A designer is drawing a scale model of a living room. The scale is such that 3/8" on the plan represents 1 foot in the living room. If the sofa is 7'3" long, how long is it on the plan?

Q: The distance between two cities is 325 miles. If the scale on a map reads 1 inch = 50 miles. What is…

A: Distance between the two cities in real is 325 miles. Scale on the map is 1inch= 50miles. It means…

Q: How many classrooms would be necessary to hold 1,000,000 inflated balloons? (Assume one balloon is…

A:

Q: Suppose you wish to make a scale drawing of your living room, which measures 18 ft by 22 ft. If the…

A: This question can be solved using the concept of Scale Factor.

Q: A 53 feet wire is used to brace a utility pole. If the wire is attached 5ft from the top of the 38ft…

A:

Q: A 25-foot ladder is placed 7 feet from the wall, as shown. 25 ft. 7 ft. If the top of the ladder…

A: Trigonometry Question

Q: foot

A:

Q: What is the actual length of the table? A furniture company is working on a model of a table that…

A: Explanation: Given that,  The ratio of length to breadth: lb=32

Q: A wire is stretched from the top of an 8 foot pole to a bracket 5 feet from the base of the pole.…

A: Pythagorus theorem: Hypotenuse2=Perpendicular2+Base2

Q: the instructions for a model car show a scale of 1 inch to 48 inches how long is the actual car if…

A: According to the scale 1 inch represents  48 inches , So this implies , if the drawing is 4 inches,…

Q: A scale drawing of a car uses a scale of 2 cm = 1 m. What is the length of the car in the drawing if…

A: A scale drawing of a car uses a scale of 2 cm=1 m.

Q: The distance from a point H to a point K, measured in centimeters, is 23. If we choose millimeter as…

A: 1 cm=10 mm

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: The scale for the drawing of the model home is 3 inches to 10 feet. What is the area of the windows…

A: actual area of window  =  90 square feet 1 foot = 12 inches  1 foot2 = 144 in2

Q: A trophy is to be molded out of a metal that costs 3 cents per cubic centimeter. If the shape is a…

A: Consider the diagram of the trophy as per given information,

Q: A 12-ft ladder leans against the side of a house. The bottom of the ladder is 6 ft from the side of…

A: Given,         A 12 ft ladder leans against the side of a house. The buttom of the ladder is 6 ft…

Q: A 18-loot ladder is placed against a vertical wall of a building, with the bottom of the ladder…

A:

Q: The distance between Caperton and Jonesville is 80 miles. The scale on the map is 0.75in.: 10 miles.…

A: Given information : The distance between Caperton and Jonesville is 80 miles.  The scale on the map…

Q: A glass blower takes a small glass sphere and enlarges it to 24 times its original size. If the…

A:

Q: The scale for the dlagram of the doghouse Is 1 In : 3 ft. Find the length of the actual doghouse.

A: Given Data: Scale Factor: 1 in : 3 ft From the diagram, The length of the doghouse is: Ld=0.75 in.…

Q: A 16 foot ladder rests against the side of the house, and the base of the ladder is 4 feet away.…

A:

Q: Express the ratio in lowest terms. 4 in? : 3 ft?

A: We know 1ft = 12 in So 1ft² = 144in²

Q: 1. Find the areas of these scale (For additional practice, see Sur 12 ft. a. 12 ft. 12 ft. 12 ft.

A: Explanation of the answer is as follows

Q: A building that is 60 ft long would be shown as what length on a blueprint if the scale is 1/4…

A: Actual height of building =60 ft  Let x (in inches ) be the height of building in blue print  Also…

Q: A cylinder-shaped sediment tank at a wastewater treatment plant has a diameter of 80 ft. If the…

A: NOTE: Refresh your page if you can't see any equations. . the diameter of the cylinder is d=80 feet…

Q: On a scaled drawing, a building measures 4.5 cm tall. If the scale of the drawing is 25 meters per 2…

A: Given   The building measures 4.5 cm tall on scale .  The scale of the drawing is 25 meters per 2 cm

Q: An 8ft length of 4 inch wide crown molding costs $15. How much will it cost to buy 40 ft of crown…

A:

Q: An 11-ft ladder leans against the side of a house. The bottom of the ladder is 7 ft from the side of…

A: AC represents the ladder    point C represents the bottom…

Q: A cyclist rides at a rate of 20 mph for 45 min. How far does the cyclist travel in that time?____mi

A: Given: Speed of the cyclist, v = 20 mphtime taken, t = 45 minConverting time into hours, t = 45/60…

Q: On an architectural drawing, 1 2  in. represents 1 ft. Using this scale, find the…

A: Given measures are,

Q: To calculate the cost of painting his silo, a farmer must find its height. The farmer uses a…

A: Using trigonometry find height

Q: A contractor is building the base of a circular fountain. On the blueprint, the base of the fountain…

A:

Q: An architectural drawing lists the scale as 1/4 in = 1 ft. If a bedroom measures 1 1/2 in by 2 1/4…

A:

Q: On a blueprint, a 1-in. scale corresponds to 3 ft. To show a room with actual dimensions 12 ft wide…

A: We have given 1 -inch scale corresponding to 3 ft.

Q: The scale on a map is 0.5 in.:10mi. If the map shows that the distance from Barkley to Winston is…

A: The scale on a map is 0.5 in.:10mi. The map shows that the distance from Barkley to Winston is 4.5in…

Q: A 18.5cm long pencil that has the shape of a regular 6-sided prism with a base edge of 3.5mm, we…

A: The base is regular hexagon with side 3.5mm.    The regular hexagon is consist of 6 equilateral…

Q: before it hits the ground). If an object fell 75 ft in 4 seconds, how far will

A: Given query is to find the distance fallen in 8 seconds.

Q: Columbus and Dayton are 9.7 cm apart from each other on a map that has a scale of 1.1 cm: 15 mi. How…

A:

Q: The width of a dining room floor in a scale drawing is 6in. The actual width is 30ft. What is the…

A: he width of a dining room floor in a scale drawing is 6in. The actual width is 30ft. 6 in. is…

Q: A contractor is building the base of a circular fountain.On the blueprint, the base of the fountain…

A: Given   Base of foundation is circular Blueprint diameter=18cm  Scale 3cm=4ft  1 cm =4/3 ft So 18cm…

Q: A 25-foot ladder is placed 7 feet from the wall, as shown. 25 ft. 7 ft.

A: Figure is given by

Q: In a scale drawing of a house. 2 inches : 5 feet. The actual kitchen of the house will be 17 feet…

A: scale : 2 inches : 5 feet length in drawingactual length =25

Q: A meteorologist measured the eyes of hurricanes to be 13 to 18 miles in diameter during one season.…

A:

Q: drawing

A:

Q: A bookcase measures 14 feet wide and 18 feet tall. What would the bookcase’s measurements be on a…

A: Given width = 14 feet Height = 18 feet On scale = 2cm : 3ft = 2/3

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: 5 The actual length of a full size school bus is 40 feet. Which toy school bus is built to a scale…

A: Let assume length of the toy school bus = x inches Given scale is 1 inch = 5 feet Means 1 inch of…

Q: A furniture company is working on a model of a table that has a scale of 3 in. : 2 ft. The Length of…

A: Given- A furniture company is working on a model of a table that has a scale of 3 in. : 2 ft. The…

Q: What is the scale if the model of a building is 5 inches tall and the height of the actual building…

A: We know that, Scale = dimension of the model / actual dimension

Q: The length between the bases on a baseball field is 90 feet. The scale drawing shows the distance…

A: Given The length between the bases on a baseball field is 90 feet. The scale drawing shows the…

Q: see attachment

A: From the figure, it is observed that

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.