agarza0326
07.06.2021 •
Mathematics
Derek is skiing on a circular ski trail that has a radius of 0.6 km. Derek starts at the 3-o'clock position and travels 2.4 km in the counter-clockwise direction.
a. How many radians does Brian sweep out?
b. When Brian stops skiing, how many km is Brian to the right of the center of the ski trail?
c. When Brian stops skiing, how many km is Brian above of the center of the ski trail?
Solved
Show answers
More tips
- 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?...
- A Art and Culture Who Said The Less We Love a Woman, the More She Likes Us ?...
- F Family and Home How to Get Rid of Your Neighbors?...
Answers on questions: Mathematics
- M Mathematics Select the correct answer. What is 2 /12 divdied by 1/3 A.3 /12 B.7 12 C.7 1/6 D. 2 15...
- M Mathematics What is the degree of 5x2 + 3x2 - 4x+1? 3 4 5 6...
- M Mathematics use the following information to identify the order ordered pairs of two points that would represent the lines of symmetry for each polygon a square with vertices at Q...
- M Mathematics In the diagram, line x is parallel to line y,m21= 65°, and m27 = 55°. Stuart says that m212 = 60°. His reasoning is shown. Step 1: mZ8 = 60°, because m21+ m27 +m28 = 180º....
- M Mathematics A thermometer comes with a guarantee that the stated temperature differs from the actual temperature by no more than 1.5 degrees Fahrenheit. Write an equation to represent...
- M Mathematics What was one way American colonists resisted British policies before the American Revolution? A. They organized armed militia groups. B. They boycotted the Continental...
- M Mathematics a train crosses a platform in 122 meters long in 17 seconds and a bridge of 210 meter long in 25 seconds at a same time what is speed of train ...
- M Mathematics I need help solving this problem...
- M Mathematics Can somebody help me Answer to this ??...
- M Mathematics Which equation represents a circle with the same center as the circle shown but with a radius of two units...
Ответ:
a) Brain sweep out 4 radians
b) Brian is -0.3922 km to the right of the center of the ski trail
c) Brian is -0.4541 km above of the center of the ski trail
Step-by-step explanation:
Given the data in the question;
circular ski trail radius = 0.6 km
Derek starts at the 3-o'clock position and travels 2.4 km in the counter-clockwise direction.
a) How many radians does Brian sweep out?
arc length = 2.4 km
from the diagram;
arc length = rθ
θ = arc length / r
θ = 2.4 / 0.6
θ = 4 radians
Therefore, Brain sweep out 4 radians
b) When Brian stops skiing, how many km is Brian to the right of the center of the ski trail?
from the diagram;
x = rcosθ
we substitute
x = 0.6 × cos(4)
x = 0.6 × -0.65364
x = -0.3922 km
Therefore Brian is -0.3922 km to the right of the center of the ski trail
c) When Brian stops skiing, how many km is Brian above of the center of the ski trail?
from the diagram;
m = rsinθ
m = 0.6 × -0.7568
m = -0.4541 km
Therefore, Brian is -0.4541 km above of the center of the ski trail
Ответ: