The scale on a map is drawn so that 5.5 inches corresponds to an actual distance of 425 miles. If two cities are 12.75 inches apart on the map, how many miles apart are they? (Round to the nearest tenth)

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: The state of Louisiana covers an area of approximately 135,659 square kilometers. The total water…

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Q: A rectangle is drawn so the width is 7 inches longer than the height. If the rectangle's diagonal…

A: A width of  rectangle is 7 inches longer than the height and its diagonal measurement is 37 inches.

Q: A rectangle is drawn so the width is 6 inches longer than the height. If the rectangle's diagonal…

A: Let the width of rectangle= x inches  Hight = x+6 inches  And diagonal= 44 inches

Q: The scale on a set of architectural drawings for a house is 1 3/4 inches = 2 feet. If the master…

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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: The ratio of kangaroos to koalas was 9 to 5. If there were 414 kangaroos, how many koalas were…

A: There were 230 Koalas if thare were 414 kangaroos.

Q: A pole that is 3 m tall casts a shadow that is 1.4 m long. At the same time, a nearby tower casts a…

A: We can answer the question as below.

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 circular table top has an area of 324 square inches. Which measurement is closest to the…

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Q: A rectangle is drawn so the width is 4 inches longer than the height. If the rectangle's diagonal…

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Q: A U.S. Geological Survey map has a scale of 1 inch:23800 inches. If two buildings are 3.42 miles…

A: The given problem is asking about distance between two building on map when they have 3.42 miles…

Q: A circle is divided into 8 even segments.  If the radius of the circle is 7 inches what is the area…

A: The circle is divided into 8 segments as shown.    As seen from the shaded region below, the area…

Q: Westfalls is 7 miles south of Edenville and Concord is 13 miles west of Westfalls. What is the…

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

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Q: A single bar graph is sometimes used like a circle graph. If the bar is 8 cm, how long is each piece

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Q: The state of Hawaii covers an area of approximately 28,313 square kilometers. The total water area…

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Q: A 9-foot ladder is placed 4 feet from the base of a building. About how high does the ladder reach?

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Q: A dollar bill is 6.14 inches long. If you laid ten million dollar bills end-to-end lengthwise, how…

A: Given, Length of one dollar bill = 6.14 inches Total length of ten million dollar bills =…

Q: A map has a scale of 215 miles to the inch. How far apart and reality are two cities that are 4…

A: Consider the given scale: 1 inch=215 miles If two cities are 4 inches apart on map. Then, in…

Q: A rectangle is drawn so the width is 5 inches longer than the height. If the rectangle's diagonal…

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Q: Westfalls is 7 miles south of Edenville and Concord is 13 miles west of Westfalls. What is the…

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Q: a board 13 1/4 inches long is cut from a board that is 2 feet long. If the width of the saw cut is…

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Q: An earthquake could be felt over a 46,000-mi2 area. Up to how many miles from the epicenter could…

A: Let the distance from the epicenter is = r = radius of the area.

Q: If all sides of a triangle is 8 meters, what’s the area?

A: →When all sides of a triangle is equal then it is called equilateral triangle.→Area of equilateral…

Q: A circular pond is being divided into 5 equal sections for different types of fish. If the shaded…

A: The given figure is,  From this, we get, radius r=12 feet

Q: How many inches long is the radius of the largest circle that can fit inside a rectangle 18 inches…

A: topic - rectangle and circles maximum diameter of circle that can fit inside the rectangle is equal…

Q: A pole vaulter rested a 17-foot pole against a wall. If the top of the pole hit the wall 14 feet…

A: Explanation of the answer is as follows

Q: If a 3.5 inch length on a drawing represents 20 feet, what length represents 45 feet? Round to…

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Q: On a map 1 inch equals 11.4 miles. If two cities are 1.5 inches apart on a map, how far they…

A: To find the actual distance between two cities

Q: If 1/3 scale is = to 1 inch. How tall will a statue be in feet if I am 72 inches tall.

A: Consider the length of statue will be equal to the person with height 72 inches.

Q: Your odometer reads 4,280 miles total for your road trip to San Diego then back to Atlanta, but your…

A: The given data is the odometer reads 4,280 miles, the circumference of the factory installed tires…

Q: A rectangle is drawn so the width is 41 inches longer than the height. If the rectangle's diagonal…

A: Let us consider height of rectangle is x, Therefore by given condition width of rectangle is x+41,…

Q: How many miles are there between two cities, if the distance is represented by a 2.4 inch line on a…

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Q: A rectangle is drawn so the width is 3 inches longer than the height. If the rectangle's diagonal…

A: Let x be the height of the rectangle.Then, width is x + 3The diagonal measurement of the rectangle…

Q: The distance around a building is 3/4 of a mile. On a map, the scale is 1/4 inch= 1/2 mile. What is…

A: The distance around a building is 3/4 of a mile Given scale : 14inch=12mile

Q: A map has a scale of 0.5 inch = miles. How far apart would two cities be on the map if they are…

A: Given,           A map has a scale of 0.5 inch=75 miles. The two cities on the map           are…

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

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Q: If the size of the cake is equal to one, what is the area and thickness?

A: Here we should assume the shape of the cake since it is not given. Here size we will take in the…

Q: The ratio of blue cards to green cards is 2 to 5. There are 8 blue cards. Complete the diagram and…

A: Given The ratio of blue to green cards is 2 to 5 Means if there are 2 blue cards than 5 green cards

Q: On a map, Winton, California is located at (2, 10.5) and Lake Tahoe is located at (14, 16). Each…

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Q: If you place a 36-foot ladder against the top of a building and the bottom of the ladder is 32 feet…

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Q: On a map, the scale is 1inch = 12 miles. If the distance between two towns on the map is !! 4.5…

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Q: A 6.5 foot tall man casts a shadow that is 3.3 feet long. If the shadow of a pole is 9 feet, how…

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Q: A model airplane is built at a scale of 1 inch to 72 feet. If the model plane is 8 inches long, how…

A: The scaling is done with a factor of 72 feet  : 1 inch.  So when model plane is 8 inches long then…

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: A stake 96 feet high casts a shadow 21 feet long at the same time that a tree casts a shadow 34 feet…

A: A stake 96 feet high casts a shadow 21 feet long at the same time that a tree casts a shadow 34 feet…

Q: What is the estimated digit if the length of an object being measured falls exactly on the 5-cm…

A: Consider the provided information, What is the estimated digit if the length of an object being…

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.