Aug 25
From geometry terms and definitions ,we know
An exterior angle (or external angle) is an angle formed by one side of a simple polygon and a line extended from an adjacent side.
In any triangle, if one of the sides is produced, then the exterior angle is greater than either of the interior and opposite angles,
The sum of the internal angle and the external angle on the same vertex is 180°.
The sum of the measures of the external angles of a polygon ,one at each vertex is 360°.
Here angle 1,2 ,3 are external angles
1+2+3 = 360°.
Let’s see an example on this….from 10 grade math geometry
Find the value of x in the figure….
Since we have a straight line and a part of it is 80
Angle x=180-80
So x=100°
This also help solving slope of a line problems in algebra ii
Apr 30
A geometrical figure Cone with different attributes like base, slant side and height but this problem helps you to calculate height of cone with the help of volume of the cone.
Topic : Height of a Cone
Formula for finding a Volume of cone = 1/3 * ￗ * r² * h
Question : Suppose sand is being poured onto a cone- shaped pile, beginning at time t = 0, at the rate of 29.4 cubic inches per minute. At t = 2 minutes the resulting cone has a diameter of 7″. As the sand continues to be poured, the cone is always similar to its original shape, but it grows in size. Find the height of the cone at t=2minutes(remember to include the base of the pile). Round your answers to the nearest hundredth
Solution :
Rate of increase of volume is 29.9 cubic inches
Hence in the first minute the volume becomes 29.4 cubic inches
So when t = 2 (second minute) Volume = 2 * 29.4 = 58.8 cubic inches
at t = 2 ; V = 1/3 * ￗ * r² * h ; r = 7/2 = 3.5″
So 58.8 = 1/3 * 3.14 * 3.5 * 3.5 * h
58.8 = 12.822 h
h = 58.8/12.822
h = 4.5858
h = 4.59″
Thus after two minutes the pile has a height of 4.59″
For more assistance please leave your comments and geometry help will get back to you.
