If a spherical tank 4 m in diameter can be filled with a liquid for $800, find the cost to fill a tank 8 m in diameter.

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…

A:

Q: An observatory has the shape of a right circular cylinder surmounted by a hemisphere. If the radius…

A: Given: The radius of cylinder is 14 ft. and its altitude measures 30 ft. To find: The surface area…

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: The length of a rectangle is 3 ft longer than its width. If the perimeter of the rectangle is 46 ft,…

A:

Q: If you have a cone whose height is 10 cm and a radius of 3cm, how will the volume change if the…

A: given,       If you have a cone whose height is 10 cm and a radius of 3cm.     and if the height…

Q: This water tower holds 85,000 cubic feet of water. If we know that the tower has a diameter of 30…

A:

Q: You read online that a 15 ft by 20 ft brick patio would cost about $2,275 to have professionally…

A: Given: The cost of installation of 15 ft × 20 ft brick patio is $2275. Aim: To find the cost of…

Q: A rectangular parcel of land is 70 ft. longer than it is wide. Each diagonal bewteen opposite…

A:

Q: The diameter of a sphere is 15 inches. What is the volume of the sphere, to the nearest tenth of a…

A: We find volume of sphere here.

Q: A rectangular building has a length of 100 feet, a width of 50 feet and a height of 12 feet. If the…

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Q: A cylindrical tank to hold gasoline at a gas station is designed to have a height equal to twice the…

A:

Q: A picture that measures 4 inches by 5 inches is placed in a frame of uniform width. If the area of…

A:

Q: A snack food company has decided to package its new brand of crackers in a box shaped like a…

A: Given data is : Volume=10834 cubic inches=108.75 inch3 Widthw=714inch=7.25inch Depth d=114 inch=1.25…

Q: If the owner of the airplane in the previous question wanted a single 120 gallon tank install the…

A: Here we will find the length of tank required,

Q: You read online that a 15 ft by 20 ft brick patio would cost about $2,275 to have professionally…

A: Given  Cost of a 15 ft by 20 ft brick = $2275

Q: A farmer has a 200 ft by 40 ft rectangular field that he wants to reduce to 45% of its original…

A: Solve the following

Q: In a hollow cylinder, the sum of the external and internal radii is 14 cm and the width is 4cm. If…

A: Given : In a hollow cylinder, the sum of the external and internal radii is 14 cm and the width is…

Q: 3. if 1 square unit = 10 square meters, and 1 liter of paint that costs 200.00 pesos can cover 13.33…

A:

Q: A roof in the shape of a cone has a diameter of 15 feet and a slant geight of 18 feet. If one box of…

A:

Q: Rena needed a cone container to hold 450 cubic inches of soil for a new plant. If the container must…

A: Given that V=450 cubic inches r=6 inches find height h=? Volume of a cone isV=13πr2h

Q: A Norman window consists of a rectangle surmounted by a semicircle. If the perimeter of a Norman…

A: we should find the height of the rectangle such that the window will admit the most light.

Q: You reduce the radius of a sphere to make a new sphere that has a radius of 2 cm. If the ratio of…

A: It is given that, radius of original sphere is, radius of smaller sphere is, Ratio of volume of…

Q: The area of the wings of a small Cessna is 195 ft2. If the length is 34 ft longer than the width,…

A: We have to find out dimension of rectangle

Q: A gardener plans to enclose a rectangular region using fencing on three sides and part of a shed on…

A: Let the adjacent of side be x ft. then the other side will be be 5x ft. The area of rectangular…

Q: A rectangular plot of land is to be seeded with grass.  If the plot is 18 m by 20 m and a 1kg bag of…

A:

Q: The area of the wings of a small Cessna is 195 ft2. If the length is 34 ft longer than the width,…

A:

Q: True or False The surface area of a rectangular prism is 2,280 square feet. If the width and height…

A: Rectangular PrismGiven:- Surface Area = 2,280L = 24, W = 20, h = 15∴ Formula, Surface Area (SA)SA =…

Q: The surface area of a rectangular prism is 2,280 square feet. If the width and height are 20 and 15…

A: Given,         The width and height are 20 and 15 feet and the length of the prism is 24 ft.

Q: A rectangular lot 60 ft. Iong and 30 ft. wide is to be surrounded by a fence with posts 6 ft apart.…

A:

Q: A basement for a 25 ft by 42 ft house is to be dug at a depth of 8 feet. How many cubic yards of…

A: Given: Size of basement is 25 ft×42 ft and depth of house=8 ft.

Q: A ladder that is 5 feet long is resting against the top of a wall that is 4 feet high. How far away…

A:

Q: The town of Goodland, Kansas, claims that it has one of the world's largest easels. It holds an…

A: Both original & reproduction are similar. So, the length to width ration is same  l1  = ?  b1 =…

Q: If the radius length of one sphere is three times as long as the radius length of another sphere,…

A: Let a be the length of the radius of the smaller sphere.Since, it is given that the length of one…

Q: Two cylinders are similar and their volumes are in a ratio of 5:4. If the smaller cylinder has a…

A:

Q: A window pane has dimensions of 30" by 22" of glass sales for 80 cents per square inch how much will…

A:

Q: The area of the wings of a small Cessna is 185 ft2. If the length is 32 ft longer than the width,…

A:

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: A parcel delivery service will deliver a package only if the length plus girth (distance) around…

A: Given problem is :

Q: Two trim boards need to be used together to cover a 12-ft length along one wall. If Jim recalls that…

A: Given that two trim boards need to be used together to cover a 12-ft length along one wall. And one…

Q: if 1 square unit = 10 square meters, and 1 liter of paint that costs 200.00 pesos can cover 13.33…

A:

Q: How many cubic feet of soil must be excavated to make a railroad embankment 200 ft long if a cross…

A: Solve by using mensuration formulas

Q: A rectangular garden is 25 ft wide. If its area is 1125 ft 2 , what is the length of the garden?

A: It is given that the are of the rectangular garden is 1125 sq ft and its width is 25 ft. Thus,…

Q: If pediatric dose of an anticonvulsant drug is 250 mg/m2, what would be the amount of drug per dose…

A: Given that, Pediatric dose of an anticonvulsant drug is 250mg/mm2. Weight of a child = 50 lb. =…

Q: Mr. Trombley says that half a sphere stacked on top of a cone roughly models an ice Cream cone. Find…

A:

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: An artist is contracted to paint a mural on the rectangular side of a building. If the dimensions of…

A:

Q: The length and width of a room measure 8 yards by 3 yards, and the walls of the room are 8 feet…

A: Given, 1 yard = 3 feet length = 8 yards =24 feet width = 3 yards = 9 feet height = 8 feet The total…

Q: An artist is contracted to paint a mural on the rectangular side of a building. If the dimensions of…

A: The dimensions of the wall are 149 ft by 74 ft.

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.