The scale on a map Indicates that 1 cm on the map corresponds to an actual distance of 40 km of two cities are approximately 5.4 cm apart on that then what is the actual distance between them.

Q: A picture inside a frame is 2in longer than it is wide. There is a 2.5in margin around the picture…

A:

Q: The distance between City A and City B is 250 miles. A length of 1.5 feet represents this distance…

A: Map

Q: A steel cable providing tension on a power pole is anchored 16ft from the pole and reaches 12 feet…

A:

Q: The diameter of a sphere is measured to be 40 cm.if an error of 0.02cm is made in it, thenfind the…

A:

Q: Our galaxy is estimated to be 5.6x109 mi across. How long (in hours) would it take a spaceship to…

A: Time can be calculated by speed formula

Q: There is a bamboo tree 10 ft high. The upper end of the tree is broken, and reaches the ground 3 ft…

A: A detailed solution is given below. Try to use Pythagorean theorem.

Q: A poster has a rectangular printed area 100 cm by 140 cm and a blank strip of uniform width around…

A:

Q: Two cubes have sides of lengths 5 cm and 8 cm. What is the ratio of their respective volumes? Their…

A:

Q: A log is 16 m long, correct to the nearest metre. It has to be cut into fence posts which must be 70…

A: Given that, A log is 16 m long, correct to the nearest metre.   It has to be cut into fence posts…

Q: The area of a regular 11-gon is approximately 2706.67/ square mm. Find the perimeter if the apothem…

A: *to find:- The perimeter of the polygon, P=? *given;- Area of the polygon, A = 2706.67 mm^2 Length…

Q: The bases on a baseball field are 60 feet apart. The pitcher's mound is between second base and home…

A: Sol:- field ABCD is a square of side 60ftpoint E on the AC represents pitcher mound.…

Q: A tank, measuring 30cm x 40cm x 50cm, contains 2 identical cubes. Water is then poured into the tank…

A: Given data is : A tank, measuring 30cm x 40cm x 50cm, contains 2 identical cubes Volume of…

Q: The circumference of a circle is 100 cm. If the radius is increased by 0.1 cm, find the approximate…

A: Follow the procedure given below the.

Q: The nearest star​ (other than the​ sun) is Alpha Centauri. It is 4.34​ light-years from Earth. How…

A:

Q: An inverted square pyramid has a height of 8 feet and a top edge equal to 3 feet. Initially, it…

A: Concept: The term "square pyramid" refers to a three-dimensional geometric form with a square base…

Q: The most powerful light microscope provide only enough magnification to view objects larger than 200…

A: According to SI unit of conversion ;

Q: A 25-foot ladder is placed against a vertical wall of a building, with the bottom of the ladder…

A:

Q: Two identical circles of largest possible area are to be cut from a rectangular piece of stock as…

A: Important Point to keep in mind  The largest circle possible will have its dia equal to smallest…

Q: The average height of men in the US is approximately 5ft 10in. What proportion of women represented…

A: It is given that the height of women follows a normal distribution with mean 64.33 in and standard…

Q: The dimensions of a rectangular block of wood are found to be 100,120 and 200mm, with a possible…

A: Let's find greatest error in the surface area of the rectangular block.

Q: A snail slid 7 cm down a stalk and climbed 5 cm back up. Hlow far was the snail below its original…

A: Given : A snail moves 7 cm down then moves 5 cm up.

Q: A wooden rectangular box is to be made of lumber that is 2/3 in. thick. The inside length is to be 6…

A:

Q: A car traveling at 60 feet/sec decelerates at a constant rate so that it comes to a complete stop…

A: Initial velocity is equals to 60 ft./s

Q: An automobile with 0.310 m radius tires travels 95,000 km before wearing them out. How many…

A: An automobile with 0.310m radius tires travels 95,000km before wearing them out. We have to find how…

Q: An 8.4m telephone pole stands on level ground and leans 5.1° from the vertical. When the pole's…

A: Using the trigonometric formula: sin(x) = Perpendicular/ Height

Q: A farmer has a 40 ft by 50 ft rectangular field that he wants to reduce to 10% of its original size.…

A: Let's find.

Q: You are moving into a new apartment and notice there is a corner where the hallway narrows from 8 ft…

A: Given: Hall way of larger width is 8 ft = a (say). Hall way of smaller width is 8 ft = b (say).…

Q: The diameter of a sphere is measured to be 40 cm.if an error of 0.02cm is made in it,thenfind the…

A:

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

A:

Q: A regular hexagon is dilated by a scale factor of 0.4 to create a new hexagon. The perimeter of the…

A: Let us take the length of the side of the hexagon as x, then the perimeter is 6x.

Q: A large pinecone has a spiral that is 144 units in length, while a smaller pinecone has a spiral…

A:

Q: If rectangle EPOR is dilated from the origin with a scale factor of 1/2, the area of the rectangle…

A: Given the given diagram is The given rectangle is dilated from the origin with a scale factor of…

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 baseball diamond is in Second base the shape of a square with 90-ft sides. How far is it from home…

A:

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

A:

Q: Two ships travelling from Dumaguete to Cagayan de Oro differ in average speed by 10 kph. The slower…

A:

Q: The original area of an image is 10 square units and the area of its dilated image is 160 square…

A: Given The original area = 10 square units area of dilated image = 160 square units

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: If the radius of a circle is .8 increased from 5 cm to 5.1 cm. The approximate increase in area

A: Given that The radius of circle is increased from 5 cm to 5.1cm To find The approximate increase in…

Q: a car is traveling at a speed of 65 mi/h. how long does it take to cover a distance of 235 m

A:

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: According to modern​ science, Earth is about 4.5 billion years old and written human history extends…

A: the entire history of Earth is represented with a 10​-meter-long ​timeline, with the birth of Earth…

Q: A farmer has a 25 ft by 40 ft rectangular field that he wants to reduce to 10% of its original size.…

A:

Q: A plumber has a pipe 10ft long, he wants to cut the pipe in equal pieces which each piece has a…

A: Given that the total length = 10 ft  Let, there will be x pieces So, total length of x pieces is:…

Q: The ideal length of one type of model airplane is 90cm. The actual length may vary from ideal by at…

A: The ideal length of model L = 90 cm Variation in length l = 0.05 cm Acceptable length = L+/- l Upper…

Q: A guy.rope on a tent is 1.5 m long. One end is fixed to the top of a vertical pole and the other is…

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 46 ft wire is used to brace a utility pole. If the wire is attached 3 ft from the top of the 39 ft…

A:

Q: The two figures represent the dimensions of the scale drawing of an actual field and the actual…

A: Given the two figures which represent the dimension of the scale drawing of an actual field and the…

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.