A car is traveling at a speed of 42.7 m/s on an interstate highway where the spe

Question

A car is traveling at a speed of 42.7 m/s on an interstate highway where the speed limit is 75.0 mi/h. Is the driver exceeding the speed limit? Yes No Justify your answer. The diameter of a sphere is measured to be 3.08 in. Find the radius of the sphere in centimeters. Find the surface area of the sphere in square centimeters. Find the volume of the sphere in cubic centimeters. A point is located in a polar coordinate system by the coordinates r = 6.8 m and theta = 36 degree. Find the x- and y-coordinates of this point, assuming that the two coordinate systems have the same origin. A certain corner of a room is selected as the origin of a rectangular coordinate system. If a fly is crawling on an adjacent wall at a point having coordinates (2.6, 1.9), where the units are meters, what is the distance of the fly from the corner of the room?

Explanation / Answer

6)

for the car ,

speed of car = 42.7 m/s

speed of car = 42.7 * (1/1609) miles /(1/3600) hour

speed of car = 95.53 miles/hour

the car is exceeding the speed limit

7)

a) radius of sphere = diameter/2

radius of sphere = 3.08 * 2.54/2

radius of sphere = 3.912 cm

b)

surface area of the sphere = 4pi * r^2

surface area of the sphere = 4pi * 3.912^2

surface area of the sphere = 192.2 cm^2

c)

volume of sphere = 4/3 pi * r^3

volume of sphere = 4/3 pi * 3.912^3

volume of sphere = 25.41 cm^3

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