Circumcenter is where three perpendicular bisectors intersect and incenter is where the three angle bisectors intersect.
Way to find them and the theorems are mentioned below.
Step-by-step explanation:
To find Incenter :
Construct angle bisectors of each angle of the triangle and their intersection point gives the incenter.
To find Circumcenter:
Construct perpendicular bisectors of all sides of triangle and their intersection point gives the circumcenter.
Circumcenter Theorem: It states that the vertices of a triangle are equidistant from the circumcenter.
Incenter Theorem: It states that the incenter is equidistant from the sides of the triangle.
Answer:54pounds
Step-by-step explanation:63-9=54
Answer:
V = 210 cm³
Step-by-step explanation:
The volume (V) of a cube is calculated as
V = Ah ( A is the area of the base and h is the height )
Here A = 5 × 6 = 30 cm² and h = 7 cm , then
V = 30 × 7 = 210 cm³
Answer: 201 calls
Step-by-step explanation: 33-19=14
14/0.07=200
201x0.07=33.07
33.07>33
Given:
The growth of a sample of bacteria can be modeled by the function

where, b is the number of bacteria and t is time in hours.
To find:
The number of total bacteria after 3 hours.
Solution:
We have,

where, b is the number of bacteria and t is time in hours.
Substituting t=3, we get the number of total bacteria after 3 hours.


Number of bacteria cannot be decimal value. So, approximate the value to the nearest whole number.

Therefore, the number of total bacteria after 3 hours is about 3003.