![lyn94](/avatars/8481.jpg)
lyn94
01.12.2020 •
Mathematics
A robot has a straight arm 20 inches long that can rotate about the origin of a coordinate system. If the robot’s hand is located at (-20,0) and then rotates through an angle of 45°, what is the new location of the hand with the coordinates approximated to the nearest 0.01 inch?
Solved
Show answers
More tips
- S Science and Technology Colliders: How They Work and Why They Matter...
- C Construction and repair How to Choose the Best Underfloor Heating?...
- C Computers and Internet How to Get Rid of Windows Genuine Check?...
- C Computers and Internet War of Social Media: Which Platform is the Leader?...
- H Health and Medicine How to Treat the Flu: A Comprehensive Guide...
- O Other What is a Disk Emulsifier and How Does it Work?...
- F Family and Home What does a newborn need?...
- F Family and Home Choosing the Right Car Seat for Your Child: Tips and Recommendations...
- F Food and Cooking How to Get Reconfirmation of Registration?...
- C Computers and Internet How to Get Rid of Spam in ICQ?...
Answers on questions: Mathematics
- M Mathematics How can you use the additive inverse to you subtract linear expressions?...
- M Mathematics Jan began with 5/6 pound of modeling clay she used 1/5 of the clay to make decorative magnets...
- M Mathematics Iadd 20 to my number and subtract 17 from the new number. the answer is 37. what is my number?...
- M Mathematics Domain and range for this equation? f(x)= 3x^7+0x^6-0x^5-2x^4-3x^3-2x^2-x^1+x^0...
- M Mathematics These are the values in min-su’s data set. (4, 216), (5, 190), (6, 176), (7,167), (8, 150) min-su determines the equation of a linear regression line to be y=−15.5x+272.8 . use...
- M Mathematics Which situation is most likely to have a constant rate of change? a. number of flowers in a flower bed compared with the area planted which situation is most likely to have a constant...
- M Mathematics What is the slope of the line graphed on the coordinate plane?...
- M Mathematics Jan began with 5/6 pound of modeling clay she used 1/5 of the clay to make decorative magnets she divided the remaining clay into 8 equal portions what is the weight of the clay...
- M Mathematics Last year, sandro bought a book for $13.89. this year the same book cost $15.79. what was the percent of change?...
- M Mathematics In mike s fish tank there are four times as many goldfish as guppies is there are a total of 30 fish in the tank...
Ответ:
The location of the robots hand after rotating 45° counterclockwise from (-20, 0) in inches is (-14.14, 14.14)
The location of the robots hand after rotating 45° clockwise from (-20, 0)) in inches is (-14.14, -14.14)
Step-by-step explanation:
The initial location of the robots hand = (-20, 0)
The angle through which the robot rotates his hand = 45°
∴ We have the length of the robots hand = 20 inches
We note that (-20, 0) is in the 2nd Quadrant
The location of the robots hand after rotating 45° counterclockwise = 135°
Therefore, the location of the robots hand after the rotation = (20×cos(135°), 20×sin(135°)) = (-10·√2, 10·√2) = (-14.14, 14.14)
The location of the robots hand after rotating 45° clockwise from (-20, 0) = 225°
Therefore, the location of the robots hand after the rotation = (20×cos(225°), 20×sin(225°)) = (-10·√2, -10·√2) = (-14.14, -14.14)
Ответ:
( solution at pic)