An arc, a circle and a sphere describe a geometric figure consisting of the set of points in a plane that are the same distance from a given point.
An arc is any two connected sections of the circumference of a circle. Whereas an arc consists of the set of points in a plane that are the same distance from a given point it does not consist ALL the points.
A circle is a simple closed shape in consisting of the set of all points in a plane that are at a given distance from a given point, called the centre of the circle. A circle is a 2-dimensional figure and thus does not contain set of points in the 3-dimensional plane. Hence a circle does not consist ALL the points in a plane that are at a given distance from a given point.
A sphere is a perfectly round geometrical object in three-dimensional space that is the surface of a completely round ball. Like a circle, which geometrically is an object in two-dimensional space, a sphere is defined mathematically as the set of points that are all at the same distance, r, from a given point, but in three-dimensional space. This distance, r, is the radius of the sphere, and the given point is the center
of the sphere.
Thus, the sphere<span> consists of the set of ALL points in a plane that are the same distance from a given point.</span>
First thing to do is to remember, that the circumference of the full circle is 2(6)pi--12pi. you only want about 120 of it so (120/360)=1/3, so you add it into the thing earlier to get, 12pi(1/3)=4pi =12.566... which you can round into 12.6. This is answer choice A.
Answer:
See below
Step-by-step explanation:
See attached for reference
The path has been created by bikers is almost a right triangle with sides of 12, 21 and 24 miles and angles of 61, 89 and 30 deg
a) Biker A travels a straight line (hypotenuse of triangle)
It is likely the bikers meet at the bottom point of the triangle
They make almost same displacement from the start point:
24 miles ≈ √12²+21² miles
b) they meet each other
c) 30 deg
d) e) as per picture attached, it is almost right triangle
f) Together they traveled 12+21+24= 57 miles
Answer:
Total number of T-shirts= 200
Cost per T-shirt (without shipping ) = $2.80
Shipping cost per t-shirt ; 5% of a T-shirt = 0.05 *2.80 = $0.14
Total cost of T-shirt (shipping included) = 2.80 +0.14 = $2.94
Markup = 150% of total cost = 1.50 * 2.94 = $4.41
To get the price at which Michelle will sell each T-shirt , add total cost to the markup; 2.94 +4.41 = 7.35.
Therefore, selling price will be $7.35
Answer:
3 hours
Step-by-step explanation:
The difference between the initial temperature and the temperature after an hour is an increase of 5 degrees. Since we need to calculate the time it would take for the temperature to rise to 60 degrees we need to find the difference in degrees from the current temperature to 60 degrees.
60 - 45 = 15 degrees
Since 1 hour equals an increase of 5 degrees we need to divide 15 by 5 to calculate how many hours before the temperature increases to 60 degrees
15 / 5 = 3 hours
