Q: . If a concrete column is 20" in diameter and 18'-3" in height, how many cubic yards of concrete…

A: Volume of the Column is given by πr^2h.

Q: A wire 380 in. long is cut into two pieces. One piece is formed into a square and the other into a…

A: Let the side of the square be: x inches. Let the radius of circle be: r inches.

Q: How could you do Problem 53 without using algebra?

A: Given- A board of length 20 foot. To find- The length of two pieces, if it cut into the ratio 7:3.

Q: the length of each side of a square is 3 inches longer than the sides of a smaller square. The…

A: We have to find the length

Q: A rectangle is 4 in. x 6 in. What are the sides of similar rectangle if the ratio of similitude is…

A: As similitude factor SF is less than one.So, multiply the SF to get the dimensions of the rectangle…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.