A builder plans to construct a house on a rectangular lot, as shown in this sketch. Draw a scale diagram of the lot and house using a scale of 1m: 500m.

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: A scale drawing of a building needs to be made using the scale 1 in =270 ft. How tall will the…

A:

Q: Consider the following measures of the segments shown in the diagram. A AD = 5 cm AE = 12 cm D AB =…

A: Consider the given figure. AD=5 cmAE=12 cmAB=6 cm We have to find the length of the segment AC Use…

Q: Two similar triangles have a scale factor of 15. How much larger is the area of the larger triangle…

A: The solution is given below.

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

A:

Q: Consider the following measures of the segments shown in the diagram. AD = 6 cm AC = 9 cm B. A D…

A: Given,

Q: Your odometer reads 1,820 miles total for your road trip to the Grand Canyon, but your tires are…

A: Odometer reading =1820 miles. 1 mile = 63360 inches. 1820 miles = 1820 × 63360 inches   Odometer…

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: On a scale drawing, the scale is - inch = 1 foot. What are the 2 %3D dimensions on the scale drawing…

A: Given scale drawing, the scale is 12 inch = 1 foot We have to convert the dimensions of the room…

Q: The building below is shown to scale; for every 1 inch of drawing, it is 5 feet in actual distance.…

A:

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

A:

Q: 7. In the circle, mBC = 62°. The diagram is not drawn to scale. %3D

A: If a tangent and a chord intersect at a point on a circle, then the measure of each angle formed is…

Q: What portion of a circle does a sector make up?

A:

Q: How can we determine the difference between a pyramid and a prism?

A: Pyramid has one base and its faces are triangles, where as prism has two identical base and its…

Q: The pyramid of Khufu is a regular square pyramid with a base edge of approximately 776 feet and an…

A: Given data: The given base length is b=776 feet. The given height is h=481 feet. The expression for…

Q: Which geometric solids could be used to describe the approximate shape of the silo?

A: In this question we have to find which geometric solids could be used to best describe the…

Q: Consider the rectangle with width 10 and length 22 , write a ratio of the length to the width as a…

A: Given:- Consider the rectangle with width 10 and length 22 To find:- write a ratio of the length to…

Q: in a scale drawing of the solor system, the scale is 1mm = 500 km. For a planet with a diameter of…

A:

Q: A quater has a diameter of approximately 24 milimeters. What is its approximate circumference

A: Given query is to find the circumference  of the quater l.

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 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: How do you construct a Scalene Right Circumcenter?

A: Three steps have to be followed in order to construct the circumcenter of a right triangle.

Q: The scale factor/ratio of the diameters is the same as ratio of their

A:

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: The sides of a triangle are 12 cm, 8 cm and 5 cm. Calculate the median touching the 12 cm side

A: The sides of a triangle are 12 cm, 8 cm and 5 cm. Calculate the median touching the 12 cm side.

Q: An Olympic pool is rectangular with a length of 50 meters, a width of 25 meters, and a depth of 3…

A: Given that, Length of pool is 50 meters Width of pool is 25 meters Depth of pool is 3 meters Client…

Q: on a map, the distance frome falls city, texas, to pleasanton, texas, mesaures 2 cenimeters. what is…

A: Given :  On a map, the distance from  Falls city, Texas,   to   Pleasanton, Texas,  measures 2…

Q: A map is drawn using the scale 2 cm:100 mi. On the map, Town B is 3.5 centimeters from Town A, and…

A: Given scale is 2cm=100 miles                      1 cm= 50 milesDistance from A to B is 3.5 cm = X…

Q: On graph paper, draw the x-axis and the y-axis. Using a scale of 1 cm to represent 1 unit on both…

A:

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: A Ferris wheel is 57.85 m tall and has a diameter of 54.4 m. What are the dimensions of a scale…

A:

Q: The sports official in a school wants to draw a sports field, width of 20 m and a length of 120 m,…

A: 1 cm is eqivalent to 1 m.

Q: State the similarities and differences of kite and trapezoid.

A: Given data÷

Q: Big Flats and Corning are 87 miles from each other. How far apart are the two cities on a map that…

A: Here we will find the distance between two cities on map,

Q: the prism has a side length of 3.5 cm and a height of 2.8 cm. The pyramid has a lateral height of 5…

A: It is given that,  Side length of pyramid base is (let a)=3.5cmHeight of pyramid (let…

Q: A scale drawing of a building needs to be made using the scale 1 in = 180 ft. How tall will the…

A: A scale drawing of building needs to be made using the scale 1 in = 180 ft. We need to find that how…

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: This diagram of a rectangular shopping mall was drawn using a scale factor of 1 centimeter to 25…

A: Given. is the scale factor of a rectangular region. The objective is to find the area of the region.…

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: Two similar triangles have a scale factor of . If the area of the smaller triangle is 180 cm?, then…

A:

Q: A square pyramid has a height of 12 feet and a base of 5 feet. In order to double the V = B 3 %3D

A: Here we will find correct option/s,

Q: A Sense of Proportion: Jupiter is about 71,000 km in radius.  The innermost Galilean moon, Io,…

A:

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

A:

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 hall, 20m long is represented on a diagram as 10cm long. What is the scale of the diagram

A:

Q: You can “unfold” a cube to make six squares, shaped like a cross. You can unfold a cylinder to make…

A: Given: If we unfold a square we get six square shaped like a cross and if we unfold a cylinder we…

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.