Chapter 1: Problem 42
You step on your brand-new digital bathroom scale, and it reads 125.4 pounds. What is your mass in kilograms?
Over 30 million students worldwide already upgrade their learning with Vaia!
All the tools & learning materials you need for study success - in one app.
Get started for free
Consider a sphere of radius \(r\). What is the length of a side of a cube that has the same surface area as the sphere?
A friend walks away from you a distance of \(550 \mathrm{~m}\), and then turns (as if on a dime) an unknown angle, and walks an additional \(178 \mathrm{~m}\) in the new direction. You use a laser range-finder to find out that his final distance from you is \(432 \mathrm{~m} .\) What is the angle between his initial departure direction and the direction to his final location? Through what angle did he turn? (There are two possibilities.)
A car's gasoline tank has the shape of a right rectangular box with a square base whose sides measure \(62 \mathrm{~cm} .\) Its capacity is \(52 \mathrm{~L}\). If the tank has only 1.5 L remaining, how deep is the gasoline in the tank, assuming the car is parked on level ground?
If you draw a vector on a sheet of paper, how many components are required to describe it? How many components does a vector in real space have? How many components would a vector have in a four-dimensional world?
Given the equation \(w=x y z,\) and \(x=1.1 \cdot 10^{3}\), \(y=2.48 \cdot 10^{-2},\) and \(z=6.000,\) what is \(w,\) in scientific notation and with the correct number of significant figures?
What do you think about this solution?
We value your feedback to improve our textbook solutions.
