In the 1908 Olympic Games,the Olympic marathon was length ened from 40kilometers to approximately 42 kilometers. Of the following,which is closest to the increase in the distance of theOlympic marathon,in miles?(1 mile is approximately 1.6kilometers.)

On a certain map, 1 inch represents 2 kilometers. A region is located on the map that is 1.5 inches by 4.0 inches. What is the actual area of the region in square miles if 1 kilometer is equal to 0.6 mile?

An object detected or radar is 5 miles to the east, 4 miles to the north, and 1 mile above the tracking station. Among the following, which is the closet approximation to the distance, in miles, that the object is from the tracking station?

The weight of an object on or beneath the surface of the moon varies directly as its distance from the center of the moon, assuming that the moon has uniform density . The radius of the moon is approximately 1,080 miles. If an object weighs 60 pounds on the surface of the moon, how far beneath the surface, in miles , would it have to be to weigh 50 pounds ?

If three particles of masses 2kg, 1kg and 3kg are placed at corners of an equilateral triangle of perimeter 6m then the distance of centre of mass which is at origin of particles from 1kg mass is (approximately) (Assume 2kg on x-axis)

One method of calculating the approximate age , in years, of a tree of a particular species is to multiply the diameter of the tree, in inches, by a constant called the growth factor for that species. The table above gives the growth factors for eight species of trees. If a white birch tree and a pinoak tree each now have a diameter of 1 foot,which of the following will be closest to the difference,in inches,of their diameters 10 years from now?(1foot=12inches)

A formula for the volume of a right circular cone is V = 1/3 pi r^(2) h , where r is the radius of the base and h is the height of the cone. Using 22/7 as an approximate value for pi , which of the following values is closest to the volume, in cubic inches, of a cone with height 28 inches and radius 6 inches?

At the moment t=0 a particle leaves the origin and moves in the positive direction of the x-axis. Its velocity varies with time as v=v_0(1-t//tau) , where v_0 is the initial velocity vector whose modulus equals v_0=10.0cm//s , tau=5.0s . Find: (a) the x coordinate of the particle at the moments of time 6.0 , 10 , and 20s , (b) the moments of time when the particles is at the distance 10.0cm from the origion, (c) the distance s covered by the particle during the first 4.0 and 8.0s , draw the approximate plot s(t) .

The orbit of the Earth is an ellipse with eccentricity 1/60 with the Sun at one of its foci, the major axis being approximately 186 xx 10^(6) miles in length. Find the shortest and longest distance of the Earth from the Sun.

A star constellation is approximately 3.1times10^(4) light years from Earth. One light year is about 5.9times10^(12) miles. What is the approximately distance, in miles, between Earth and the constellation.