![connienash95](/avatars/9545.jpg)
connienash95
23.08.2019 •
Mathematics
Acone made of cardboard has a vertical height of 8 cm and a radius of 6 cm. if this cone is cut along the slanted height to make a sector, what is the central angle, in degrees, of the sector?
Solved
Show answers
More tips
- H Health and Medicine Contraceptive Pills After 35: The Importance Of Choosing The Right Medication...
- C Computers and Internet How to Choose a Monitor?...
- H Horoscopes, Magic, Divination Where Did Tarot Cards Come From?...
- S Style and Beauty How to Make Your Lips Fuller? Ideas and Tips for Beautiful Lips...
- C Computers and Internet How to Learn to Type Fast?...
- 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?...
- S Society and Politics How Could Nobody Know About the Dead Mountaineers?...
- H Health and Medicine How to Cure Adenoids?...
Answers on questions: Mathematics
- M Mathematics Pleeaassse meee 20 point explain how to multiply numbers in scientific notation...
- M Mathematics the probability of rejecting the null hypothesis when, in fact, the null hypothesis is true is called the...
- M Mathematics One rectangle is divided into 4 parts.how much is one part...
- P Physics what force is required to act on a small piston with an area of 60cm ^ 2 to create a compressive force of 10kN in a large press with an area of 1m ^ 2...
- B Biology Sunlight can cause a person’s hair to become lighter in color. is this an example of an interaction between genes and the environment? why or why not?...
- A Arts Explain if it is possible to have agreement about aesthetic judgments and if that is a problem...
Ответ:
216 degrees is the answer.
Step-by-step explanation:
The vertical height of the cone = 8 cm
The radius of the cone = 6 cm
The perimeter or circumference of the base of the cone is given by:
P =![2\pi r](/tpl/images/0190/0634/ba846.png)
Now the slanted height is calculated using Pythagoras theorem:
H =![\sqrt{r^{2}+h^{2}}](/tpl/images/0190/0634/aa98e.png)
=![\sqrt{6^{2}+8^{2} }](/tpl/images/0190/0634/5f510.png)
Let 'θ' is the sector angle that we have to find.
Arc length of the sector is equal to the perimeter.
Arc length =
θ
θ=![12\pi /10](/tpl/images/0190/0634/44291.png)
we know that 1 pi radian = 180 degrees.
So, 1.2 pi radian =
degrees
Ответ:
1/4
Step-by-step explanation:
Point B is half way between 0 and 1. So it represents 1/2.
Point A is halfway between 0 and point B or 1/2. So it represents 1/4.