On a scale drawing of a soccer field, 1 inch equals 8 feet. What is the actual area of the soccer field if the scale drawing is 10.25 inches by 7.75 inches? Area = squared feet

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: Leonardo da Vinci measured various distances on the human body in order to make accurate drawings.…

A: Leonardo da Vinci measured various distances on the human body in order to make accurate drawings.…

Q: The Anwar family is planning to build a new home. They have hired 2 different architects to create…

A: Anderson Architect measurement scale 1 in = 1.5 feet 12 inch = 1.5*12 = 18 feet Area = 12*12 in2 =…

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

A:

Q: 3. The volume of a party hat is 235.5 cubic inches. If the RADIUS is 5 inches, 1 point what is the…

A: volume of cone= V=1/3hπr².

Q: A rectangle is drawn so the width is 8 inches longer than the height. If the rectangle's diagonal…

A:

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: What is the smallest and what is the largest unit of measures nearest to 6 and one-fourth inches if…

A: GIVEN  nearest to 6 and one-fourth inches if we are measuring to the nearest sixteenth of an inch.…

Q: A triangular parcel of land has sides of lengths 330 feet, 650 feet and 732 feet. a) What is the…

A: We can answer both the question as below.

Q: Ms Susan is making a scale model of her classroom. The scaled down room is 10 1⁄4 inches by 8…

A: The area of a rectangle having length l and breadth b is given by the formula: Area =…

Q: The widest distance across a scale model of the planet Venus is 15 centimeters. The actual widest…

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Q: The blueprint below shows the inside surface area to be painted. The ratio of the blueprint to the…

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Q: What is the side length of a square with an area of 40 square centimeters? Measured with a ruler,…

A: We know that if a square has side length a, then its area is given by A=a2 Now here the area of the…

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

A:

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: What is the court size in square meters if the drawing is 20 centimeters by 40 centimeters and uses…

A: Use the scale ratio to determine the length and width of the court. scale:145Thus, 1 cm on…

Q: Kansas City, MO and St. Louis, MO are 248 miles apart. On a map, these two cities are 4.9…

A: Kansas City, MO and St. Louis, MO are 248 miles apart. On a map, these two cities are 4.9 cm apart.…

Q: The

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Q: On a scale drawing of a soccer field, 1 inch equals 8 feet. What is the actual area of the soccer…

A: Since a soccer field is a shaped like rectangle so the field must have length and width. The length…

Q: wide, what is the length of the porch?

A:

Q: A piece of wire was cut into 2 equal pieces, each measuring 156 cm. One-piece was used to form a…

A: The length of each piece of the wire is 156 cm. One piece is bent in the form of a rectangle other…

Q: A map of Washington, D.C. uses a scale of 1 cm:500 m. If the actual distance between the U.S.…

A: Given a scale of 1 cm: 500 m The actual distance between the U.S. Capital and Union Station: 750 m…

Q: Before a building was constructed, a scale model was created. The scale model is 15 inches wide, 25…

A: Given data: The given width is b=15 in, The given length is l=25 in. The given height is h=50 in.…

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

A: Let height of rectangle be (x)" So, width of rectangle = (x+6)" Diagonal of rectangle = 37"

Q: Explain an easy way to show that the proportions and are = not equivalent.

A: We have to show that the given proportions are not equivalent: x7=23 and x2=37. We know from…

Q: A rectangle is drawn so the width is 49 inches longer than the height. If the rectangle's diagonal…

A: Given that: Width of rectangle is 49in longer than height.Diagonal measurement = 61 in.

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 triangle has legs that measure 4 cm and 10 cm. What is the approximate measure of the hypotenuse?

A: According to Pythagoras theorem :

Q: Say you would like to design an aluminum container that will hold 32 ounces of water (1 ounce is…

A:

Q: 15 people can fit comfortably into a 5 x 5 feet square.  What is the ratio of number of people and…

A:

Q: The legend of a map is one-half inch equals 3 miles.  Two towns are 3.5 inches apart on the map.…

A:

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: The scale on a map indicates that 1 centimeter on the map corresponds to an actual distance of 30…

A: Solution : 1cm=30km  .. 15.6cm=x km  say ... 2from the equation 121cm5.6cm=30kmx km5.6cm1cm=x km30…

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 common ratio of two similar figures is 1:3 If the surface area of the smaller figure is 72…

A:

Q: The length of a driveway on a blueprint is 6 inches. It uses a scale where 2 inches represent 8.25…

A: Given, the length of a driveway on a blueprint is 6 inches. It uses a scale where 2 inches represent…

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: A scale drawing is to be made of the floor of a rectangular room whose dimensions are 72 feet by 40…

A: The perimeter of a rectangle is calculated using the formula: P=2l+w, where, l, w are the length,…

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: The distance between Capeton and Jonesville is approximately 128 kilometers. The scale on the map is…

A: From the given data 0.75 inches=16 kilometers 1 kilometer=0.75/16 inches…

Q: A triangular parcel of land has sides of lengths 760 feet, 840 feet and 799 feet. a) What is the…

A: Topic- Triangle

Q: A photo needs to be enlarged from an original with a length of 7 inches and a width of 5 inches to a…

A: The original length of the photo = 7 inches The original width of the photo = 5 inches The new width…

Q: It is 3560 miles from California to New York. On a map that is 8 inches. What is the scale factor?…

A: We know that, a scale factor in math is the ratio between corresponding measurements of an object…

Q: The distance between Boston and Chicago on a map is 9 inches. If the scale of the map is 1 inch : 95…

A:

Q: A triangular parcel of land has sides of lengths 620 feet, 430 feet and 530 feet. a) What is the…

A:

Q: Bob makes a drawing of a garden that has a scale of 5 cm for each meter. If the garden will be 15 m…

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Q: The scale on a map is drawn so that 5.5 inches corresponds to an actual distance of 425 miles. If…

A: Let they are x miles apart.  The actual distances and the distances on the map must be proportional.…

Q: 3 1, 2.

A: Given: Area of square 1= 250 unit2 Area of square 3= 120 unit2

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.